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Le DN, Le VH, Roy P. Orbital magnetization in axially symmetric two-dimensional carbon allotrope: influence of electric field and geometry. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2020; 32:385703. [PMID: 32422609 DOI: 10.1088/1361-648x/ab940a] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/14/2020] [Accepted: 05/18/2020] [Indexed: 06/11/2023]
Abstract
In this paper, we use supersymmetry formalism to study (2 + 1) dimensional Dirac-Weyl equation describing the motion of electrons in different axially symmetric carbon allotrope surfaces under the influence of crossed electromagnetic fields. In particular, we consider three carbon allotrope with different geometrical shapes and properties: open, half-open and closed geometries. The effect of the electric field and geometry on Landau levels and orbital magnetization has been examined. It has been shown that at a critical electric field the orbital magnetization exhibits a discontinuity which is associated with the collapse of Landau levels.
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Affiliation(s)
- Dai-Nam Le
- Atomic Molecular and Optical Physics Research Group, Advanced Institute of Materials Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam
- Faculty of Applied Sciences, Ton Duc Thang University, Ho Chi Minh City, Vietnam
| | - Van-Hoang Le
- Department of Physics, Ho Chi Minh City University of Education, 280 An Duong Vuong St., Dist. 5, Ho Chi Minh City, Vietnam
| | - Pinaki Roy
- Atomic Molecular and Optical Physics Research Group, Advanced Institute of Materials Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam
- Faculty of Applied Sciences, Ton Duc Thang University, Ho Chi Minh City, Vietnam
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Le DN, Le VH, Roy P. Electric field and curvature effects on relativistic Landau levels on a pseudosphere. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2019; 31:305301. [PMID: 30990465 DOI: 10.1088/1361-648x/ab19c1] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/09/2023]
Abstract
In this paper relativistic Landau levels on a carbon pseudosphere, whose curvature is a negative constant K = -R -2, are investigated analytically in the presence of orthogonal electric and magnetic fields. It has been shown that the magnetic field tends to create bound states while the electric field tends to destroy them. Consequently there exists a critical electric field such that beyond this critical field the Landau levels collapse although negative curvature of the pseudosphere acts towards preventing the collapse of Landau levels at the critical value.
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Affiliation(s)
- Dai-Nam Le
- Atomic Molecular and Optical Physics Research Group, Advanced Institute of Materials Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam. Faculty of Applied Sciences, Ton Duc Thang University, Ho Chi Minh City, Vietnam
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Yesilyurt C, Siu ZB, Tan SG, Liang G, Yang SA, Jalil MBA. Electrically tunable valley polarization in Weyl semimetals with tilted energy dispersion. Sci Rep 2019; 9:4480. [PMID: 30872691 PMCID: PMC6418200 DOI: 10.1038/s41598-019-40947-2] [Citation(s) in RCA: 20] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/05/2018] [Accepted: 02/18/2019] [Indexed: 11/16/2022] Open
Abstract
Tunneling transport across electrical potential barriers in Weyl semimetals with tilted energy dispersion is investigated. We report that the electrons around different valleys experience opposite direction refractions at the barrier interface when the energy dispersion is tilted along one of the transverse directions. Chirality dependent refractions at the barrier interface polarize the Weyl fermions in angle-space according to their valley index. A real magnetic barrier configuration is used to select allowed transmission angles, which results in electrically controllable and switchable valley polarization. Our findings may pave the way for experimental investigation of valley polarization, as well as valleytronic and electron optic applications in Weyl semimetals.
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Affiliation(s)
- Can Yesilyurt
- Electrical and Computer Engineering, National University of Singapore, Singapore, 117576, Republic of Singapore.
| | - Zhuo Bin Siu
- Electrical and Computer Engineering, National University of Singapore, Singapore, 117576, Republic of Singapore
| | - Seng Ghee Tan
- Department of Optoelectric Physics, Chinese Culture University, Taipei, 11114, Taiwan
| | - Gengchiau Liang
- Electrical and Computer Engineering, National University of Singapore, Singapore, 117576, Republic of Singapore
| | - Shengyuan A Yang
- Research Laboratory for Quantum Materials, Singapore University of Technology and Design, Singapore, 487372, Singapore
| | - Mansoor B A Jalil
- Electrical and Computer Engineering, National University of Singapore, Singapore, 117576, Republic of Singapore.
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Mukherjee S, Di Liberto M, Öhberg P, Thomson RR, Goldman N. Experimental Observation of Aharonov-Bohm Cages in Photonic Lattices. PHYSICAL REVIEW LETTERS 2018; 121:075502. [PMID: 30169066 DOI: 10.1103/physrevlett.121.075502] [Citation(s) in RCA: 37] [Impact Index Per Article: 6.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/13/2018] [Indexed: 06/08/2023]
Abstract
We report on the experimental realization of a uniform synthetic magnetic flux and the observation of Aharonov-Bohm cages in photonic lattices. Considering a rhombic array of optical waveguides, we engineer modulation-assisted tunneling processes that effectively produce nonzero magnetic flux per plaquette. This synthetic magnetic field for light can be tuned at will by varying the phase of the modulation. In the regime where half a flux quantum is realized in each plaquette, all the energy bands dramatically collapse into nondispersive (flat) bands and all eigenstates are completely localized. We demonstrate this Aharonov-Bohm caging by studying the propagation of light in the bulk of the photonic lattice. Besides, we explore the dynamics on the edge of the lattice and discuss how the corresponding edge states can be continuously connected to the topological edge states of the Creutz ladder. Our photonic lattice constitutes an appealing platform where the interplay between engineered gauge fields, frustration, localization, and topological properties can be finely studied.
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Affiliation(s)
- Sebabrata Mukherjee
- Scottish Universities Physics Alliance (SUPA), Institute of Photonics and Quantum Sciences, School of Engineering and Physical Sciences, Heriot-Watt University, Edinburgh EH14 4AS, United Kingdom
| | - Marco Di Liberto
- Center for Nonlinear Phenomena and Complex Systems, Université Libre de Bruxelles, CP 231, Campus Plaine, B-1050 Brussels, Belgium
| | - Patrik Öhberg
- Scottish Universities Physics Alliance (SUPA), Institute of Photonics and Quantum Sciences, School of Engineering and Physical Sciences, Heriot-Watt University, Edinburgh EH14 4AS, United Kingdom
| | - Robert R Thomson
- Scottish Universities Physics Alliance (SUPA), Institute of Photonics and Quantum Sciences, School of Engineering and Physical Sciences, Heriot-Watt University, Edinburgh EH14 4AS, United Kingdom
| | - Nathan Goldman
- Center for Nonlinear Phenomena and Complex Systems, Université Libre de Bruxelles, CP 231, Campus Plaine, B-1050 Brussels, Belgium
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Yesilyurt C, Tan SG, Liang G, Jalil MBA. Klein tunneling in Weyl semimetals under the influence of magnetic field. Sci Rep 2016; 6:38862. [PMID: 27941894 PMCID: PMC5150982 DOI: 10.1038/srep38862] [Citation(s) in RCA: 44] [Impact Index Per Article: 5.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/26/2016] [Accepted: 11/15/2016] [Indexed: 11/09/2022] Open
Abstract
Klein tunneling refers to the absence of normal backscattering of electrons even under the case of high potential barriers. At the barrier interface, the perfect matching of electron and hole wavefunctions enables a unit transmission probability for normally incident electrons. It is theoretically and experimentally well understood in two-dimensional relativistic materials such as graphene. Here we investigate the Klein tunneling effect in Weyl semimetals under the influence of magnetic field induced by ferromagnetic stripes placed at barrier boundaries. Our results show that the resonance of Fermi wave vector at specific barrier lengths gives rise to perfect transmission rings, i.e., three-dimensional analogue of the so-called magic transmission angles in two-dimensional Dirac semimetals. Besides, the transmission profile can be shifted by application of magnetic field in the central region, a property which may be utilized in electro-optic applications. When the applied potential is close to the Fermi level, a particular incident vector can be selected by tuning the magnetic field, thus enabling highly selective transmission of electrons in the bulk of Weyl semimetals. Our analytical and numerical calculations obtained by considering Dirac electrons in three regions and using experimentally feasible parameters can pave the way for relativistic tunneling applications in Weyl semimetals.
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Affiliation(s)
- Can Yesilyurt
- Electrical and Computer Engineering, National University of Singapore, Singapore 117576, Republic of Singapore
| | - Seng Ghee Tan
- Electrical and Computer Engineering, National University of Singapore, Singapore 117576, Republic of Singapore
- Data Storage Institute, Agency of Science, Technology and Research (A* Star), Singapore 138634, Republic of Singapore
| | - Gengchiau Liang
- Electrical and Computer Engineering, National University of Singapore, Singapore 117576, Republic of Singapore
| | - Mansoor B. A. Jalil
- Electrical and Computer Engineering, National University of Singapore, Singapore 117576, Republic of Singapore
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Bahamon DA, Qi Z, Park HS, Pereira VM, Campbell DK. Conductance signatures of electron confinement induced by strained nanobubbles in graphene. NANOSCALE 2015; 7:15300-15309. [PMID: 26325579 DOI: 10.1039/c5nr03393d] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/04/2023]
Abstract
We investigate the impact of strained nanobubbles on the conductance characteristics of graphene nanoribbons using a combined molecular dynamics - tight-binding simulation scheme. We describe in detail how the conductance, density of states, and current density of zigzag or armchair graphene nanoribbons are modified by the presence of a nanobubble. In particular, we establish that low-energy electrons can be confined in the vicinity of or within the nanobubbles by the delicate interplay among the pseudomagnetic field pattern created by the shape of the bubble, mode mixing, and substrate interaction. The coupling between confined evanescent states and propagating modes can be enhanced under different clamping conditions, which translates into Fano resonances in the conductance traces.
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Affiliation(s)
- Dario A Bahamon
- MackGraphe - Graphene and Nano-Materials Research Center, Mackenzie Presbyterian University, Rua da Consolação 896, 01302-907, São Paulo, SP, Brazil.
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Islamoğlu S, Oktel MO, Gülseren O. The integer quantum Hall effect of a square lattice with an array of point defects. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2012; 24:345501. [PMID: 22850432 DOI: 10.1088/0953-8984/24/34/345501] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/01/2023]
Abstract
The electronic properties of a square lattice under an applied perpendicular magnetic field in the presence of impurities or vacancies are investigated by the tight-binding method including up to second nearest neighbor interactions. These imperfections result in new gaps and bands in the Hofstadter butterfly even when the second order interactions break the bipartite symmetry. In addition, the whole spectrum of the Hall conduction is obtained by the Kubo formula for the corresponding cases. The results are in accordance with the Thouless-Kohmoto-Nightingale-den Nijs integers when the Fermi energy lies in an energy gap. We find that the states due to the vacancies or impurities with small hopping constants are highly localized and do not contribute to the Hall conduction. However, the impurities with high hopping constants result in new Hall plateaus with constant conduction of σ(xy) =± e(2)/h, since high hopping constants increase the probability of an electron contributing to the conduction.
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Affiliation(s)
- S Islamoğlu
- Department of Physics, Bilkent University, 06800 Ankara, Turkey.
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9
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Geim AK. Random Walk to Graphene (Nobel Lecture). Angew Chem Int Ed Engl 2011; 50:6966-85. [DOI: 10.1002/anie.201101174] [Citation(s) in RCA: 126] [Impact Index Per Article: 9.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/17/2011] [Indexed: 11/09/2022]
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10
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Comtet A, Desbois J, Texier C. Functionals of Brownian motion, localization and metric graphs. ACTA ACUST UNITED AC 2005. [DOI: 10.1088/0305-4470/38/37/r01] [Citation(s) in RCA: 39] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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11
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Berciu M, Rappoport TG, Jankó B. Manipulating spin and charge in magnetic semiconductors using superconducting vortices. Nature 2005; 435:71-5. [PMID: 15875016 DOI: 10.1038/nature03559] [Citation(s) in RCA: 68] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/21/2004] [Accepted: 03/10/2005] [Indexed: 11/08/2022]
Abstract
The continuous need for miniaturization and increase in device speed drives the electronics industry to explore new avenues of information processing. One possibility is to use electron spin to store, manipulate and carry information. All such 'spintronics' applications are faced with formidable challenges in finding fast and efficient ways to create, transport, detect, control and manipulate spin textures and currents. Here we show how most of these operations can be performed in a relatively simple manner in a hybrid system consisting of a superconducting film and a paramagnetic diluted magnetic semiconductor (DMS) quantum well. Our proposal is based on the observation that the inhomogeneous magnetic fields of the superconducting film create local spin and charge textures in the DMS quantum well, leading to a variety of effects such as Bloch oscillations and an unusual quantum Hall effect. We exploit recent progress in manipulating magnetic flux bundles (vortices) in superconductors and show how these can create, manipulate and control the spin textures in DMSs.
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Affiliation(s)
- Mona Berciu
- Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T 1Z1, Canada
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Berciu M, Jankó B. Nanoscale zeeman localization of charge carriers in diluted magnetic semiconductor-permalloy hybrids. PHYSICAL REVIEW LETTERS 2003; 90:246804. [PMID: 12857213 DOI: 10.1103/physrevlett.90.246804] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/27/2002] [Indexed: 05/24/2023]
Abstract
We investigate the possibility of charge carrier localization in magnetic semiconductors due to the presence of a highly inhomogeneous external magnetic field. As an example, we study in detail the properties of a magnetic semiconductor-permalloy disk hybrid system. We find that the giant Zeeman response of the magnetic semiconductor in conjunction with the highly nonuniform magnetic field created by the vortex state of a permalloy disk can lead to Zeeman localized states at the interface of the two materials. These trapped states are chiral, with chirality controlled by the orientation of the core magnetization of the permalloy disk. We calculate the energy spectrum and the eigenstates of these Zeeman localized states, and discuss their experimental signatures in spectroscopic probes.
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Affiliation(s)
- Mona Berciu
- Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z1
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Majumdar A. Effects of intrinsic spin on electronic transport through magnetic barriers. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:11911-11913. [PMID: 9985028 DOI: 10.1103/physrevb.54.11911] [Citation(s) in RCA: 31] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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14
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You JQ, Zhang L. Quantum transport through periodically arranged magnetic barriers. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:1526-1528. [PMID: 9985989 DOI: 10.1103/physrevb.54.1526] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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15
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Mancoff FB, Zielinski LJ, Marcus CM, Campman K, Gossard AC. Shubnikov-de Haas oscillations in a two-dimensional electron gas in a spatially random magnetic field. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 53:R7599-R7602. [PMID: 9982276 DOI: 10.1103/physrevb.53.r7599] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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16
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Brown D, Band YB, Avishai Y. Magnetoresistance of two-dimensional mesoscopic structures: A variational approach. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 53:4855-4869. [PMID: 9984048 DOI: 10.1103/physrevb.53.4855] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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17
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Takagaki Y, Ploog K. Electronic states in quasi-one-dimensional wires with nonuniform magnetic fields. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 53:3885-3892. [PMID: 9983941 DOI: 10.1103/physrevb.53.3885] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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18
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Moroz A. Single-particle density of states, bound states, phase-shift flip, and a resonance in the presence of an Aharonov-Bohm potential. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1996; 53:669-694. [PMID: 9912939 DOI: 10.1103/physreva.53.669] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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19
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You JQ, Zhang L, Ghosh PK. Electronic transport in nanostructures consisting of magnetic barriers. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:17243-17247. [PMID: 9981153 DOI: 10.1103/physrevb.52.17243] [Citation(s) in RCA: 27] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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20
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Gumbs G, Miessein D, Huang D. Effect of magnetic modulation on Bloch electrons on a two-dimensional square lattice. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:14755-14760. [PMID: 9980813 DOI: 10.1103/physrevb.52.14755] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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21
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Foden CL, Leadbeater ML, Pepper M. Quantum magnetic confinement and transport in spherical two-dimensional electron gases. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:R8646-R8649. [PMID: 9979916 DOI: 10.1103/physrevb.52.r8646] [Citation(s) in RCA: 22] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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22
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Leadbeater ML, Foden CL, Burroughes JH, Pepper M, Burke TM, Wang LL, Grimshaw MP, Ritchie DA. Magnetotransport in a nonplanar two-dimensional electron gas. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:R8629-R8632. [PMID: 9979911 DOI: 10.1103/physrevb.52.r8629] [Citation(s) in RCA: 36] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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23
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Mancoff FB, Clarke RM, Marcus CM, Zhang SC, Campman K, Gossard AC. Magnetotransport of a two-dimensional electron gas in a spatially random magnetic field. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:13269-13273. [PMID: 9978129 DOI: 10.1103/physrevb.51.13269] [Citation(s) in RCA: 22] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Avishai Y, Bar-Touv J. Interplay between potential and magnetic disorder in a quasi-one-dimensional system. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:8069-8075. [PMID: 9977415 DOI: 10.1103/physrevb.51.8069] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
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Fal'ko VI. Conductance fluctuations in systems with random-magnetic-field scattering. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 50:17406-17410. [PMID: 9976144 DOI: 10.1103/physrevb.50.17406] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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26
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Bending SJ. Complete numerical description of nonlocal quantum diffusion in an array of magnetic-flux vortices. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 50:17621-17624. [PMID: 9976174 DOI: 10.1103/physrevb.50.17621] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Smith A, Taboryski R, Hansen LT, Sorensen CB, Hedegård P, Lindelof PE. Magnetoresistance of a two-dimensional electron gas in a random magnetic field. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 50:14726-14729. [PMID: 9975720 DOI: 10.1103/physrevb.50.14726] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Chang MC, Niu Q. Electron band structure in a two-dimensional periodic magnetic field. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 50:10843-10850. [PMID: 9975185 DOI: 10.1103/physrevb.50.10843] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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29
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Matulis A, Peeters FM, Vasilopoulos P. Wave-vector-dependent tunneling through magnetic barriers. PHYSICAL REVIEW LETTERS 1994; 72:1518-1521. [PMID: 10055629 DOI: 10.1103/physrevlett.72.1518] [Citation(s) in RCA: 22] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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30
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Geim AK, Bending SJ, Grigorieva IV, Blamire MG. Ballistic two-dimensional electrons in a random magnetic field. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:5749-5752. [PMID: 10011544 DOI: 10.1103/physrevb.49.5749] [Citation(s) in RCA: 29] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Peeters FM, Matulis A. Quantum structures created by nonhomogeneous magnetic fields. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 48:15166-15174. [PMID: 10008051 DOI: 10.1103/physrevb.48.15166] [Citation(s) in RCA: 84] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Kalmeyer V, Wei D, Arovas DP, Zhang S. Two-dimensional localization in the presence of random flux and the quantum Hall system at even-denominator filling fractions. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 48:11095-11106. [PMID: 10007416 DOI: 10.1103/physrevb.48.11095] [Citation(s) in RCA: 44] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Brawner DA, Schilling A, Ott HR, Haug RJ, Ploog K. Observation of vortex fluctuations in the cuprate superconductor Bi2Sr2CaCu2O8. PHYSICAL REVIEW LETTERS 1993; 71:785-788. [PMID: 10055366 DOI: 10.1103/physrevlett.71.785] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Lusakowski A, Turski LA. Motion of a quantum particle in a random-flux field. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 48:3835-3839. [PMID: 10008832 DOI: 10.1103/physrevb.48.3835] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Brey L, Fertig HA. Hall resistance of a two-dimensional electron gas in the presence of magnetic-flux tubes. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 47:15961-15964. [PMID: 10006001 DOI: 10.1103/physrevb.47.15961] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Schmidt GJ. Deterministic diffusion and magnetotransport in periodically modulated magnetic fields. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 47:13007-13010. [PMID: 10005513 DOI: 10.1103/physrevb.47.13007] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Avishai Y, Gredeskul SA. Dynamics of fermions in an accessible flux tube. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 47:6395-6398. [PMID: 10004604 DOI: 10.1103/physrevb.47.6395] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Stoddart ST, Mutlu HI, Geim AK, Bending SJ. Microscopic investigation of the flux dynamics of type-II superconducting films. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 47:5146-5150. [PMID: 10006679 DOI: 10.1103/physrevb.47.5146] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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39
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Bending SJ, Geim AK. Quantitative numerical model for nonlocal quantum diffusion in a distribution of magnetic-flux tubes. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 46:14912-14914. [PMID: 10003598 DOI: 10.1103/physrevb.46.14912] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Geim AK, Bending SJ, Grigorieva IV. Asymmetric scattering and diffraction of two-dimensional electrons at quantized tubes of magnetic flux. PHYSICAL REVIEW LETTERS 1992; 69:2252-2255. [PMID: 10046437 DOI: 10.1103/physrevlett.69.2252] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Bending SJ, Klitzing K, Ploog K. Two-dimensional electron gas as a flux detector for a type-II superconducting film. PHYSICAL REVIEW. B, CONDENSED MATTER 1990; 42:9859-9864. [PMID: 9995238 DOI: 10.1103/physrevb.42.9859] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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