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Nontrivial band topology along with magnetism leads to different novel quantum phases. When time-reversal-symmetry is broken in three-dimensional topological insulators (TIs) by applying high enough magnetic field or proximity effect,…

Mesoscale and Nanoscale Physics · Physics 2023-09-11 Nezhat Pournaghavi , Banasree Sadhukhan , Anna Delin

Magnetic topological insulators such as Cr-doped (Bi,Sb)2Te3 provide a platform for the realization of versatile time-reversal symmetry-breaking physics. By constructing heterostructures with N\'eel order in an antiferromagnetic CrSb and…

Bi$_{2}$Se$_{3}$, one of the most widely studied topological insulators (TIs), is naturally electron-doped due to n-type native defects. However, many years of efforts to achieve p-type Bi$_{2}$Se$_{3}$ thin films have failed so far. Here,…

Materials Science · Physics 2018-01-18 Jisoo Moon , Nikesh Koirala , Maryam Salehi , Wenhan Zhang , Weida Wu , Seongshik Oh

We study three dimensional generalizations of the quantum spin Hall (QSH) effect. Unlike two dimensions, where the QSH effect is distinguished by a single $Z_2$ topological invariant, in three dimensions there are 4 invariants…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Liang Fu , C. L. Kane , E. J. Mele

We study the electron transport in a magnetically doped three dimensional topological insulator (TI) by taking the effects of impurity-impurity exchange interactions into account. The interactions between magnetic impurities give rise to…

Mesoscale and Nanoscale Physics · Physics 2018-10-17 A. N. Zarezad , J. Abouie

The quantum anomalous Hall effect (QAHE) has recently been reported to emerge in magnetically-doped topological insulators. Although its general phenomenology is well established, the microscopic origin is far from being properly understood…

Magnetically doped topological insulators (TIs) exhibit two distinct phases: the quantum anomalous Hall (QAH) phase when the Fermi level resides within the surface gap, and a metallic phase outside the gap. The QAH phase hosts…

Mesoscale and Nanoscale Physics · Physics 2025-10-02 Le Yi , Emma Steinebronn , Asmaul Smitha Rashid , Nitin Samarth , Ramy El-Ganainy , Sahin L. Ozdemir , Morteza Kayyalha

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…

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

To magnetize surfaces of topological insulators without damaging their topological feature is a crucial step for the realization of the quantum anomalous Hall effect (QAHE), and still remains as a challenging task. Through density…

Mesoscale and Nanoscale Physics · Physics 2019-06-04 Yusheng Hou , Ruqian Wu

This paper reviews recent developments in quantum transport and it presents recent efforts to explore the contribution of topological insulator boundary states to thermoelectricity in Bi$_2$Te$_3$ thin films. Although Bi$_2$Te$_3$ has been…

Materials Science · Physics 2022-02-16 Prosper Ngabonziza

We report the discovery of several classes of novel topological insulators (TIs) with hybrid-order boundary states generated from the first-order TIs with additional crystalline symmetries. Unlike the current studies on hybrid-order TIs…

Mesoscale and Nanoscale Physics · Physics 2025-05-09 Yan-Qing Zhu , Zhen Zheng , Giandomenico Palumbo , Z. D. Wang

The quantum spin Hall effect has been predicted in twisted homobilayer transition metal dichalcogenides (TMDs) owing to the layer-pseudospin magnetic field. Recently, experimental observations have also confirmed such topological states of…

Mesoscale and Nanoscale Physics · Physics 2025-08-08 Hao He , Zhao Gong , Qing-Jun Tong , Dawei Zhai , Wang Yao , Xing-Tao An

The interplay between quantum interference, electron-electron interaction (EEI), and disorder is one of the central themes of condensed matter physics. Such interplay can cause high-order magnetoconductance (MC) corrections in…

Mesoscale and Nanoscale Physics · Physics 2023-05-31 Gang Shi , Fan Gao , Zhilin Li , Rencong Zhang , Igor Gornyi , Dmitri Gutman , Yongqing Li

Topological insulators embody a new state of matter characterized entirely by the topological invariants of the bulk electronic structure rather than any form of spontaneously broken symmetry. Unlike the 2D quantum Hall or quantum…

Spectroscopy of discrete Landau levels (LLs) in bulk-insulating three-dimensional topological insulators (3D TIs) in perpendicular magnetic field characterizes the Dirac nature of their surface states. Despite a number of studies…

Mesoscale and Nanoscale Physics · Physics 2020-04-13 Su Kong Chong , Ryuichi Tsuchikawa , Jared Harmer , Taylor D. Sparks , Vikram V. Deshpande

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

The Hall effect, the anomalous Hall effect and the spin Hall effect are fundamental transport processes in solids arising from the Lorentz force and the spin-orbit coupling respectively. The quantum versions of the Hall effect and the spin…

Mesoscale and Nanoscale Physics · Physics 2010-07-13 Rui Yu , Wei Zhang , H. J. Zhang , S. C. Zhang , Xi Dai , Zhong Fang

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

As an ideal platform for studying interplays between symmetry, topology and magnetism, the magnetic topological insulator (MTI) MnBi2Te4 has attracted extensive attentions. However, its strong n-type intrinsic defects hinder the…

Materials Science · Physics 2025-05-29 Zhijian Shi , Shengjie Xu , Jianfeng Wang , Yi Du , Weichang Hao