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The search for topologically non-trivial states of matter has become an important goal for condensed matter physics. Here, we give a theoretical introduction to the quantum anomalous Hall (QAH) effect based on magnetic topological…

Mesoscale and Nanoscale Physics · Physics 2016-11-22 Jing Wang , Biao Lian , Shou-Cheng Zhang

The surface of a topological insulator hosts a very special form of a quasi-two dimensional metallic system when it is embedded in a topologically trivial medium like the vacuum. The electronic properties of this unusual 2D metal are…

Mesoscale and Nanoscale Physics · Physics 2012-08-13 M. M. Vazifeh , M. Franz

Topological insulators [1-6] is a new quantum phase of matter with exotic properties such as dissipationless transport and protection against Anderson localization [7]. These new states of quantum matter could be one of the missing links…

Materials Science · Physics 2010-07-29 M. Klintenberg

The integral and fractional quantum Hall effects are among the most important discoveries in condensed matter physics in 1980s. The main results can be summarized in the conductance matrix. When the filling factor is an integer or some…

Mesoscale and Nanoscale Physics · Physics 2015-05-25 R. Tao , A. Widom

The surface states of a topological insulator in a fine-tuned magnetic field are ideal candidates for realizing a topological metal which is protected against disorder. Its signatures are (1) a conductance plateau in long wires in a finely…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Quansheng Wu , Vincent E. Sacksteder

Quantized responses are important tools for understanding and characterizing the universal features of topological phases of matter. In this work, we consider a class of topological crystalline insulators in $3$D with $C_n$ lattice rotation…

Strongly Correlated Electrons · Physics 2023-06-07 Julian May-Mann , Mark R. Hirsbrunner , Xuchen Cao , Taylor L. Hughes

We investigate tunneling across a single ferromagnetic barrier on the surface of a three-dimensional topological insulator. In the presence of a magnetization component along the bias direction, a tunneling planar Hall conductance (TPHC),…

Mesoscale and Nanoscale Physics · Physics 2016-10-18 Benedikt Scharf , Alex Matos-Abiague , Jong E. Han , Ewelina M. Hankiewicz , Igor Žutić

Negative longitudinal magnetoresistance, in the presence of an external magnetic field parallel to the direction of an applied current, has recently been experimentally verified in Weyl semimetals and topological insulators in the bulk…

Mesoscale and Nanoscale Physics · Physics 2018-10-10 S. Nandy , A. Taraphder , Sumanta Tewari

The topological magnetoelectric effect (TME) in three-dimensional topological insulators (TIs), described by $\Delta P = \frac{e^2}{2h} N_{\rm Ch}^{(2)} \Delta B$, serves as a condensed-matter realization of the four-dimensional quantum…

Mesoscale and Nanoscale Physics · Physics 2026-03-06 Yuanze Li , Renfei Wang , Yifan Zhang , Jiahao Chen , Yingdong Deng , Jin Xie , Xufeng Kou , Yang Liu , Tian Liang

We show that the magneto-electric coupling in 3D (strong) topological insulators is related to a second derivative of the bulk magnetization. The formula we derive is the non-linear response analog of the Streda formula for Hall…

Mesoscale and Nanoscale Physics · Physics 2013-01-31 Doron L. Bergman , Gil Refael

Magnetic topological materials represent a class of compounds whose properties are strongly influenced by the topology of the electronic wavefunctions coupled with the magnetic spin configuration. Such materials can support chiral…

Mesoscale and Nanoscale Physics · Physics 2022-03-08 B. Andrei Bernevig , Claudia Felser , Haim Beidenkopf

Constructing heterostructures of a topological insulator (TI) with an undoped magnetic insulator (MI) is a clean and versatile approach to break the time-reversible symmetry in the TI surface states. Despite a lot of efforts, the strength…

Applied Physics · Physics 2020-09-30 Nan Liu , Xuefan Niu , Yuxin Liu , Qinghua Zhang , Lin Gu , Jing Teng , Yongqing Li

Topological insulators are a broad class of unconventional materials that are insulating in the interior but conduct along the edges. This edge transport is topologically protected and dissipationless. Until recently, all existing…

The layer Hall effect is an intriguing phenomenon observed in magnetic topological layered materials, where the Hall response arises from the opposite deflection of electrons on top and bottom layers. To realize layer Hall effect,…

Mesoscale and Nanoscale Physics · Physics 2025-07-08 Yulei Han , Yunpeng Guo , Zeyu Li , Zhenhua Qiao

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…

The detection of topological phases of matter becomes a central issue in recent years. Conventionally, the realization of a specific topological phase in condensed matter physics relies on probing the underlying surface band dispersion or…

Quantum Physics · Physics 2020-09-02 Tao Xin , Yishan Li , Yu-ang Fan , Xuanran Zhu , Yingjie Zhang , Xinfang Nie , Jun Li , Qihang Liu , Dawei Lu

Memory is a foundational concept across disciplines, from neurobiology and electronics to artificial intelligence and quantum gravity. In materials, memory effects typically arise from ferroic orders, such as ferroelectricity and…

The anomalous Hall effect is caused by magnetic textures such as skyrmions. We derive an analytical formula of the Hall conductivity on the surface of a topological insulator up to third order in magnetization,…

Mesoscale and Nanoscale Physics · Physics 2021-04-30 Terufumi Yamaguchi , Ai Yamakage

We discuss a current dynamics on the surface of a 3-dimensional topological insulator induced by magnetization precession of a ferromagnet attached. It is found that the magnetization dynamics generates a direct charge current when the…

Strongly Correlated Electrons · Physics 2015-03-19 Hiroaki T. Ueda , Akihito Takeuchi , Gen Tatara , Takehito Yokoyama

We use magnetotransport in dual-gated magnetic topological insulator heterostructures to map out a phase diagram of the topological Hall and quantum anomalous Hall effects as a function of the chemical potential (primarily determined by the…