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Pendharkar M, Tran SJ, Zaborski G, Finney J, Sharpe AL, Kamat RV, Kalantre SS, Hocking M, Bittner NJ, Watanabe K, Taniguchi T, Pittenger B, Newcomb CJ, Kastner MA, Mannix AJ, Goldhaber-Gordon D. Torsional force microscopy of van der Waals moirés and atomic lattices. Proc Natl Acad Sci U S A 2024; 121:e2314083121. [PMID: 38427599 DOI: 10.1073/pnas.2314083121] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/17/2023] [Accepted: 01/11/2024] [Indexed: 03/03/2024] Open
Abstract
In a stack of atomically thin van der Waals layers, introducing interlayer twist creates a moiré superlattice whose period is a function of twist angle. Changes in that twist angle of even hundredths of a degree can dramatically transform the system's electronic properties. Setting a precise and uniform twist angle for a stack remains difficult; hence, determining that twist angle and mapping its spatial variation is very important. Techniques have emerged to do this by imaging the moiré, but most of these require sophisticated infrastructure, time-consuming sample preparation beyond stack synthesis, or both. In this work, we show that torsional force microscopy (TFM), a scanning probe technique sensitive to dynamic friction, can reveal surface and shallow subsurface structure of van der Waals stacks on multiple length scales: the moirés formed between bi-layers of graphene and between graphene and hexagonal boron nitride (hBN) and also the atomic crystal lattices of graphene and hBN. In TFM, torsional motion of an Atomic Force Microscope (AFM) cantilever is monitored as it is actively driven at a torsional resonance while a feedback loop maintains contact at a set force with the sample surface. TFM works at room temperature in air, with no need for an electrical bias between the tip and the sample, making it applicable to a wide array of samples. It should enable determination of precise structural information including twist angles and strain in moiré superlattices and crystallographic orientation of van der Waals flakes to support predictable moiré heterostructure fabrication.
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Affiliation(s)
- Mihir Pendharkar
- Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, CA 94025
- Department of Materials Science and Engineering, Stanford University, Stanford, CA 94305
| | - Steven J Tran
- Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, CA 94025
- Department of Physics, Stanford University, Stanford, CA 94305
| | - Gregory Zaborski
- Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, CA 94025
- Department of Materials Science and Engineering, Stanford University, Stanford, CA 94305
| | - Joe Finney
- Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, CA 94025
- Department of Physics, Stanford University, Stanford, CA 94305
| | - Aaron L Sharpe
- Materials Physics Department, Sandia National Laboratories, Livermore, CA 94550
| | - Rupini V Kamat
- Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, CA 94025
- Department of Physics, Stanford University, Stanford, CA 94305
| | - Sandesh S Kalantre
- Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, CA 94025
- Department of Physics, Stanford University, Stanford, CA 94305
| | - Marisa Hocking
- Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, CA 94025
- Department of Materials Science and Engineering, Stanford University, Stanford, CA 94305
| | | | - Kenji Watanabe
- Research Center for Electronic and Optical Materials, National Institute for Materials Science, Tsukuba 305-0044, Japan
| | - Takashi Taniguchi
- Research Center for Materials Nanoarchitectonics, National Institute for Materials Science, Tsukuba 305-0044, Japan
| | | | | | - Marc A Kastner
- Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, CA 94025
- Department of Physics, Stanford University, Stanford, CA 94305
- Department of Physics, Massachusetts Institute of Technology, Cambridge, MA 02139
| | - Andrew J Mannix
- Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, CA 94025
- Department of Materials Science and Engineering, Stanford University, Stanford, CA 94305
| | - David Goldhaber-Gordon
- Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, CA 94025
- Department of Physics, Stanford University, Stanford, CA 94305
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2
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Wang X, Finney J, Sharpe AL, Rodenbach LK, Hsueh CL, Watanabe K, Taniguchi T, Kastner MA, Vafek O, Goldhaber-Gordon D. Unusual magnetotransport in twisted bilayer graphene from strain-induced open Fermi surfaces. Proc Natl Acad Sci U S A 2023; 120:e2307151120. [PMID: 37579169 PMCID: PMC10450440 DOI: 10.1073/pnas.2307151120] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/08/2023] [Accepted: 07/15/2023] [Indexed: 08/16/2023] Open
Abstract
Anisotropic hopping in a toy Hofstadter model was recently invoked to explain a rich and surprising Landau spectrum measured in twisted bilayer graphene away from the magic angle. Suspecting that such anisotropy could arise from unintended uniaxial strain, we extend the Bistritzer-MacDonald model to include uniaxial heterostrain and present a detailed analysis of its impact on band structure and magnetotransport. We find that such strain strongly influences band structure, shifting the three otherwise-degenerate van Hove points to different energies. Coupled to a Boltzmann magnetotransport calculation, this reproduces previously unexplained nonsaturating [Formula: see text] magnetoresistance over broad ranges of density near filling [Formula: see text] and predicts subtler features that had not been noticed in the experimental data. In contrast to these distinctive signatures in longitudinal resistivity, the Hall coefficient is barely influenced by strain, to the extent that it still shows a single sign change on each side of the charge neutrality point-surprisingly, this sign change no longer occurs at a van Hove point. The theory also predicts a marked rotation of the electrical transport principal axes as a function of filling even for fixed strain and for rigid bands. More careful examination of interaction-induced nematic order versus strain effects in twisted bilayer graphene could thus be in order.
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Affiliation(s)
- Xiaoyu Wang
- National High Magnetic Field Laboratory, Tallahassee, FL32310
| | - Joe Finney
- Department of Physics, Stanford University, Stanford, CA94305
- Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, CA94025
| | - Aaron L. Sharpe
- Materials Physics Department, Sandia National Laboratories, Livermore, CA94550
| | - Linsey K. Rodenbach
- Department of Physics, Stanford University, Stanford, CA94305
- Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, CA94025
| | - Connie L. Hsueh
- Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, CA94025
- Department of Applied Physics, Stanford University, Stanford, CA94305
| | - Kenji Watanabe
- Research Center for Functional Materials, National Institute for Materials Science, Tsukuba305-0044, Japan
| | - Takashi Taniguchi
- International Center for Materials Nanoarchitectonics, National Institute for Materials Science, Tsukuba305-0044, Japan
| | - M. A. Kastner
- Department of Physics, Stanford University, Stanford, CA94305
- Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, CA94025
- Department of Physics, Massachusetts Institute of Technology, Cambridge, MA02139
| | - Oskar Vafek
- National High Magnetic Field Laboratory, Tallahassee, FL32310
- Department of Physics, Florida State University, Tallahassee, FL32306
| | - David Goldhaber-Gordon
- Department of Physics, Stanford University, Stanford, CA94305
- Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, CA94025
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3
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Sharpe AL. Stacks on stacks on stacks. Nat Mater 2022; 21:842-843. [PMID: 35798948 DOI: 10.1038/s41563-022-01314-1] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/15/2023]
Affiliation(s)
- Aaron L Sharpe
- Materials Physics Department, Sandia National Laboratories, Livermore, CA, USA.
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Bachmann MD, Sharpe AL, Baker G, Barnard AW, Putzke C, Scaffidi T, Nandi N, McGuinness PH, Zhakina E, Moravec M, Khim S, König M, Goldhaber-Gordon D, Bonn DA, Mackenzie AP, Moll PJW. Directional ballistic transport in the two-dimensional metal PdCoO 2. Nat Phys 2022; 18:819-824. [PMID: 35847475 PMCID: PMC9279146 DOI: 10.1038/s41567-022-01570-7] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 03/06/2021] [Accepted: 02/25/2022] [Indexed: 06/15/2023]
Abstract
In an idealized infinite crystal, the material properties are constrained by the symmetries of the unit cell. The point-group symmetry is broken by the sample shape of any finite crystal, but this is commonly unobservable in macroscopic metals. To sense the shape-induced symmetry lowering in such metals, long-lived bulk states originating from an anisotropic Fermi surface are needed. Here we show how a strongly facetted Fermi surface and the long quasiparticle mean free path present in microstructures of PdCoO2 yield an in-plane resistivity anisotropy that is forbidden by symmetry on an infinite hexagonal lattice. We fabricate bar-shaped transport devices narrower than the mean free path from single crystals using focused ion beam milling, such that the ballistic charge carriers at low temperatures frequently collide with both of the side walls that define the channel. Two symmetry-forbidden transport signatures appear: the in-plane resistivity anisotropy exceeds a factor of 2, and a transverse voltage appears in zero magnetic field. Using ballistic Monte Carlo simulations and a numerical solution of the Boltzmann equation, we identify the orientation of the narrow channel as the source of symmetry breaking.
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Affiliation(s)
- Maja D. Bachmann
- Max Planck Institute for Chemical Physics of Solids, Dresden, Germany
- School of Physics and Astronomy, University of St Andrews, St Andrews, UK
| | - Aaron L. Sharpe
- Department of Applied Physics, Stanford University, Stanford, CA USA
- SLAC National Accelerator Laboratory, Menlo Park, CA USA
| | - Graham Baker
- Department of Physics and Astronomy & Stewart Blusson Quantum Matter Institute, University of British Columbia, Vancouver, British Columbia Canada
| | | | - Carsten Putzke
- Max Planck Institute for Chemical Physics of Solids, Dresden, Germany
- Institute of Materials, École Polytechnique Fédérale de Lausanne (EPFL), Lausanne, Switzerland
| | - Thomas Scaffidi
- Department of Physics, University of Toronto, Toronto, Ontario Canada
| | - Nabhanila Nandi
- Max Planck Institute for Chemical Physics of Solids, Dresden, Germany
| | - Philippa H. McGuinness
- Max Planck Institute for Chemical Physics of Solids, Dresden, Germany
- School of Physics and Astronomy, University of St Andrews, St Andrews, UK
| | - Elina Zhakina
- Max Planck Institute for Chemical Physics of Solids, Dresden, Germany
- School of Physics and Astronomy, University of St Andrews, St Andrews, UK
| | - Michal Moravec
- Max Planck Institute for Chemical Physics of Solids, Dresden, Germany
- School of Physics and Astronomy, University of St Andrews, St Andrews, UK
| | - Seunghyun Khim
- Max Planck Institute for Chemical Physics of Solids, Dresden, Germany
| | - Markus König
- Max Planck Institute for Chemical Physics of Solids, Dresden, Germany
| | - David Goldhaber-Gordon
- SLAC National Accelerator Laboratory, Menlo Park, CA USA
- Department of Physics, Stanford University, Stanford, CA USA
| | - Douglas A. Bonn
- Department of Physics and Astronomy & Stewart Blusson Quantum Matter Institute, University of British Columbia, Vancouver, British Columbia Canada
| | - Andrew P. Mackenzie
- Max Planck Institute for Chemical Physics of Solids, Dresden, Germany
- School of Physics and Astronomy, University of St Andrews, St Andrews, UK
| | - Philip J. W. Moll
- Max Planck Institute for Chemical Physics of Solids, Dresden, Germany
- Institute of Materials, École Polytechnique Fédérale de Lausanne (EPFL), Lausanne, Switzerland
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5
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Chen G, Sharpe AL, Fox EJ, Wang S, Lyu B, Jiang L, Li H, Watanabe K, Taniguchi T, Crommie MF, Kastner MA, Shi Z, Goldhaber-Gordon D, Zhang Y, Wang F. Tunable Orbital Ferromagnetism at Noninteger Filling of a Moiré Superlattice. Nano Lett 2022; 22:238-245. [PMID: 34978444 DOI: 10.1021/acs.nanolett.1c03699] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/14/2023]
Abstract
The flat bands resulting from moiré superlattices exhibit fascinating correlated electron phenomena such as correlated insulators, ( Nature 2018, 556 (7699), 80-84), ( Nature Physics 2019, 15 (3), 237) superconductivity, ( Nature 2018, 556 (7699), 43-50), ( Nature 2019, 572 (7768), 215-219) and orbital magnetism. ( Science 2019, 365 (6453), 605-608), ( Nature 2020, 579 (7797), 56-61), ( Science 2020, 367 (6480), 900-903) Such magnetism has been observed only at particular integer multiples of n0, the density corresponding to one electron per moiré superlattice unit cell. Here, we report the experimental observation of ferromagnetism at noninteger filling (NIF) of a flat Chern band in a ABC-TLG/hBN moiré superlattice. This state exhibits prominent ferromagnetic hysteresis behavior with large anomalous Hall resistivity in a broad region of densities centered in the valence miniband at n = -2.3n0. We observe that, not only the magnitude of the anomalous Hall signal, but also the sign of the hysteretic ferromagnetic response can be modulated by tuning the carrier density and displacement field. Rotating the sample in a fixed magnetic field demonstrates that the ferromagnetism is highly anisotropic and likely purely orbital in character.
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Affiliation(s)
- Guorui Chen
- Department of Physics, University of California at Berkeley, Berkeley, California 94720, United States
- Key Laboratory of Artificial Structures and Quantum Control (Ministry of Education), Shenyang National Laboratory for Materials Science, School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China
| | - Aaron L Sharpe
- Department of Applied Physics, Stanford University, Stanford, California 94305, United States
- Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, California 94025, United States
- Quantum and Electronic Materials Department, Sandia National Laboratories, Livermore, California 94550, United States
| | - Eli J Fox
- Department of Applied Physics, Stanford University, Stanford, California 94305, United States
- Department of Physics, Stanford University, Stanford, California 94305, United States
| | - Shaoxin Wang
- Department of Physics, University of California at Berkeley, Berkeley, California 94720, United States
| | - Bosai Lyu
- Key Laboratory of Artificial Structures and Quantum Control (Ministry of Education), Shenyang National Laboratory for Materials Science, School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China
| | - Lili Jiang
- Department of Physics, University of California at Berkeley, Berkeley, California 94720, United States
| | - Hongyuan Li
- Department of Physics, University of California at Berkeley, Berkeley, California 94720, United States
- Materials Science Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, United States
| | - Kenji Watanabe
- Research Center for Functional Materials, National Institute for Materials Science, 1-1 Namiki, Tsukuba 305-0044, Japan
| | - Takashi Taniguchi
- International Center for Materials Nanoarchitectonics, National Institute for Materials Science, 1-1 Namiki, Tsukuba 305-0044, Japan
| | - Michael F Crommie
- Department of Physics, University of California at Berkeley, Berkeley, California 94720, United States
- Materials Science Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, United States
- Kavli Energy NanoSciences Institute, University of California, Berkeley and the Lawrence Berkeley National Laboratory, Berkeley, California 94720, United States
| | - Marc A Kastner
- Department of Applied Physics, Stanford University, Stanford, California 94305, United States
- Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, California 94025, United States
- Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, United States
| | - Zhiwen Shi
- Key Laboratory of Artificial Structures and Quantum Control (Ministry of Education), Shenyang National Laboratory for Materials Science, School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China
| | - David Goldhaber-Gordon
- Department of Applied Physics, Stanford University, Stanford, California 94305, United States
- Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, California 94025, United States
| | - Yuanbo Zhang
- State Key Laboratory of Surface Physics and Department of Physics, Fudan University, Shanghai 200433, China
- Institute for Nanoelectronic Devices and Quantum Computing, Fudan University, Shanghai 200433, China
| | - Feng Wang
- Department of Physics, University of California at Berkeley, Berkeley, California 94720, United States
- Materials Science Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, United States
- Kavli Energy NanoSciences Institute, University of California, Berkeley and the Lawrence Berkeley National Laboratory, Berkeley, California 94720, United States
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6
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Sharpe AL, Fox EJ, Barnard AW, Finney J, Watanabe K, Taniguchi T, Kastner MA, Goldhaber-Gordon D. Evidence of Orbital Ferromagnetism in Twisted Bilayer Graphene Aligned to Hexagonal Boron Nitride. Nano Lett 2021; 21:4299-4304. [PMID: 33970644 DOI: 10.1021/acs.nanolett.1c00696] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/12/2023]
Abstract
We have previously reported ferromagnetism evinced by a large hysteretic anomalous Hall effect in twisted bilayer graphene (tBLG). Subsequent measurements of a quantized Hall resistance and small longitudinal resistance confirmed that this magnetic state is a Chern insulator. Here, we report that when tilting the sample in an external magnetic field, the ferromagnetism is highly anisotropic. Because spin-orbit coupling is weak in graphene, such anisotropy is unlikely to come from spin but rather favors theories in which the ferromagnetism is orbital. We know of no other case in which ferromagnetism has a purely orbital origin. For an applied in-plane field larger than 5 T, the out-of-plane magnetization is destroyed, suggesting a transition to a new phase.
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Affiliation(s)
- Aaron L Sharpe
- Department of Applied Physics, Stanford University, 348 Via Pueblo Mall, Stanford, California 94305, United States
- Stanford Institute for Materials and Energy Science, SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, United States
| | - Eli J Fox
- Stanford Institute for Materials and Energy Science, SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, United States
- Department of Physics, Stanford University, 382 Via Pueblo Mall, Stanford, California 94305, United States
| | - Arthur W Barnard
- Stanford Institute for Materials and Energy Science, SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, United States
- Department of Physics, Stanford University, 382 Via Pueblo Mall, Stanford, California 94305, United States
- Department of Physics and Department of Materials Science and Engineering, University of Washington, 302 Roberts Hall, Seattle, Washington 98195, United States
| | - Joe Finney
- Stanford Institute for Materials and Energy Science, SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, United States
- Department of Physics, Stanford University, 382 Via Pueblo Mall, Stanford, California 94305, United States
| | - Kenji Watanabe
- Research Center for Functional Materials, National Institute for Materials Science, 1-1 Namiki, Tsukuba 305-0044, Japan
| | - Takashi Taniguchi
- International Center for Materials Nanoarchitectonics, National Institute for Materials Science, 1-1 Namiki, Tsukuba 305-0044, Japan
| | - Marc A Kastner
- Stanford Institute for Materials and Energy Science, SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, United States
- Department of Physics, Stanford University, 382 Via Pueblo Mall, Stanford, California 94305, United States
- Department of Physics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139, United States
| | - David Goldhaber-Gordon
- Stanford Institute for Materials and Energy Science, SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, United States
- Department of Physics, Stanford University, 382 Via Pueblo Mall, Stanford, California 94305, United States
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7
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Chen G, Sharpe AL, Fox EJ, Zhang YH, Wang S, Jiang L, Lyu B, Li H, Watanabe K, Taniguchi T, Shi Z, Senthil T, Goldhaber-Gordon D, Zhang Y, Wang F. Tunable correlated Chern insulator and ferromagnetism in a moiré superlattice. Nature 2020; 579:56-61. [DOI: 10.1038/s41586-020-2049-7] [Citation(s) in RCA: 273] [Impact Index Per Article: 68.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/16/2019] [Accepted: 12/11/2019] [Indexed: 11/09/2022]
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Chen G, Sharpe AL, Gallagher P, Rosen IT, Fox EJ, Jiang L, Lyu B, Li H, Watanabe K, Taniguchi T, Jung J, Shi Z, Goldhaber-Gordon D, Zhang Y, Wang F. Signatures of tunable superconductivity in a trilayer graphene moiré superlattice. Nature 2019; 572:215-219. [PMID: 31316203 DOI: 10.1038/s41567-018-0387-2] [Citation(s) in RCA: 150] [Impact Index Per Article: 30.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/01/2018] [Accepted: 05/09/2019] [Indexed: 05/27/2023]
Abstract
Understanding the mechanism of high-transition-temperature (high-Tc) superconductivity is a central problem in condensed matter physics. It is often speculated that high-Tc superconductivity arises in a doped Mott insulator1 as described by the Hubbard model2-4. An exact solution of the Hubbard model, however, is extremely challenging owing to the strong electron-electron correlation in Mott insulators. Therefore, it is highly desirable to study a tunable Hubbard system, in which systematic investigations of the unconventional superconductivity and its evolution with the Hubbard parameters can deepen our understanding of the Hubbard model. Here we report signatures of tunable superconductivity in an ABC-trilayer graphene (TLG) and hexagonal boron nitride (hBN) moiré superlattice. Unlike in 'magic angle' twisted bilayer graphene, theoretical calculations show that under a vertical displacement field, the ABC-TLG/hBN heterostructure features an isolated flat valence miniband associated with a Hubbard model on a triangular superlattice5,6 where the bandwidth can be tuned continuously with the vertical displacement field. Upon applying such a displacement field we find experimentally that the ABC-TLG/hBN superlattice displays Mott insulating states below 20 kelvin at one-quarter and one-half fillings of the states, corresponding to one and two holes per unit cell, respectively. Upon further cooling, signatures of superconductivity ('domes') emerge below 1 kelvin for the electron- and hole-doped sides of the one-quarter-filling Mott state. The electronic behaviour in the ABC-TLG/hBN superlattice is expected to depend sensitively on the interplay between the electron-electron interaction and the miniband bandwidth. By varying the vertical displacement field, we demonstrate transitions from the candidate superconductor to Mott insulator and metallic phases. Our study shows that ABC-TLG/hBN heterostructures offer attractive model systems in which to explore rich correlated behaviour emerging in the tunable triangular Hubbard model.
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Affiliation(s)
- Guorui Chen
- Materials Science Division, Lawrence Berkeley National Laboratory, Berkeley, CA, USA
- Department of Physics, University of California at Berkeley, Berkeley, CA, USA
| | - Aaron L Sharpe
- Department of Applied Physics, Stanford University, Stanford, CA, USA
- Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, CA, USA
| | - Patrick Gallagher
- Materials Science Division, Lawrence Berkeley National Laboratory, Berkeley, CA, USA
- Department of Physics, University of California at Berkeley, Berkeley, CA, USA
| | - Ilan T Rosen
- Department of Applied Physics, Stanford University, Stanford, CA, USA
- Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, CA, USA
| | - Eli J Fox
- Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, CA, USA
- Department of Physics, Stanford University, Stanford, CA, USA
| | - Lili Jiang
- Department of Physics, University of California at Berkeley, Berkeley, CA, USA
| | - Bosai Lyu
- Key Laboratory of Artificial Structures and Quantum Control (Ministry of Education), School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai, China
- Collaborative Innovation Center of Advanced Microstructures, Nanjing, China
| | - Hongyuan Li
- Key Laboratory of Artificial Structures and Quantum Control (Ministry of Education), School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai, China
- Collaborative Innovation Center of Advanced Microstructures, Nanjing, China
| | - Kenji Watanabe
- National Institute for Materials Science, Tsukuba, Japan
| | | | - Jeil Jung
- Department of Physics, University of Seoul, Seoul, South Korea
| | - Zhiwen Shi
- Key Laboratory of Artificial Structures and Quantum Control (Ministry of Education), School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai, China
- Collaborative Innovation Center of Advanced Microstructures, Nanjing, China
| | - David Goldhaber-Gordon
- Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, CA, USA.
- Department of Physics, Stanford University, Stanford, CA, USA.
| | - Yuanbo Zhang
- Collaborative Innovation Center of Advanced Microstructures, Nanjing, China.
- State Key Laboratory of Surface Physics and Department of Physics, Fudan University, Shanghai, China.
- Institute for Nanoelectronic Devices and Quantum Computing, Fudan University, Shanghai, China.
| | - Feng Wang
- Materials Science Division, Lawrence Berkeley National Laboratory, Berkeley, CA, USA.
- Department of Physics, University of California at Berkeley, Berkeley, CA, USA.
- Kavli Energy NanoSciences Institute at the University of California, Berkeley, CA, USA.
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Sharpe AL, Fox EJ, Barnard AW, Finney J, Watanabe K, Taniguchi T, Kastner MA, Goldhaber-Gordon D. Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene. Science 2019; 365:605-608. [DOI: 10.1126/science.aaw3780] [Citation(s) in RCA: 724] [Impact Index Per Article: 144.8] [Reference Citation Analysis] [What about the content of this article? (0)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/15/2018] [Accepted: 07/03/2019] [Indexed: 01/21/2023]
Abstract
When two sheets of graphene are stacked at a small twist angle, the resulting flat superlattice minibands are expected to strongly enhance electron-electron interactions. Here, we present evidence that near three-quarters (34) filling of the conduction miniband, these enhanced interactions drive the twisted bilayer graphene into a ferromagnetic state. In a narrow density range around an apparent insulating state at34, we observe emergent ferromagnetic hysteresis, with a giant anomalous Hall (AH) effect as large as 10.4 kilohms and indications of chiral edge states. Notably, the magnetization of the sample can be reversed by applying a small direct current. Although the AH resistance is not quantized, and dissipation is present, our measurements suggest that the system may be an incipient Chern insulator.
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10
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Burton JC, Sharpe AL, van der Veen RCA, Franco A, Nagel SR. Geometry of the vapor layer under a leidenfrost drop. Phys Rev Lett 2012; 109:074301. [PMID: 23006372 DOI: 10.1103/physrevlett.109.074301] [Citation(s) in RCA: 29] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/09/2012] [Indexed: 06/01/2023]
Abstract
In the Leidenfrost effect, liquid drops deposited on a hot surface levitate on a thin vapor cushion fed by evaporation of the liquid. This vapor layer forms a concave depression in the drop interface. Using laser-light interference coupled to high-speed imaging, we measured the radius, curvature, and height of the vapor pocket, as well as nonaxisymmetric fluctuations of the interface for water drops at different temperatures. The geometry of the vapor pocket depends primarily on the drop size and not on the substrate temperature.
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Affiliation(s)
- J C Burton
- James Franck Institute, Chicago, Illinois 60637, USA.
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Abstract
BACKGROUND Previous studies have demonstrated that administration of central cannabinoid receptor (CB1) ligands can produce marked effects on ingestive behaviors. However, the possible relationship to ethanol self-administration has not been fully examined. The present series of experiments was designed to characterize further the role of CB1 receptors in appetitive and consummatory behaviors related to sucrose and ethanol. METHODS To determine the relative contribution of CB1 receptors to ethanol seeking and consumption, a series of experiments was designed using the sipper-tube model. In this paradigm, the appetitive and consummatory phases of ethanol and sucrose self-administration are separated. In the appetitive phase, animals are required to complete a response requirement (16 lever presses) within 20 min. If the requirement is successfully completed, access to a sipper tube containing either sucrose or ethanol (consummatory phase) is made available for 20 min. RESULTS In the ethanol condition, the CB1 receptor antagonist SR141716A (0.3-3.0 mg/kg, ip) produced dose-related decreases in the probability of response requirement completion without significantly affecting latency to first lever press or overall lever press rate. In the sucrose condition, SR141716A (0.3-3.0 mg/kg, ip) increased first lever press latency without affecting lever press rate. In the consummatory phase, SR141716A (0.3-3.0 mg/kg, ip) administration markedly decreased total intake and the total number of licks for both ethanol and sucrose. CONCLUSIONS These data indicate that CB1 receptors are involved in mediating both appetitive and consummatory aspects of ingestive behaviors related to sucrose and ethanol.
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Affiliation(s)
- C S Freedland
- Department of Physiology and Pharmacology, Wake Forest University School of Medicine, Winston-Salem, North Carolina 27157, USA
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12
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Abstract
RATIONALE The concepts of appetitive and consummatory behaviors provide a framework for examining ethanol-drinking behavior. However, traditional studies of ethanol self-administration using dipper procedures make separating the appetitive from the consummatory components difficult. OBJECTIVE This study compared the ability to initiate ethanol self-administration using a new sipper-tube self-administration procedure with the older established sucrose-substitution initiation model that employed dipper presented reinforcement. The new model was developed to allow for an assessment of the appetitive and consummatory components in ethanol self-administration. METHODS For the sipper-tube procedure, the rats were initiated to self-administer ethanol using a sucrose-substitution procedure that provided limited access to a sipper tube containing ethanol. This procedure required the completion of a fixed ratio requirement (FR4) in order to gain access to a sipper tube for 20 min. Initially, a 20% sucrose solution with no ethanol was provided in the sipper tube. Over sessions, the concentration of sucrose was reduced and the ethanol concentration increased, until 10% ethanol in water was the solution presented. A second group of animals was initiated to self-administer ethanol using the dipper-presentation procedure employed in our laboratory for many years. This group was used for comparison of the effectiveness of initiation in the sipper-tube procedure. RESULTS Following initiation, the sipper-tube rats self-administered 10% ethanol in water with intakes averaging 0.75 g/kg during the 20-min drinking period. Increasing the ethanol concentrations as high as 20%, increased intakes as high as 1.5 g/kg. The ethanol intakes observed were similar to those obtained with the dipper initiation procedure but occurred in one-third of the time. CONCLUSIONS The sipper-tube procedure employed here results in similar ethanol self-administration behavior as has been found with a dipper presentation procedure. More importantly, however, it allows for a separation of the appetitive and consummatory components of ethanol self-administration. This separation may prove useful for examining the strength of ethanol-seeking behaviors without the confound of increasing levels of ethanol interacting with the appetitive seeking behaviors.
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Affiliation(s)
- H H Samson
- Department of Physiology and Pharmacology, Wake Forest University School of Medicine, Winston-Salem, NC 27157-1083, USA.
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Samson HH, Slawecki CJ, Sharpe AL, Chappell A. Appetitive and consummatory behaviors in the control of ethanol consumption: a measure of ethanol seeking behavior. Alcohol Clin Exp Res 1998; 22:1783-7. [PMID: 9835295] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [MESH Headings] [Grants] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/09/2023]
Abstract
Models of ethanol self-administration in animals have demonstrated that ethanol can reinforce a variety of behaviors, independent of ethanol's caloric or fluid properties. However, the processes that control self-administration remain unclear. Determining factors related to ethanol seeking behavior, independent of consumption, is central to the concepts of intake regulation. The model described in this article proposes a method to separate the initial appetitive (seeking) behavior from the following consummatory (drinking) behavior to assess each behavior type. Rats were trained to lever press to gain access to a drinking tube connected to a fluid bottle containing either 10% ethanol or 3% sucrose for 20 min. When the response requirement to obtain access to the tube was increased, it was found that both solutions supported the same amount of responding (breakpoint was at approximately a fixed ratio 32 requirement), indicating equal reinforcer strength. However, regardless of the response requirement, if access to the fluids occurred, intakes were not changed. This suggests that factors besides those of reinforcer efficacy are important in controlling the size of the consummatory bout. Based on these findings, we believe that this model will be useful in determining factors related to seeking behaviors and the control of drinking bout size.
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Affiliation(s)
- H H Samson
- Department of Physiology and Pharmacology, Wake Forest University School of Medicine, Winston-Salem, North Carolina 27157-1083, USA
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14
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Abstract
Chlorinated acetaldehydes have been the focus of research due to their role as reactive intermediates and their possible occurrence in chlorinated drinking water. This study investigated the in vitro substrate specificity of cytosolic and mitochondrial rat liver aldehyde dehydrogenase toward these compounds. Monochloroacetaldehyde was found to be extensively metabolized by these enzymes, to an even greater extent than the standard substrate propionaldehyde. Dichloroacetaldehyde was metabolized to a much lesser extent, and chloral hydrate is not metabolized by this enzyme family. The Km (mM) and Vmax (Vmax for propionaldehyde set to 100) values with the low Km cytosolic enzyme were monochloroacetaldehyde 0.046 and 582, and dichloroacetaldehyde 0.13 and 54.9, and those with the high Km cytosolic enzyme were dichloroacetaldehyde 0.35 and 23.4. The values with the low Km mitochondrial enzyme were monochloroacetaldehyde 0.057 and 462 and dichloroacetaldehyde 0.038 and 12.9, and those with the high Km mitochondrial enzyme were monocloroacetaldehyde 0.024 and 55.5 and dichloroacetaldehyde 0.29 and 3.44. These data suggest that aldehyde dehydrogenase plays a significant role in the metabolism of monochloroacetaldehyde and, to some extent, dichloroacetaldehyde. Some evidence also suggested that alcohol dehydrogenase plays a significant role in the metabolism of dichloroacetaldehyde and chloral hydrate.
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Affiliation(s)
- A L Sharpe
- Department of Pharmacology and Toxicology, College of Pharmacy, University of Arizona, Tucson 85721
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