Progress and prospects in the quantum anomalous Hall effect
Source abstract
Abstract
The quantum anomalous Hall effect refers to the quantization of the Hall effect in the absence of an applied magnetic field. The quantum anomalous Hall effect is of topological nature and well suited for field-free resistance metrology and low-power information processing utilizing dissipationless chiral edge transport. In this Perspective, we provide an overview of the recent achievements as well as the material challenges and opportunities, pertaining to engineering intrinsic/interfacial magnetic coupling, that are expected to propel future development in this field.
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Research context
OpenAlex topics: Topological Materials and Phenomena · Quantum and electron transport phenomena · Graphene research and applications
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Francis Bitter Magnet Laboratory, Plasma Science and Fusion Center, Massachusetts Institute of Technology 1 , Cambridge, Massachusetts 02139, USA
U.S. Army CCDC Army Research Laboratory 2 , Adelphi, Maryland 20783, USA
Department of Physics, Massachusetts Institute of Technology 3 , Cambridge, Massachusetts 02139, USA
Funding
Army Research Office · National Science Foundation · Office of Naval Research
References (100+)
Show source-provided references
1. Quantum anomalous Hall effect10.1093/nsr/nwt029 ↗
2. Quantum anomalous Hall effect and related topological electronic states10.1080/00018732.2015.1068524 ↗
3. Magnetic topological insulators and quantum anomalous Hall effect10.1016/j.ssc.2014.10.022 ↗
4. Quantum anomalous Hall effect in magnetic topological insulators10.1088/0031-8949/2015/T164/014003 ↗
5. The quantum anomalous Hall effect: Theory and experiment10.1146/annurev-conmatphys-031115-011417 ↗
6. Quantum anomalous Hall effect in time-reversal-symmetry breaking topological insulators10.1088/0953-8984/28/12/123002 ↗
7. Topological materials: Quantum anomalous Hall system10.1146/annurev-conmatphys-033117-054144 ↗
8. Magnetic topological insulators10.1038/s42254-018-0011-5 ↗
9. Review of quantum Hall trio10.1016/j.jpcs.2017.10.016 ↗
10. Quantum anomalous Hall effect in magnetic doped topological insulators and ferromagnetic spin-gapless semiconductors—A perspective review10.1002/smll.201904322 ↗
11. C.-Z. Chang , C.-X.Liu, and A. H.MacDonald, “Colloquium: Quantum anomalous Hall effect,” arXiv:2202.13902 (2022).10.1103/RevModPhys.95.011002 ↗
12. 40 years of the quantum Hall effect10.1038/s42254-020-0209-1 ↗
13. On a new action of the magnet on electric currents10.2307/2369245 ↗
14. Nonlinear Hall effects10.1038/s42254-021-00359-6 ↗
15. On the new action of magnetism on a permanent electric current10.2475/ajs.s3-20.117.161 ↗
16. Anomalous Hall effect10.1103/RevModPhys.82.1539 ↗
17. New method for high-accuracy determination of the fine-structure constant based on quantized Hall resistance10.1103/PhysRevLett.45.494 ↗
18. Two-dimensional magnetotransport in the extreme quantum limit10.1103/PhysRevLett.48.1559 ↗
19. Anomalous quantum Hall effect: An incompressible quantum fluid with fractionally charged excitations10.1103/PhysRevLett.50.1395 ↗
20. Quantal phase factors accompanying adiabatic changes10.1098/rspa.1984.0023 ↗
21. Quantized Hall conductance in a two-dimensional periodic potential10.1103/PhysRevLett.49.405 ↗
22. Model for a quantum Hall effect without Landau levels: Condensed-matter realization of the ‘parity anomaly10.1103/PhysRevLett.61.2015 ↗
23. Quantized anomalous Hall effect in two-dimensional ferromagnets: Quantum Hall effect in metals10.1103/PhysRevLett.90.206601 ↗
24. Hall effect in ferromagnetics10.1103/PhysRev.95.1154 ↗
25. Anomalous Hall effect in ferromagnetic semiconductors10.1103/PhysRevLett.88.207208 ↗
26. The anomalous Hall effect and magnetic monopoles in momentum space10.1126/science.1089408 ↗
27. Berry curvature on the fermi surface: Anomalous Hall effect as a topological fermi-liquid property10.1103/PhysRevLett.93.206602 ↗
28. First principles calculation of anomalous Hall conductivity in ferromagnetic bcc Fe10.1103/PhysRevLett.92.037204 ↗
29. Berry phase effects on electronic properties10.1103/RevModPhys.82.1959 ↗
30. Colloquium: Topological insulators10.1103/RevModPhys.82.3045 ↗
31. Topological insulators and superconductors10.1103/RevModPhys.83.1057 ↗
32. The quantum spin Hall effect10.1146/annurev-conmatphys-062910-140538 ↗
33. Quantum spin Hall effect in graphene10.1103/PhysRevLett.95.226801 ↗
34. Quantum spin Hall effect10.1103/PhysRevLett.96.106802 ↗
35. Quantum spin Hall effect and topological phase transition in HgTe quantum wells10.1126/science.1133734 ↗
36. Quantum spin Hall insulator state in HgTe quantum wells10.1126/science.1148047 ↗
37. Nonlocal transport in the quantum spin Hall state10.1126/science.1174736 ↗
38. Quantum spin Hall effect in inverted type-II semiconductors10.1103/PhysRevLett.100.236601 ↗
39. Evidence for helical edge modes in inverted InAs/GaSb quantum wells10.1103/PhysRevLett.107.136603 ↗
40. Topological insulators in three dimensions10.1103/PhysRevLett.98.106803 ↗
41. Topological insulators in Bi2Se3, Bi2Te3, and Sb2Te3 with a single Dirac cone on the surface10.1038/nphys1270 ↗
42. Observation of a large-gap topological-insulator class with a single Dirac cone on the surface10.1038/nphys1274 ↗
43. Experimental realization of a three-dimensional topological insulator, Bi2Te310.1126/science.1173034 ↗
44. A tunable topological insulator in the spin helical Dirac transport regime10.1038/nature08234 ↗
45. Quantum anomalous Hall effect in Hg1−yMnyTe quantum wells10.1103/PhysRevLett.101.146802 ↗
46. A. Budewitz , K.Bendias, P.Leubner, T.Khouri, S.Shamim, S.Wiedmann, H.Buhmann, and L. W.Molenkamp, “Quantum anomalous Hall effect in Mn doped HgTe quantum wells,” arXiv:1706.05789 (2017).
47. Topological field theory of time-reversal invariant insulators10.1103/PhysRevB.78.195424 ↗
48. Quantized anomalous Hall effect in magnetic topological insulators10.1126/science.1187485 ↗
49. Surface-quantized anomalous Hall current and the magnetoelectric effect in magnetically disordered topological insulators10.1103/PhysRevLett.106.166802 ↗
50. Experimental observation of the quantum anomalous Hall effect in a magnetic topological insulator10.1126/science.1234414 ↗
51. Trajectory of the anomalous Hall effect towards the quantized state in a ferromagnetic topological insulator10.1038/nphys3053 ↗
52. Scale-invariant quantum anomalous Hall effect in magnetic topological insulators beyond the two-dimensional limit10.1103/PhysRevLett.113.137201 ↗
53. Precise quantization of the anomalous Hall effect near zero magnetic field10.1103/PhysRevLett.114.187201 ↗
54. Giant anisotropic magnetoresistance in a quantum anomalous Hall insulator10.1038/ncomms8434 ↗
55. Observation of the zero Hall plateau in a quantum anomalous Hall insulator10.1103/PhysRevLett.115.126801 ↗
56. High-precision realization of robust quantum anomalous Hall state in a hard ferromagnetic topological insulator10.1038/nmat4204 ↗
57. Terahertz spectroscopy on Faraday and Kerr rotations in a quantum anomalous Hall state10.1038/ncomms12245 ↗
58. Large discrete jumps observed in the transition between Chern states in a ferromagnetic topological insulator10.1126/sciadv.1600167 ↗
59. Scaling of the quantum anomalous Hall effect as an indicator of axion electrodynamics10.1103/PhysRevLett.118.246801 ↗
60. Concurrence of quantum anomalous Hall and topological Hall effects in magnetic topological insulator sandwich heterostructures10.1038/s41563-020-0605-z ↗
61. Demonstration of dissipative quasihelical edge transport in quantum anomalous Hall insulators10.1103/PhysRevLett.125.126801 ↗
62. Quantum anomalous Hall effect in intrinsic magnetic topological insulator MnBi2Te410.1126/science.aax8156 ↗
63. Intrinsic quantized anomalous Hall effect in a moiré heterostructure10.1126/science.aay5533 ↗
64. Quantum anomalous Hall effect from intertwined moiré bands10.1038/s41586-021-04171-1 ↗
65. Chapter 3: Growth and transport properties of tetradymite thin films10.1201/9781315197029-4 ↗
66. Tetradymites as thermoelectrics and topological insulators10.1038/natrevmats.2017.49 ↗
67. A comprehensive review on Bi2Te3-based thin films: Thermoelectrics and beyond10.1002/idm2.12009 ↗
68. Electrical and optical properties of some M2V-B N3VI-B semiconductors10.1016/0022-3697(57)90090-2 ↗
69. Burstein shift of the absorption edge of n-Bi2Se310.1002/pssb.2220630116 ↗
70. Evidence for a direct band gap in the topological insulator Bi2Se3 from theory and experiment10.1103/PhysRevB.87.121111 ↗
71. The optical properties of p-type Bi2Te3–Sb2Te3 alloys between 2–15 microns10.1016/0022-3697(62)90169-5 ↗
72. Electronic properties of antimony chalcogenides10.1103/PhysRevLett.59.2471 ↗
73. The optical properties of bismuth telluride10.1088/0370-1328/72/4/309 ↗
74. Effect of pressure on the energy gap of Bi2Te310.1063/1.1728426 ↗
75. Electrical and thermal properties of Bi2Te310.1103/PhysRev.108.1164 ↗
76. Thermoelectric properties of bismuth antimony telluride solid solutions
77. Magnetic and transport properties of the V2–VI3 diluted magnetic semiconductor Sb2−x Mnx Te310.1063/1.1626803 ↗
78. Development of ferromagnetism in the doped topological insulator Bi2−xMnxTe310.1103/PhysRevB.81.195203 ↗
79. A low-temperature study of manganese-induced ferromagnetism and valence band convergence in tin telluride10.1063/1.4948523 ↗
80. Diluted magnetic semiconductors based on Sb2−xVxTe3 (0.01 ≤ x ≤ 0.03)10.1103/PhysRevB.65.115212 ↗
81. Low-temperature ferromagnetic properties of the diluted magnetic semiconductor Sb2−xCrxTe310.1103/PhysRevB.71.115214 ↗
82. Thin-film ferromagnetic semiconductors based on Sb2−xVxTe3 with TC of 177 K10.1063/1.2045561 ↗
83. Thin film dilute ferromagnetic semiconductors Sb2−xCrxTe3 with a Curie temperature up to 190 K10.1103/PhysRevB.74.224418 ↗
84. Magnetic nanostructures10.1080/000187398243519 ↗
85. Quantum oscillations in ferromagnetic (Sb, V)2Te3 topological insulator thin films10.1002/adma.202102107 ↗
86. Ferromagnetism in thin-film Cr-doped topological insulator Bi2Se310.1063/1.3688043 ↗
87. Spectroscopic perspective on the interplay between electronic and magnetic properties of magnetically doped topological insulators10.1103/PhysRevB.96.184402 ↗
88. Four-terminal phase-coherent conductance10.1103/PhysRevLett.57.1761 ↗
89. Absence of backscattering in the quantum Hall effect in multiprobe conductors10.1103/PhysRevB.38.9375 ↗
90. Zero-field dissipationless chiral edge transport and the nature of dissipation in the quantum anomalous Hall state10.1103/PhysRevLett.115.057206 ↗
91. Quantized chiral edge conduction on domain walls of a magnetic topological insulator10.1126/science.aan5991 ↗
92. Chiral transport along magnetic domain walls in the quantum anomalous Hall effect10.1038/s41535-017-0073-0 ↗
93. Metal-to-insulator switching in quantum anomalous Hall states10.1038/ncomms9474 ↗
94. Observation of the quantum anomalous Hall insulator to Anderson insulator quantum phase transition and its scaling behavior10.1103/PhysRevLett.117.126802 ↗
95. Topological quantum phase transition in magnetic topological insulator upon magnetization rotation10.1103/PhysRevB.98.140404 ↗
96. Distinct quantum anomalous Hall ground states induced by magnetic disorders10.1103/PhysRevX.10.041063 ↗
97. Scaling behavior of the quantum phase transition from a quantum-anomalous-Hall insulator to an axion insulator10.1038/s41467-020-18312-z ↗
98. Precision measurement of the quantized anomalous Hall resistance at zero magnetic field10.1063/1.5009718 ↗
99. Part-per-million quantization and current-induced breakdown of the quantum anomalous Hall effect10.1103/PhysRevB.98.075145 ↗
100. Precise resistance measurement of quantum anomalous Hall effect in magnetic heterostructure film of topological insulator10.1063/1.5145172 ↗