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Quantum anomalous Hall (QAH) insulators exhibit chiral dissipationless edge states without an external magnetic field, making them a promising material for quantum metrology and microwave applications. However, the breakdown of the…

Mesoscale and Nanoscale Physics · Physics 2025-05-30 Torsten Röper , Daniel Rosenbach , Achim Rosch , Alexey A. Taskin , Yoichi Ando , Erwann Bocquillon

We study the quantum Hall effect in the surface states of topological insulator in the presence of a perpendicular magnetic field in the framework of edge states. Motion of Dirac fermions will form descrete Landau levels, among which a…

Mesoscale and Nanoscale Physics · Physics 2009-09-24 Shun-Qing Shen

Topological quantum phase transition in electron gas systems is an enthralling phenomena. This phase transition has a unique property in that it is associated with a quantum phase transition point, which separates different regions with…

Strongly Correlated Electrons · Physics 2015-06-25 S. A. Owerre

Inducing Cooper pairing in a thin ferromagnetic topological insulator in the quantum anomalous Hall state (called quantum anomalous Hall insulator, QAHI) is a promising way to realize topological superconductivity with associated chiral…

Mesoscale and Nanoscale Physics · Physics 2024-12-30 Anjana Uday , Gertjan Lippertz , Kristof Moors , Henry F. Legg , Andrea Bliesener , Lino M. C. Pereira , A. A. Taskin , Yoichi Ando

Mirror symmetric surfaces of a topological crystalline insulator host even number of Dirac surface states. A surface Zeeman field generically gaps these states leading to a quantized anomalous Hall effect. Varying the direction of Zeeman…

Mesoscale and Nanoscale Physics · Physics 2013-10-01 Fan Zhang , Xiao Li , Ji Feng , C. L. Kane , E. J. Mele

Topological insulators are exotic material that possess conducting surface states protected by the topology of the system. They can be classified in terms of their properties under discrete symmetries and are characterized by topological…

Quantum Gases · Physics 2019-05-29 M. Mochol-Grzelak , A. Dauphin , A. Celi , M. Lewenstein

In the quantum anomalous Hall effect, quantized Hall resistance and vanishing longitudinal resistivity are predicted to result from the presence of dissipationless, chiral edge states and an insulating 2D bulk, without requiring an external…

Mesoscale and Nanoscale Physics · Physics 2018-09-12 E. J. Fox , I. T. Rosen , Yanfei Yang , George R. Jones , Randolph E. Elmquist , Xufeng Kou , Lei Pan , Kang L. Wang , D. Goldhaber-Gordon

We propose a new pathway to the quantized anomalous Hall effect (QAHE) by coupling an altermagnet to a topological crystalline insulator (TCI). The former gaps the topological surface states of the TCI, thereby realizing the QAHE in a…

Mesoscale and Nanoscale Physics · Physics 2025-10-20 Xuance Jiang , Sayed Ali Akbar Ghorashi , Deyu Lu , Jennifer Cano

Recently, antiferromagnetic (AF) materials have attracted rapid attention, because they are considered as outstanding candidates to replace the widely used ferromagnets in the next generation of spintronics. We propose a magnetoresistance…

Mesoscale and Nanoscale Physics · Physics 2025-09-05 Wei-Tao Lu , Qing-Feng Sun

Chern insulators are band insulators exhibiting a nonzero Hall conductance but preserving the lattice translational symmetry. We conclusively show that a partially filled Chern insulator at 1/3 filling exhibits a fractional quantum Hall…

Strongly Correlated Electrons · Physics 2015-03-19 N. Regnault , B. Andrei Bernevig

The high-Chern number phases with a Chern number C>1 have been observed in a recent experiment that performed on the topological insulator (TI) multilayer structures, consisting of the alternating magnetic-doped and undoped TI layers. In…

Mesoscale and Nanoscale Physics · Physics 2021-07-13 Yi-Xiang Wang , Fuxiang Li

The recent experimental observation of quantum anomalous Hall (QAH) effects in the rhombohedrally stacked pentalayer graphene has motivated theoretical discussions on the possibility of quantum anomalous Hall crystal (QAHC), a topological…

Strongly Correlated Electrons · Physics 2025-06-10 Boran Zhou , Ya-Hui Zhang

We propose to use generic Chern numbers for a characterization of topological insulators. It is suitable for a numerical characterization of low dimensional quantum liquids where strong quantum fluctuations prevent from developing…

Strongly Correlated Electrons · Physics 2009-11-10 Yasuhiro Hatsugai

In recent years, correlated insulating states, unconventional superconductivity, and topologically non-trivial phases have all been observed in several moir\'e heterostructures. However, understanding of the physical mechanisms behind these…

CrSb is an attractive material for room-temperature antiferromagnetic spintronic applications because of its high N\'{e}el temperature $\sim$700 K and semi-metallic character. We study the magnetic properties of CrSb bilayers on few-layer…

Mesoscale and Nanoscale Physics · Physics 2021-07-07 Chao Lei , Hua Chen , Allan H. MacDonald

Recently, fractional quantum anomalous Hall effects have been discovered in two-dimensional moir\'{e} materials when a topologically nontrivial band with Chern number $\mathcal{C}=1$ is partially doped. Remarkably, superlattice Bloch bands…

Mesoscale and Nanoscale Physics · Physics 2025-07-30 Vo Tien Phong , Cyprian Lewandowski

Magnetically doped topological insulators have been extensively studied over the past decade as a material platform to exhibit quantum anomalous Hall effect. Most material realizations are magnetically doped and despite material advances…

Mesoscale and Nanoscale Physics · Physics 2024-01-17 Zhenisbek Tagay , Hee Taek Yi , Deepti Jain , Seongshik Oh , N. P. Armitage

The original motivation of great interest to topological insulators was the hope to observe the quantum spin Hall effect. Therefore if a material is in the topological insulator state they frequently call it the quantum spin Hall state.…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 E. B. Sonin

Quantum anomalous Hall effect, with a trademark of dissipationless chiral edge states for electronics/spintronics transport applications, can be realized in materials with large spin-orbit coupling and strong intrinsic magnetization. After…

Mesoscale and Nanoscale Physics · Physics 2021-01-05 Muhammad Nadeem , Alex R. Hamilton , Michael S. Fuhrer , Xiaolin Wang

Quantum Anomalous Hall (QAH) state in six quintuple layer Cr$_{0.1}$(Bi$_{0.2}$Sb$_{0.8}$)$_{1.9}$Te$_3$ thin films were studied through scanning tunneling spectroscopy (STS) and electrical transport measurements. While the surface state is…