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Time-reversal symmetry breaking is the basic physics concept underpinning many magnetic topological phenomena such as the anomalous Hall effect (AHE) and its quantized variant. The AHE has been primarily accompanied by a ferromagnetic…

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

We demonstrate via exact diagonalization that AA-stacked TMD homobilayers host fractional quantum anomalous Hall (FQAH) states with fractionally quantized Hall conductance at fractional fillings $n=\frac{1}{3},\, \frac{2}{3}$ and zero…

Mesoscale and Nanoscale Physics · Physics 2023-08-24 Aidan P. Reddy , Faisal F. Alsallom , Yang Zhang , Trithep Devakul , Liang Fu

In a topological insulator (TI) the character of electron transport varies from insulating in the interior of the material to metallic near its surface. Unlike, however, ordinary metals, conducting surface states in TIs are topologically…

Mesoscale and Nanoscale Physics · Physics 2013-02-08 G. Tkachov , E. M. Hankiewicz

A novel topological insulator with tunable edge states, called quantum spin-quantum anomalous Hall (QSQAH) insulator, is predicted in a heterostructure of a hydrogenated Sb (SbH) monolayer on a LaFeO3 substrate by using ab initio methods.…

Materials Science · Physics 2018-01-10 Tong Zhou , Jiayong Zhang , Yang Xue , Bao Zhao , Huisheng Zhang , Hua Jiang , Zhongqin Yang

Abstract We theoretically study the realization of quantum anomalous Hall insulator (QAHI) of composite fermions (CFs) in the twisted bilayer graphene (TBG) system. We show that the moir\'e pattern in TBG is not only able to provide a…

Mesoscale and Nanoscale Physics · Physics 2022-12-27 Guangyue Ji , Junren Shi

We study the quantum topological properties of Floquet (time-periodic) systems exhibiting Hall effects due to perpendicular magnetic and electric fields. The systems are charged particles periodically kicked by a one-dimensional cosine…

Mesoscale and Nanoscale Physics · Physics 2019-09-24 Itzhack Dana , Kazuhiro Kubo

We study coherent optics in topological insulator surface states with broken time-reversal symmetry and develop a theory for the dynamical Hall effect driven by intense electromagnetic field. The influence of optical Stark effect enters as…

Mesoscale and Nanoscale Physics · Physics 2016-09-28 Wang-Kong Tse

The realization of fractional Chern insulators in moir\'e materials has sparked the search for further novel phases of matter in this platform. In particular, recent works have demonstrated the possibility of realizing quantum anomalous…

Mesoscale and Nanoscale Physics · Physics 2025-07-29 Raul Perea-Causin , Hui Liu , Emil J. Bergholtz

The fractional quantum Hall effect (FQHE) occurs at certain magnetic field strengths B*(n) in a two-dimensional electron gas of density n at strong magnetic fields perpendicular to the plane of the electron gas. At these magnetic fields…

Condensed Matter · Physics 2007-05-23 O. Heinonen , M. I. Lubin , M. D. Johnson

We study the quantum anomalous thermal Hall effect in a topological superconductor which possesses an integer bulk topological number, and supports Majorana excitations on the surface. To realize the quantum thermal Hall effect, a finite…

Mesoscale and Nanoscale Physics · Physics 2015-06-01 Yosuke Shimizu , Ai Yamakage , Kentaro Nomura

The field of topological insulators (TI) was sparked by the prediction of the quantum spin Hall effect (QSHE) in time reversal invariant systems, such as spin-orbit coupled monolayer graphene. Ever since, a variety of monolayer crystals…

Mesoscale and Nanoscale Physics · Physics 2018-01-19 Sanfeng Wu , Valla Fatemi , Quinn D. Gibson , Kenji Watanabe , Takashi Taniguchi , Robert J. Cava , Pablo Jarillo-Herrero

The anomalous Floquet Anderson insulator (AFAI) is a two dimensional periodically driven system in which static disorder stabilizes two topologically distinct phases in the thermodynamic limit. The presence of a unit-conducting chiral edge…

Mesoscale and Nanoscale Physics · Physics 2020-04-03 Kun Woo Kim , Dmitry Bagrets , Tobias Micklitz , Alexander Altland

The quantum anomalous Hall (QAH) effect is a quintessential consequence of non-zero Berry curvature in momentum-space. The QAH insulator harbors dissipation-free chiral edge states in the absence of an external magnetic field. On the other…

The quantum Hall conductivity in the presence of constant magnetic field may be represented as the topological TKNN invariant. Recently the generalization of this expression has been proposed for the non - uniform magnetic field. \rev{The…

Mesoscale and Nanoscale Physics · Physics 2019-10-23 C. X. Zhang , M. A. Zubkov

Anomalous Hall effect (AHE), a protocol of various low-power dissipation quantum phenomena and a fundamental precursor of intriguing topological phases of matter, is usually observed in ferromagnetic materials with orthogonal configuration…

Mesoscale and Nanoscale Physics · Physics 2023-04-27 Jin Cao , Wei Jiang , Xiao-Ping Li , Daifeng Tu , Jiadong Zhou , Jianhui Zhou , Yugui Yao

Recently, in topological insulators (TIs) the phenomenon of planar Hall effect (PHE) wherein a current driven in presence an in-plane magnetic field generates a transverse voltage has been experimentally witnessed. There have been a couple…

Mesoscale and Nanoscale Physics · Physics 2021-06-30 Dhavala Suri , Abhiram Soori

We report the observation of fractional quantum Hall (FQH) effects in a two-dimensional electron gas (2DEG) confined to an InAs/AlGaSb quantum well, using a dual-gated Hall-bar device allowing for the independent control of the vertical…

Mesoscale and Nanoscale Physics · Physics 2022-02-17 S. Komatsu , H. Irie , T. Akiho , T. Nojima , T. Akazaki , K. Muraki

While the ground state phase diagram of the correlated flat-band systems have been intensively investigated, the dynamic and thermodynamic properties of such lattice models are less explored, but it is the latter which is most relevant to…

Strongly Correlated Electrons · Physics 2023-01-05 Gaopei Pan , Hongyu Lu , Heqiu Li , Xu Zhang , Bin-Bin Chen , Kai Sun , Zi Yang Meng

The realization of long range and insulating ferromagnetic states in topological insulator (TI) has been a pressing issue since its discovery. Only recently, such state was achieved in Cr-doped Bi2-xSbxTe3, leading to the discovery of…

Materials Science · Physics 2016-08-31 Bei Deng , Yiou Zhang , S. B. Zhang , Yayu Wang , Ke He , Junyi Zhu