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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 propose a realization of a quantum Hall effect (QHE) in a second-order topological insulator (SOTI) in three dimensions (3D), which is mediated by hinge states on a torus surface. It results from the nontrivial interplay of the material…

Mesoscale and Nanoscale Physics · Physics 2023-03-08 Zhe Hou , Clara S. Weber , Dante M. Kennes , Daniel Loss , Herbert Schoeller , Jelena Klinovaja , Mikhail Pletyukhov

Intrinsic anomalous Hall effect (AHE) formulated by geometric properties of Bloch wavefunctions is a ubiquitous transport phenomenon not limited to magnetic systems but also allowed in non-magnetic ones under an external field breaking…

We theoretically propose a mechanism for the anomalous Hall effect (AHE) in an antiferrromagnetic (AFM) state of $\kappa$-type organic conductors. We incorporate the spin-orbit coupling in the effective Hubbard model on the $\kappa$-type…

Strongly Correlated Electrons · Physics 2020-08-19 Makoto Naka , Satoru Hayami , Hiroaki Kusunose , Yuki Yanagi , Yukitoshi Motome , Hitoshi Seo

Recent developments in solid state physics give a prospect to observe the parity anomaly in (2+1)D massive Dirac systems. Here we show, that the quantum anomalous Hall (QAH) state in orbital magnetic fields originates from the Dirac mass…

Mesoscale and Nanoscale Physics · Physics 2019-01-23 Jan Böttcher , Ewelina M. Hankiewicz

In this paper, we study both the continuous model and the discrete model of the Quantum Hall Effect (QHE) on the hyperbolic plane. The Hall conductivity is identified as a geometric invariant associated to an imprimitivity algebra of…

dg-ga · Mathematics 2008-11-26 A. Carey , K. Hannabus , V. Mathai , P. McCann

Recent theory predicted that the Quantum Spin Hall Effect, a fundamentally novel quantum state of matter that exists at zero external magnetic field, may be realized in HgTe/(Hg,Cd)Te quantum wells. We have fabricated such sample structures…

Doping a topological insulator (TI) film with transition metal ions can break its time-reversal symmetry and lead to the realization of the quantum anomalous Hall (QAH) effect. Prior studies have shown that the longitudinal resistance of…

Mesoscale and Nanoscale Physics · Physics 2020-09-30 Shu-Wei Wang , Di Xiao , Ziwei Dou , Moda Cao , Yi-Fan Zhao , Nitin Samarth , Cui-Zu Chang , Malcolm R. Connolly , Charles G. Smith

We numerically study the three-dimensional (3D) quantum Hall effect (QHE) and magnetothermoelectric transport of Weyl semimetals in the presence of disorder. We obtain a bulk picture that the exotic 3D QHE emerges in a finite range of Fermi…

Mesoscale and Nanoscale Physics · Physics 2021-08-18 R. Ma , D. N. Sheng , L. Sheng

Ferroelectricity, anti-ferromagnetism (AFM) and quantum anomalous Hall effect (QAHE) are three fundamental phenomena in the field of condensed matter physics, which could enable the realization of novel devices and thus attracts great…

Computational Physics · Physics 2023-02-13 Yan Liang , Fulu Zheng , Thomas Frauenheim , Pei Zhao

The exploration of magnetic topological insulators is instrumental in exploring axion electrodynamics and intriguing transport phenomena, such as the quantum anomalous Hall effect. Here, we report that a family of magnetic compounds…

Materials Science · Physics 2024-11-07 Yufei Zhao , Yiyang Jiang , Hyeonhu Bae , Kamal Das , Yongkang Li , Chao-Xing Liu , Binghai Yan

The quasi-quantized Hall effect (QQHE) is the three-dimensional (3D) counterpart of the integer quantum Hall effect (QHE),exhibited only by two-dimensional (2D) electron systems. It has recently been observed in layered materials,…

Mesoscale and Nanoscale Physics · Physics 2022-02-10 Rafał Wawrzyńczak , Stanislaw Galeski , Jonathan Noky , Yan Sun , Claudia Felser , Johannes Gooth

The search for topologically non-trivial states of matter has become an important goal for condensed matter physics. Recently, a new class of topological insulators has been proposed. These topological insulators have an insulating gap in…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Markus Koenig , Hartmut Buhmann , Laurens W. Molenkamp , Taylor L. Hughes , Chao-Xing Liu , Xiao-Liang Qi , Shou-Cheng Zhang

A key step towards dissipationless transport devices is the quantum anomalous Hall effect, which is characterized by an integer quantized Hall conductance in a ferromagnetic insulator with strong spin-orbit coupling. In this work, the…

Mesoscale and Nanoscale Physics · Physics 2013-08-29 Hai-Zhou Lu , Shun-Qing Shen

The quantum anomalous Hall (QAH) effect have been experimentally observed in magnetically-doped topological insulators. However, the QAH effect only at extremely low temperatures due to the weak magnetic coupling, small band gap and low…

Materials Science · Physics 2019-09-24 Ping Li , Tian-Yi Cai

The discovery of the quantum Hall effect (QHE) in 1980 marked a turning point in condensed matter physics: given appropriate experimental conditions, the Hall conductivity {\sigma}_xy of a two-dimensional (2D) electron system is exactly…

Mesoscale and Nanoscale Physics · Physics 2023-06-13 Johannes Gooth , Stanislaw Galeski , Tobias Meng

The quantum Hall effect (QHE) is traditionally considered a purely two-dimensional (2D) phenomenon. Recently, a three-dimensional (3D) version of the QHE has been reported in the Dirac semimetal ZrTe5. It was proposed to arise from a…

The creation of topologically non-trivial matter across electronic, mechanical, cold-atom, and photonic platforms is advancing rapidly, yet understanding the breakdown of topological protection remains a major challenge. In this work, we…

Mesoscale and Nanoscale Physics · Physics 2025-03-05 George M. Ferguson , Run Xiao , Anthony R. Richardella , Austin Kaczmarek , Nitin Samarth , Katja C. Nowack

In magnetic topological insulators, a phase transition between a quantum anomalous Hall (QAH) and an Anderson localization phase can be triggered by the rotation of an applied magnetic field. Without the scattering paths along magnetic…

Mesoscale and Nanoscale Physics · Physics 2026-01-05 Kristof Moors , Gen Yin

We study the critical properties of the quantum anomalous Hall (QAH) plateau transition in magnetic topological insulators. We introduce a microscopic model for the plateau transition in QAH effect at the coercive field and then map it to…

Mesoscale and Nanoscale Physics · Physics 2014-02-11 Jing Wang , Biao Lian , Shou-Cheng Zhang