Journal of Quantum Optics, Volume. 27, Issue 2, 163(2021)
Edge States of Quantum Hall Effect
[1] [1] Klitzing K V, Dorda G, Pepper M. New Method for High-Accuracy Determination of the Fine-Structure Constant Based on Quantized Hall Resistance[J]. Physical Review Letters, 1980, 45(6): 494-497. DOI: 10.1103/PhysRevLett.45.494.
[2] [2] Laughlin R B. Quantized Hall conductivity in two dimensions[J]. Physical Review B, 1981, 23(10): 5632-5633. DOI: 10.1103/PhysRevB.23.5632.
[6] [6] Dalfovo F, Giorgini S, Pitaevskii L P, et al. Theory of Bose-Einstein condensation in trapped gases[J]. Reviews of Modern Physics, 1999, 71(3): 463-512. DOI: 10.1103/RevModPhys.71.463.
[7] [7] Luo Y W, Chen J S. Collective Excitations of Low Dimensional Trapped Bose-Condensed Gas[J]. Communications in Theoretical Physics, 2013, 60(6): 673-676. DOI: 10.1088/0253-6102/60/6/07.
[10] [10] Bernevig B A, Hughes T L, Zhang S. Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells[J]. Science, 2006, 314(5806): 1757-1761. DOI: 10.1126/science.1133734.
[11] [11] Albrecht S M, Higginbotham A P, Madsen M, et al. Exponential protection of zero modes in Majorana islands[J]. Nature, 2016, 531(7593): 206-209. DOI:10.1038/nature23468.
[14] [14] Balram A C. Abelian parton state for the v=4/11 fractional quantum Hall effect[J]. Physical Review B, 2021, 103(15): 155103. DOI: 10.1103/PhysRevB.103.155103.
[15] [15] Haldane F D M. Fractional Quantization of the Hall Effect: A Hierarchy of Incompressible Quantum Fluid States[J]. Physical Review Letters, 1983, 51(7): 605-608. DOI: https://doi.org/10.1103/PhysRevLett.51.605.
[16] [16] Balram A C, Wójs A. Fractional quantum Hall effect at v=2+4/9[J]. Physical Review Research, 2020, 2(3): 032035. DOI: 10.1103/PhysRevResearch.2.032035.
[17] [17] Tang F, Ren Y, Wang P, et al. Three-dimensional quantum Hall effect and metal-insulator transition in ZrTe5[J]. Nature, 2019, 569(7757): 537-541. DOI: 10.1038/s41586-019-1180-9.
[18] [18] Li H, Liu H, Jiang H, et al. 3D Quantum Hall Effect and a Global Picture of Edge States in Weyl Semimetals[J]. Physical Review Letters, 2020, 125(3): 036602. DOI: 10.1103/PhysRevLett.125.036602.
[19] [19] Qin F, Li S, Du Z Z, et al. Theory for the Charge-Density-Wave Mechanism of 3D Quantum Hall Effect[J]. Physical Review Letters, 2020, 125(20): 206601. DOI: 10.1103/PhysRevLett.125.206601.
[20] [20] Halperin B I. Quantized Hall conductance, current-carrying edge states, and the existence of extended states in a two-dimensional disordered potential[J]. Physical Review B, 1982, 25(4): 2185-2190. DOI: 10.1103/PhysRevB.25.2185.
[21] [21] Haldane F D M. Model for a Quantum Hall Effect without Landau Levels: Condensed-Matter Realization of the "Parity Anomaly"[J]. Physical Review Letters, 1988, 61(18): 2015-2018. DOI: 10.1103/PhysRevLett.61.2015.
[24] [24] Yu R, Zhang W, Zhang H J, et al. Quantized Anomalous Hall Effect in Magnetic Topological Insulators[J]. Science, 2010, 329(5987): 61. DOI: 10.1126/science.1187485.
[25] [25] Chang C Z, Zhang J, Feng X, et al. Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator[J]. Science, 2013, 340(6129): 167. DOI: 10.1126/science.1234414.
Get Citation
Copy Citation Text
LUO Yun-wen. Edge States of Quantum Hall Effect[J]. Journal of Quantum Optics, 2021, 27(2): 163
Category:
Received: Dec. 17, 2020
Accepted: --
Published Online: Sep. 13, 2021
The Author Email: LUO Yun-wen (yunwenluo@163.com)