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In quantum anomalous Hall (QAH) systems, the Hall conductance is quantized and the corresponding effective topological theory of the system is the Chern-Simons theory. The conductance quantum is given by the universal constant $e^2/h$ --…

Mesoscale and Nanoscale Physics · Physics 2024-05-31 Armin Ghazi , Seyed Akbar Jafari

Starting with a description of the motivation underlying the analysis presented in this paper and a brief survey of the chiral anomaly, I proceed to review some basic elements of the theory of the quantum Hall effect in 2D incompressible…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 Juerg Froehlich

The anomalous Hall effect due to the surface conduction band of 3D topological insulators with an out-of-plane magnetization is \textit{always} dominated by an intrinsic topological term of the order of the conductivity quantum. We…

Mesoscale and Nanoscale Physics · Physics 2011-06-30 Dimitrie Culcer , S. Das Sarma

Progress in magnetoelectric materials is hindered by apparently contradictory requirements for time-reversal symmetry broken and polar ferroelectric electronic structure in common ferromagnets and antiferromagnets. Alternative routes could…

By breaking the time-reversal-symmetry in three-dimensional topological insulators with introduction of spontaneous magnetization or application of magnetic field, the surface states become gapped, leading to quantum anomalous Hall effect…

Mesoscale and Nanoscale Physics · Physics 2019-06-26 R. Yoshimi , K. Yasuda , A. Tsukazaki , K. S. Takahashi , N. Nagaosa , M. Kawasaki , Y. Tokura

We investigate the possibility of observing the anomalous Hall effect (AHE) in two dimensional paramagnetic systems. We apply the semiclassical equations of motion to carriers in the conduction and valence bands of wurtzite and zincblende…

Condensed Matter · Physics 2009-11-10 Dimitrie Culcer , Allan MacDonald , Qian Niu

We present a microscopic theory of the chiral one-dimensional electron gas system localized on the sidewalls of magnetically-doped Bi$_2$Se$_3$-family topological insulator nanoribbons in the quantum anomalous Hall effect (QAHE) regime. Our…

Mesoscale and Nanoscale Physics · Physics 2016-10-05 A. Pertsova , C. M. Canali , A. H. MacDonald

The effect of carrier localization due to electron-electron interaction in anomalous Hall effect is elusive and there are contradictory results in the literature. To address the issue, we report here the detailed transport study including…

Strongly Correlated Electrons · Physics 2024-04-26 Prasanta Chowdhury , Mohamad Numan , Shuvankar Gupta , Souvik Chatterjee , Saurav Giri , Subham Majumdar

Quantum anomalous Hall (QAH) effect is a quantum Hall effect that occurs without the need of external magnetic field. A system composed of multiple parallel QAH layers is an effective high Chern number QAH insulator and the key to the…

The quantum Hall effect is usually observed when the two-dimensional electron gas is subjected to an external magnetic field, so that their quantum states form Landau levels. In this work we predict that a new phenomenon, the quantum…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Chao-Xing Liu , Xiao-Liang Qi , Xi Dai , Zhong Fang , Shou-Cheng Zhang

In a magnetic topological insulator, nontrivial band topology conspires with magnetic order to produce exotic states of matter that are best exemplified by quantum anomalous Hall (QAH) insulators and axion insulators. Up till now, such…

Materials Science · Physics 2020-03-18 Yujun Deng , Yijun Yu , Meng Zhu Shi , Jing Wang , Xian Hui Chen , Yuanbo Zhang

Here we report the investigation of the anomalous Hall effect in the magnetically doped topological insulator (V,Bi,Sb)2Te3. We find it contains two contributions of opposite sign. Both components are found to depend differently on carrier…

A static electric field generates circulating currents at the surfaces of a magnetoelectric insulator. The anomalous Hall part of the surface conductivity tensor describing such bound currents can change by multiples of $e^2/h$ depending on…

Mesoscale and Nanoscale Physics · Physics 2018-09-07 Tomáš Rauch , Thomas Olsen , David Vanderbilt , Ivo Souza

Achieving atomically flat and stoichiometric films of chiral antiferromagnets (AFM) with two-dimensional kagome spin lattice structures are crucial for integrating these materials in both established and emerging antiferromagnetic…

Materials Science · Physics 2025-03-11 Indraneel Sinha , Saurav Sachin , Shreyashi Sinha , Roumita Roy , Sudipta Kanungo , Sujit Manna

The quantum anomalous Hall (QAH) effect is predicted to possess, at zero magnetic field, chiral edge channels that conduct spin polarized current without dissipation. While edge channels have been observed in previous experimental studies…

Mesoscale and Nanoscale Physics · Physics 2015-08-20 Cui-Zu Chang , Weiwei Zhao , Duk Y. Kim , Peng Wei , J. K. Jain , Chaoxing Liu , Moses H. W. Chan , Jagadeesh S. Moodera

The fractional quantum anomalous Hall effect has recently been experimentally observed in zero-field fractional Chern insulators (FCI). However, an outstanding challenge is the presence of a substantial longitudinal resistance $R_{xx}$ (a…

We demonstrate that a distinct high-disorder anomalous Hall effect phase emerges at the correlated insulator threshold of ultra-thin, amorphous, ferromagnetic CNi3 films. In the weak localization regime, where the sheet conductance G >>…

Strongly Correlated Electrons · Physics 2010-02-26 Y. M. Xiong , P. W. Adams , G. Catelani

Topological insulator (TI) thin films with surface magnetism are expected to exhibit a quantized anomalous Hall effect (QAHE) when the magnetizations on the top and bottom surfaces are parallel, and a quantized topological magnetoelectric…

Mesoscale and Nanoscale Physics · Physics 2021-11-11 Nezhat Pournaghavi , Anna Pertsova , Allan H. MacDonald , Carlo Canali

Electrons in moir\'e flat band systems can spontaneously break time reversal symmetry, giving rise to a quantized anomalous Hall effect. Here we use a superconducting quantum interference device to image stray magnetic fields in one such…

Mesoscale and Nanoscale Physics · Physics 2021-07-07 C. L. Tschirhart , M. Serlin , H. Polshyn , A. Shragai , Z. Xia , J. Zhu , Y. Zhang , K. Watanabe , T. Taniguchi , M. E. Huber , A. F. Young

We investigate a transition between a two-dimensional topological insulator conduction state, characterized by a conductance $G=2$ (in fundamental units $e^2/h$) and a Chern insulator with $G=1$, induced by polarized magnetic impurities.…

Mesoscale and Nanoscale Physics · Physics 2015-08-12 Laurent Raymond , Alberto D. Verga , Arnaud Demion