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With the recent discovery of the quantum anomalous Hall insulator (QAHI), which exhibits the conductive quantum Hall edge states without external magnetic field, it becomes possible to create a novel topological superconductor (SC) by…

The topological states of matters arising from the nontrivial magnetic configuration provide a better understanding of physical properties and functionalities of solid materials. Such studies benefit from the active control of spin…

Mesoscale and Nanoscale Physics · Physics 2019-04-29 Jian Liu , Sheng Meng , Jia-Tao Sun

We study the surface states and chiral hinge states of a 3D second-order topological insulator in the presence of an external magnetic gauge field. Surfaces pierced by flux host Landau levels, while surfaces parallel to the applied field…

Strongly Correlated Electrons · Physics 2021-09-03 B. A. Levitan , L. Goutte , T. Pereg-Barnea

We demonstrate advantages of samples made by mechanical stacking of exfoliated van der Waals materials for controlling the topological surface state of a 3-dimensional topological insulator (TI) via interaction with an adjacent magnet…

We study the practicability of achieving quantum anomalous Hall (QAH) effect with field-tunable Chern number in a magnetically doped, topologically trivial insulating thin film. Specifically in a candidate material,…

Mesoscale and Nanoscale Physics · Physics 2016-01-06 Le Quy Duong , Hsin Lin , Wei-Feng Tsai , Y. P. Feng

We show that the Quantum Spin Hall Effect, a state of matter with topological properties distinct from conventional insulators, can be realized in HgTe/CdTe semiconductor quantum wells. By varying the thickness of the quantum well, the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 B. Andrei Bernevig , Taylor L. Hughes , Shou-Cheng Zhang

Motivated by recent transport experiments, we theoretically study the quantum Hall effect in topological semimetal films. Owing to the confinement effect, the bulk subbands originating from the chiral Landau levels establish energy gaps…

Mesoscale and Nanoscale Physics · Physics 2021-07-13 D. -H. -Minh Nguyen , Koji Kobayashi , Jan-Erik R. Wichmann , Kentaro Nomura

In the quantum anomalous Hall (QAH) effect, chiral edge states are present in the absence of magnetic fields due to the intrinsic band topology. In this work, we predict that a synthesized two-dimensional metal-organic material, a…

Strongly Correlated Electrons · Physics 2023-06-09 Xiang-Long Yu , Tengfei Cao , Rui Wang , Ya-Min Quan , Jiansheng Wu

We study an interacting spinless quadratic band touching model that realizes a topological Mott insulating state. We quench the interaction from a value corresponding to the nematic insulator to that of the quantum anomalous Hall (QAH)…

Strongly Correlated Electrons · Physics 2025-05-22 Lara Ulčakar , Gal Lemut , Tomaž Rejec , Jernej Mravlje

The field of topological insulators (TIs) is rapidly growing. Concerning possible applications, the search for materials with an easily controllable TI phase is a key issue. The quantum spin Hall effect, characterized by a single pair of…

Mesoscale and Nanoscale Physics · Physics 2012-03-21 Paolo Michetti , Jan C. Budich , Elena G. Novik , Patrik Recher

The band inversion of topological materials in three spatial dimensions is intimately connected to the parity anomaly of two-dimensional massless Dirac fermions. At finite magnetic fields, the parity anomaly reveals itself as a non-zero…

The quantum Hall effect is usually observed in 2D systems. We show that the Fermi arcs can give rise to a distinctive 3D quantum Hall effect in topological semimetals. Because of the topological constraint, the Fermi arc at a single surface…

Mesoscale and Nanoscale Physics · Physics 2017-10-05 C. M. Wang , Hai-Peng Sun , Hai-Zhou Lu , X. C. Xie

Quantized anomalous Hall effects (QAHEs) occur in remarkable electronic states which possess not only quantized Hall signals but in some cases regions of dissipationless electron transport. The initial demonstrations of a QAHE in a…

The quantum anomalous Hall (QAH) state is a two-dimensional topological insulating state that has quantized Hall resistance of h/Ce2 and vanishing longitudinal resistance under zero magnetic field, where C is called the Chern number. The…

We investigate the effect of spatially correlated disorder on two-dimensional topological insulators and on the quantum spin Hall effect which the helical edge states in these systems give rise to. Our work expands the scope of previous…

Mesoscale and Nanoscale Physics · Physics 2013-07-15 A. Girschik , F. Libisch , S. Rotter

We study the surface of a three-dimensional spin chiral $\mathrm{Z}_2$ topological insulator (class CII), demonstrating the possibility of its localization. This arises through an interplay of interaction and statistically-symmetric…

Strongly Correlated Electrons · Physics 2019-04-17 Yang-Zhi Chou , Rahul M. Nandkishore , Leo Radzihovsky

Combining magnetism and nontrivial band topology gives rise to quantum anomalous Hall (QAH) insulators and exotic quantum phases such as the QAH effect where current flows without dissipation along quantized edge states. Inducing magnetic…

Mesoscale and Nanoscale Physics · Physics 2021-05-19 Qile Li , Chi Xuan Trang , Weikang Wu , Jinwoong Hwang , Nikhil Medhekar , Sung-Kwan Mo , Shengyuan A. Yang , Mark T Edmonds

Quantum anomalous Hall (QAH) insulators are two-dimensional (2D) insulating states exhibiting properties similar to those of quantum Hall states but without external magnetic field. They have quantized Hall conductance $\sigma^H=Ce^2/h$,…

Mesoscale and Nanoscale Physics · Physics 2014-01-29 Chen Fang , Matthew J. Gilbert , B. Andrei Bernevig

So far, experimentally realized quantum anomalous Hall (QAH) insulators all exhibit ferromagnetic order and the QAH effect only occurs at very low temperatures. On the other hand, up to now the QAH effect in antiferromagnetic (AFM)…

Materials Science · Physics 2024-03-20 Peng-Jie Guo , Zheng-Xin Liu , Zhong-Yi Lu

Physical phenomena driven by topological properties, such as the quantum Hall effect, have the appealing feature to be robust with respect to external perturbations. Lately, a new class of materials has emerged manifesting their topological…

Mesoscale and Nanoscale Physics · Physics 2011-02-17 D. Bercioux , N. Goldman , D. F. Urban