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Weyl semimetals have been theoretically predicted to become topological metals with anomalous Hall conductivity in amorphous systems. However, measuring the anomalous Hall conductivity in realistic materials, particularly those with…

介观与纳米尺度物理 · 物理学 2025-05-06 Jiong-Hao Wang , Yong Xu

Quantum Hall states are characterized by a topological invariant, the many-body Chern number, which determines their quantized Hall conductivity. This invariant also emerges in circular dichroic responses, namely, by applying a circular…

量子气体 · 物理学 2026-01-01 F. Nur Ünal , A. Nardin , N. Goldman

Quantum anomalous Hall (QAH) effect generates quantized electric charge Hall conductance without external magnetic field. It requires both nontrivial band topology and time-reversal symmetry (TRS) breaking. In most cases, one could break…

材料科学 · 物理学 2021-07-06 Haowei Xu , Jian Zhou , Ju Li

Quantum anomalous Hall effect (QAH) is induced by substitution of a certain portion, x, of Bi atoms in a BiTe-based insulating parent compound by magnetic ions (Cr or V). We find the density of in-gap states, N(E), emerging as a result of…

无序系统与神经网络 · 物理学 2016-11-09 Z. Yue , M. E. Raikh

The quantum anomalous Hall effect (QAHE) is a quantum phenomenon in which a two-dimensional system exhibits a quantized Hall resistance $h/e^2$ in the absence of magnetic field, where $h$ is the Planck constant and $e$ is the electron…

介观与纳米尺度物理 · 物理学 2026-01-13 Zhi-Qiang Zhang , Yu-Hang Li , Ming Lu , Hongfang Liu , Hailong Li , Hua Jiang , X. C. Xie

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.…

介观与纳米尺度物理 · 物理学 2015-08-12 Laurent Raymond , Alberto D. Verga , Arnaud Demion

Using the fiber bundle concept developed in geometry and topology, the fractionally quantized Hall conductivity is discussed in the relevant many--particle configuration space. Electron-magnetic field and electron-electron interactions…

凝聚态物理 · 物理学 2016-08-31 T. Asselmeyer , R. Keiper

Recent work has extended topological band theory to open, non-Hermitian Hamiltonians, yet little is understood about how non-Hermiticity alters the topological quantization of associated observables. We address this problem by studying the…

介观与纳米尺度物理 · 物理学 2018-10-31 Timothy M. Philip , Mark R. Hirsbrunner , Matthew J. Gilbert

The manifestation of the bulk quantum Hall effect on edge is the chiral anomaly. The chiral anomaly {\it is} the underlying principle of the ``edge approach'' of quantum Hall effect. In that approach, $\sxy$ should not be taken as the…

凝聚态物理 · 物理学 2009-10-28 Y. -C. Kao , D. -H. Lee

The quantum anomalous Hall effect in magnetic topological insulators has been recognized as a promising platform for applications in quantum metrology. The primary reason for this is the electronic conductance quantization at zero external…

介观与纳米尺度物理 · 物理学 2024-05-14 Kajetan M. Fijalkowski , Nan Liu , Martin Klement , Steffen Schreyeck , Karl Brunner , Charles Gould , Laurens W. Molenkamp

Topology change in quantum gravity is considered. An exact wave function of the Universe is calculated for topological Chern-Simons 2+1 dimensional gravity. This wave function occurs as the effect of a quantum anomaly which leads to the…

高能物理 - 理论 · 物理学 2009-10-19 Pawel O. Mazur

We report on the scaling behavior of V-doped (Bi,Sb)$_2$Te$_3$ samples in the quantum anomalous Hall regime for samples of various thickness. While previous quantum anomalous Hall measurements showed the same scaling as expected from a…

介观与纳米尺度物理 · 物理学 2017-08-02 S. Grauer , K. M. Fijalkowski , S. Schreyeck , M. Winnerlein , K. Brunner , R. Thomale , C. Gould , L. W. Molenkamp

The integer quantum anomalous Hall (QAH) effect is a lattice analog of the quantum Hall effect at zero magnetic field. This striking transport phenomenon occurs in electronic systems with topologically nontrivial bands and spontaneous…

In this work, we study the disorder effect on topological metals that support a pair of helical edge modes deeply embedded inside the gapless bulk states. Strikingly, we predict that a quantum spin Hall (QSH) phase can be obtained from such…

介观与纳米尺度物理 · 物理学 2020-05-14 Chui-Zhen Chen , Hua Jiang , Dong-Hui Xu , X. C. Xie

We consider the quantum Hall effect (QHE) in a system of interacting electrons. Our formalism is valid for systems in the presence of an external magnetic field, as well as for systems with a nontrivial band topology. That is, the…

介观与纳米尺度物理 · 物理学 2022-09-01 J. Miller , M. A. Zubkov

We analyze the finite size corrections to entanglement in quantum critical systems. By using conformal symmetry and density functional theory, we discuss the structure of the finite size contributions to a general measure of ground state…

量子物理 · 物理学 2009-11-13 F. C. Alcaraz , M. S. Sarandy

The intrinsic anomalous Hall conductivity (AHC) in a ferromagnetic metal is completely determined by its band structure. Since the spin orientation direction is an important band-structure tuning parameter, it is highly desirable to study…

材料科学 · 物理学 2024-08-22 Mahima Singh , Jyotirmoy Sau , Banik Rai , Arunanshu Panda , Manoranjan Kumar , Nitesh Kumar

Instability of quantum anomalous Hall (QAH) effect has been studied as function of electric current and temperature in ferromagnetic topological insulator thin films. We find that a characteristic current for the breakdown of the QAH effect…

介观与纳米尺度物理 · 物理学 2017-08-02 Minoru Kawamura , Ryutaro Yoshimi , Atsushi Tsukazaki , Kei S. Takahashi , Masashi Kawasaki , Yoshinori Tokura

The quantum anomalous Hall effect (QAHE) is a fundamental quantum transport phenomenon that manifests as a quantized transverse conductance in response to a longitudinally applied electric field in the absence of an external magnetic field,…

Over a long period of exploration, the successful observation of quantized version of anomalous Hall effect (AHE) in thin film of magnetically-doped topological insulator completed a quantum Hall trio---quantum Hall effect (QHE), quantum…

介观与纳米尺度物理 · 物理学 2015-08-18 Hongming Weng , Rui Yu , Xiao Hu , Xi Dai , Zhong Fang