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Hu D, Feng Y, Park JT, Wo H, Wang Q, Bourdarot F, Ivanov A, Zhao J. Polarized neutron scattering studies of magnetic excitations in iron-selenide superconductor Li 0.8Fe 0.2ODFeSe ( Tc=41 K). JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2021; 33:45LT01. [PMID: 34384050 DOI: 10.1088/1361-648x/ac1d16] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/18/2021] [Accepted: 08/12/2021] [Indexed: 06/13/2023]
Abstract
We report polarized neutron scattering measurements of the low energy spin fluctuations of the iron-selenide superconductor Li0.8Fe0.2ODFeSe below and above its superconducting transition temperatureTc= 41 K. Our experiments confirmed that the resonance mode near 21 meV is magnetic. Moreover, the spin excitations are essentially isotropic in spin space at 5 ⩽E⩽ 29 meV in the superconducting and normal states. Our results suggest that the resonance mode in iron-based superconductors becomes isotropic when the influence of spin-orbit coupling and magnetic/nematic order is minimized, similar to those observed in cuprate superconductors.
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Affiliation(s)
- Die Hu
- State Key Laboratory of Surface Physics and Department of Physics, Fudan University, Shanghai 200433, People's Republic of China
| | - Yu Feng
- State Key Laboratory of Surface Physics and Department of Physics, Fudan University, Shanghai 200433, People's Republic of China
| | - Jitae T Park
- Heinz Maier-Leibnitz Zentrum (MLZ), Technische Universität München, D-85748 Garching, Germany
| | - Hongliang Wo
- State Key Laboratory of Surface Physics and Department of Physics, Fudan University, Shanghai 200433, People's Republic of China
| | - Qisi Wang
- State Key Laboratory of Surface Physics and Department of Physics, Fudan University, Shanghai 200433, People's Republic of China
| | | | - Alexandre Ivanov
- Institute Laue-Langevin, 71 Avenue des Martyrs CS 20156, 38042 Grenoble Cedex 9, France
| | - Jun Zhao
- State Key Laboratory of Surface Physics and Department of Physics, Fudan University, Shanghai 200433, People's Republic of China
- Institute for Nanoelectronic Devices and Quantum Computing, Fudan University, Shanghai 200433, People's Republic of China
- Shanghai Qi Zhi Institute, Shanghai, 200232, People's Republic of China
- Shanghai Research Center for Quantum Sciences, Shanghai 201315, People's Republic of China
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Abstract
Emergent electronic phenomena in iron-based superconductors have been at the forefront of condensed matter physics for more than a decade. Much has been learned about the origins and intertwined roles of ordered phases, including nematicity, magnetism, and superconductivity, in this fascinating class of materials. In recent years, focus has been centered on the peculiar and highly unusual properties of FeSe and its close cousins. This family of materials has attracted considerable attention due to the discovery of unexpected superconducting gap structures, a wide range of superconducting critical temperatures, and evidence for nontrivial band topology, including associated spin-helical surface states and vortex-induced Majorana bound states. Here, we review superconductivity in iron chalcogenide superconductors, including bulk FeSe, doped bulk FeSe, FeTe1−xSex, intercalated FeSe materials, and monolayer FeSe and FeTe1−xSex on SrTiO3. We focus on the superconducting properties, including a survey of the relevant experimental studies, and a discussion of the different proposed theoretical pairing scenarios. In the last part of the paper, we review the growing recent evidence for nontrivial topological effects in FeSe-related materials, focusing again on interesting implications for superconductivity.
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Kheirkhah M, Yan Z, Nagai Y, Marsiglio F. First- and Second-Order Topological Superconductivity and Temperature-Driven Topological Phase Transitions in the Extended Hubbard Model with Spin-Orbit Coupling. PHYSICAL REVIEW LETTERS 2020; 125:017001. [PMID: 32678655 DOI: 10.1103/physrevlett.125.017001] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/23/2020] [Accepted: 06/02/2020] [Indexed: 06/11/2023]
Abstract
The combination of spin-orbit coupling with interactions results in many exotic phases of matter. In this Letter, we investigate the superconducting pairing instability of the two-dimensional extended Hubbard model with both Rashba and Dresselhaus spin-orbit coupling within the mean-field level at both zero and finite temperature. We find that both first- and second-order time-reversal symmetry breaking topological gapped phases can be achieved under appropriate parameters and temperature regimes due to the presence of a favored even-parity s+id-wave pairing even in the absence of an external magnetic field or intrinsic magnetism. This results in two branches of chiral Majorana edge states on each edge or a single zero-energy Majorana corner state at each corner of the sample. Interestingly, we also find that not only does tuning the doping level lead to a direct topological phase transition between these two distinct topological gapped phases, but also using the temperature as a highly controllable and reversible tuning knob leads to different direct temperature-driven topological phase transitions between gapped and gapless topological superconducting phases. Our findings suggest new possibilities in interacting spin-orbit coupled systems by unifying both first- and higher-order topological superconductors in a simple but realistic microscopic model.
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Affiliation(s)
- Majid Kheirkhah
- Department of Physics, University of Alberta, Edmonton, Alberta T6G 2E1, Canada
| | - Zhongbo Yan
- School of Physics, Sun Yat-Sen University, Guangzhou 510275, China
| | - Yuki Nagai
- CCSE, Japan Atomic Energy Agency, 178-4-4, Wakashiba, Kashiwa, Chiba 277-0871, Japan
- Mathematical Science Team, RIKEN Center for Advanced Intelligence Project (AIP), 1-4-1 Nihonbashi, Chuo-ku, Tokyo 103-0027, Japan
| | - Frank Marsiglio
- Department of Physics, University of Alberta, Edmonton, Alberta T6G 2E1, Canada
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Abstract
We introduce a computational approach to study porphyrin-like transition metal complexes, bridging density functional theory and exact many-body techniques, such as the density matrix renormalization group (DMRG). We first derive a multi-orbital Anderson impurity Hamiltonian starting from first principles considerations that qualitatively reproduce generalized gradient approximation (GGA)+U results when ignoring inter-orbital Coulomb repulsion U ′ and Hund exchange J. An exact canonical transformation is used to reduce the dimensionality of the problem and make it amenable to DMRG calculations, including all many-body terms (both intra- and inter-orbital), which are treated in a numerically exact way. We apply this technique to FeN 4 centers in graphene and show that the inclusion of these terms has dramatic effects: as the iron orbitals become single occupied due to the Coulomb repulsion, the inter-orbital interaction further reduces the occupation, yielding a non-monotonic behavior of the magnetic moment as a function of the interactions, with maximum polarization only in a small window at intermediate values of the parameters. Furthermore, U ′ changes the relative position of the peaks in the density of states, particularly on the iron d z 2 orbital, which is expected to affect the binding of ligands greatly.
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Wang C, Lian B, Guo X, Mao J, Zhang Z, Zhang D, Gu BL, Xu Y, Duan W. Type-II Ising Superconductivity in Two-Dimensional Materials with Spin-Orbit Coupling. PHYSICAL REVIEW LETTERS 2019; 123:126402. [PMID: 31633945 DOI: 10.1103/physrevlett.123.126402] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/03/2019] [Revised: 07/16/2019] [Indexed: 06/10/2023]
Abstract
Centrosymmetric materials with spin-degenerate bands are generally considered to be trivial for spintronics and related physics. In two-dimensional (2D) materials with multiple degenerate orbitals, we find that the spin-orbit coupling can induce spin-orbital locking, generate out-of-plane Zeeman-like fields displaying opposite signs for opposing orbitals, and create novel electronic states insensitive to the in-plane magnetic field, which thus enables a new type of Ising superconductivity applicable to centrosymmetric materials. Many candidate materials are identified by high-throughput first-principles calculations. Our work enriches the physics and materials of Ising superconductivity, opening new opportunities for future research of 2D materials.
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Affiliation(s)
- Chong Wang
- Institute for Advanced Study, Tsinghua University, Beijing 100084, China
- State Key Laboratory of Low Dimensional Quantum Physics and Department of Physics, Tsinghua University, Beijing, 100084, China
- Collaborative Innovation Center of Quantum Matter, Tsinghua University, Beijing 100084, China
- RIKEN Center for Emergent Matter Science (CEMS), Wako, Saitama 351-0198, Japan
| | - Biao Lian
- Princeton Center for Theoretical Science, Princeton University, Princeton 08544, New Jersey, USA
| | - Xiaomi Guo
- State Key Laboratory of Low Dimensional Quantum Physics and Department of Physics, Tsinghua University, Beijing, 100084, China
- Collaborative Innovation Center of Quantum Matter, Tsinghua University, Beijing 100084, China
| | - Jiahao Mao
- State Key Laboratory of Low Dimensional Quantum Physics and Department of Physics, Tsinghua University, Beijing, 100084, China
- Collaborative Innovation Center of Quantum Matter, Tsinghua University, Beijing 100084, China
| | - Zetao Zhang
- State Key Laboratory of Low Dimensional Quantum Physics and Department of Physics, Tsinghua University, Beijing, 100084, China
- Collaborative Innovation Center of Quantum Matter, Tsinghua University, Beijing 100084, China
| | - Ding Zhang
- State Key Laboratory of Low Dimensional Quantum Physics and Department of Physics, Tsinghua University, Beijing, 100084, China
- Collaborative Innovation Center of Quantum Matter, Tsinghua University, Beijing 100084, China
- Beijing Academy of Quantum Information Sciences, Beijing 100193, China
| | - Bing-Lin Gu
- Institute for Advanced Study, Tsinghua University, Beijing 100084, China
- State Key Laboratory of Low Dimensional Quantum Physics and Department of Physics, Tsinghua University, Beijing, 100084, China
- Collaborative Innovation Center of Quantum Matter, Tsinghua University, Beijing 100084, China
| | - Yong Xu
- State Key Laboratory of Low Dimensional Quantum Physics and Department of Physics, Tsinghua University, Beijing, 100084, China
- Collaborative Innovation Center of Quantum Matter, Tsinghua University, Beijing 100084, China
- RIKEN Center for Emergent Matter Science (CEMS), Wako, Saitama 351-0198, Japan
| | - Wenhui Duan
- Institute for Advanced Study, Tsinghua University, Beijing 100084, China
- State Key Laboratory of Low Dimensional Quantum Physics and Department of Physics, Tsinghua University, Beijing, 100084, China
- Collaborative Innovation Center of Quantum Matter, Tsinghua University, Beijing 100084, China
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Pfau H, Chen SD, Yi M, Hashimoto M, Rotundu CR, Palmstrom JC, Chen T, Dai PC, Straquadine J, Hristov A, Birgeneau RJ, Fisher IR, Lu D, Shen ZX. Momentum Dependence of the Nematic Order Parameter in Iron-Based Superconductors. PHYSICAL REVIEW LETTERS 2019; 123:066402. [PMID: 31491189 DOI: 10.1103/physrevlett.123.066402] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/31/2019] [Indexed: 06/10/2023]
Abstract
The momentum dependence of the nematic order parameter is an important ingredient in the microscopic description of iron-based high-temperature superconductors. While recent reports on FeSe indicate that the nematic order parameter changes sign between electron and hole bands, detailed knowledge is still missing for other compounds. Combining angle-resolved photoemission spectroscopy with uniaxial strain tuning, we measure the nematic band splitting in both FeSe and BaFe_{2}As_{2} without interference from either twinning or magnetic order. We find that the nematic order parameter exhibits the same momentum dependence in both compounds with a sign change between the Brillouin center and the corner. This suggests that the same microscopic mechanism drives the nematic order in spite of the very different phase diagrams.
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Affiliation(s)
- H Pfau
- Stanford Institute of Materials and Energy Sience, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
- Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
| | - S D Chen
- Geballe Laboratory for Advanced Materials, Department of Applied Physics, Stanford University, Stanford, 94305 California, USA
| | - M Yi
- Department of Physics, University of California, Berkeley, 94720 California, USA
- Department of Physics and Astronomy, Rice University, Houston, 77005 Texas, USA
| | - M Hashimoto
- Stanford Synchrotron Radiation Lightsource, SLAC National Acelerator Laboratory, Menlo Park, 94025 California, USA
| | - C R Rotundu
- Stanford Institute of Materials and Energy Sience, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - J C Palmstrom
- Stanford Institute of Materials and Energy Sience, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
- Geballe Laboratory for Advanced Materials, Department of Applied Physics, Stanford University, Stanford, 94305 California, USA
| | - T Chen
- Department of Physics and Astronomy, Rice University, Houston, 77005 Texas, USA
| | - P-C Dai
- Department of Physics and Astronomy, Rice University, Houston, 77005 Texas, USA
| | - J Straquadine
- Geballe Laboratory for Advanced Materials, Department of Applied Physics, Stanford University, Stanford, 94305 California, USA
| | - A Hristov
- Geballe Laboratory for Advanced Materials, Department of Applied Physics, Stanford University, Stanford, 94305 California, USA
| | - R J Birgeneau
- Department of Physics, University of California, Berkeley, 94720 California, USA
| | - I R Fisher
- Stanford Institute of Materials and Energy Sience, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
- Geballe Laboratory for Advanced Materials, Department of Applied Physics, Stanford University, Stanford, 94305 California, USA
| | - D Lu
- Stanford Synchrotron Radiation Lightsource, SLAC National Acelerator Laboratory, Menlo Park, 94025 California, USA
| | - Z-X Shen
- Stanford Institute of Materials and Energy Sience, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
- Geballe Laboratory for Advanced Materials, Department of Applied Physics, Stanford University, Stanford, 94305 California, USA
- Department of Physics, Stanford University, Stanford, 94305 California, USA
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