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Three dimensional topological insulator represents a class of novel quantum phases hosting robust gapless boundary excitations, which is protected by global symmetries such as time reversal, charge conservation and spin rotational symmetry.…

Mesoscale and Nanoscale Physics · Physics 2014-03-25 Yuan-Ming Lu , Dung-Hai Lee

The celebrated family of the Hall effect plays a fundamental role in modern physics. Starting from the anomalous Hall effect (AHE) and the quantum AHE (QAHE) with broken time-reversal symmetry (TRS) to their spinful generalizations,…

Mesoscale and Nanoscale Physics · Physics 2025-10-21 Ya-Jie Wu , Tong Li , Junpeng Hou

Three-dimensional (3D) topological insulators (TIs) are candidate materials for various electronic and spintronic devices due to their strong spin-orbit coupling and unique surface electronic structure. Rapid, low-cost preparation of…

The recently introduced classification of two-dimensional insulators in terms of topological crystalline invariants has been applied so far to "obstructed" atomic insulators characterized by a mismatch between the centers of the electronic…

In topological insulators, spin-orbit coupling and time-reversal symmetry combine to form a novel state of matter predicted to have exotic physical properties.

Materials Science · Physics 2010-01-12 Xiao-Liang Qi , Shou-Cheng Zhang

Topological insulators exhibit gapless edge or surface states that are topologically protected by time-reversal symmetry. However, several promising candidates for topologically insulating materials (such as Bi$_2$Se$_3$ and HgTe) contain…

Mesoscale and Nanoscale Physics · Physics 2018-07-11 Arian Vezvaee , Antonio Russo , Sophia E. Economou , Edwin Barnes

The fundamental idea of the excitonic insulator (EI) driven by electron-hole correlations in narrow-gap semiconductors or semimetals was originally proposed in the 1960s, and only theoretical studies had been advanced for a long time.…

Strongly Correlated Electrons · Physics 2024-12-25 Tatsuya Kaneko , Yukinori Ohta

Topological insulators are quantum materials that have an insulating bulk state and a topologically protected metallic surface state with spin and momentum helical locking and a Dirac-like band structure. Unique and fascinating electronic…

Optics · Physics 2018-11-21 Zengji Yue , Xiaolin Wang , Min Gu

While various excitonic insulators have been studied in the literature, due to the perceived too-small spin splitting, spin-triplet excitonic insulator is rare. In two-dimensional systems such as a graphone, however, it is possible, as…

Materials Science · Physics 2020-04-29 Zeyu Jiang , Wenkai Lou , Yu Liu , Yuanchang Li , Haifeng Song , Kai Chang , Wenhui Duan , Shengbai Zhang

Ferroelectric quantum spin Hall insulator (FEQSHI) exhibits coexisting ferroelectricity and time-reversal symmetry protected edge states, holding fascinating prospects for inviting both scientific and application advances, especially in two…

Materials Science · Physics 2023-10-05 Yan Liang , Xuening Han , Thomas Frauenheim , Fulu Zheng , Pei Zhao

Quantum spin Hall (QSH) insulators have unique electronic properties, comprising a band gap in their two-dimensional interior and one-dimensional spin-polarized edge states in which current flows ballistically. In scanning tunneling…

Axion insulators possess a quantized axion field $\theta=\pi$ protected by combined lattice and time-reversal symmetry, holding great potential for device applications in layertronics and quantum computing. Here, we propose a high-spin…

Mesoscale and Nanoscale Physics · Physics 2024-05-27 Shuai Li , Ming Gong , Yu-Hang Li , Hua Jiang , X. C. Xie

The quantum-spin-Hall (QSH) phase of 2D topological insulators has attracted increased attention since the onset of 2D materials research. While large bulk gaps with vanishing edge gaps in atomically thin layers have been reported,…

Spin-polarized conducting edge currents counterpropagate in quantum spin Hall (QSH) insulators and are protected against disorder-driven localizations by the time-reversal symmetry. Using these spin-currents for device applications require…

Mesoscale and Nanoscale Physics · Physics 2023-06-27 Rajibul Islam , Ghulam Hussain , Rahul Verma , Mohammad Sadegh Talezadehlari , Zahir Muhammad , Bahadur Singh , Carmine Autieri

Quantum spin Hall (QSH) insulator materials feature topologically protected edge states that can drastically reduce dissipation and are useful for the next-generation electronics. However, the nonvolatile control of topological edge state…

Materials Science · Physics 2020-12-30 Hua Bai , Xinwei Wang , Weikang Wu , Pimo He , Zhu'an Xu , Shengyuan A. Yang , Yunhao Lu

Motivated by experiments in which the quantum anomalous Hall (QAH) charge gap greatly exceeds the Curie temperature, we apply determinantal quantum Monte Carlo to two complementary lattice models with different geometries: the checkerboard…

Strongly Correlated Electrons · Physics 2025-07-21 Peizhi Mai

Bose-Einstein condensation of spin-polarized triplet excitons can give rise to an intriguing spin supercurrent, enabling experimental detection of exciton condensation. In this work, we predict that Ta3X8 (X=I, Br) ferromagnetic monolayers…

Materials Science · Physics 2026-03-11 Haohao Sheng , Jingyu Yao , Sheng Zhang , Quansheng Wu , Zhong Fang , Xi Dai , Hongming Weng , Zhijun Wang

Quantum spin Hall (QSH) insulators possess edge states that are topologically protected from backscattering. However, known QSH materials (e.g. HgTe/CdTe and InAs/GaSb quantum wells) exhibit very small energy gap and only work at low…

Materials Science · Physics 2016-12-07 Liujiang Zhou , Wujun Shi , Yan Sun , Bin Shao , Claudia Felser , Binghai Yan , Thomas Frauenheim

Two-dimensional quantum spin Hall (QSH) insulators are a promising material class for spintronic applications based on topologically-protected spin currents in their edges. Yet, they have not lived up to their technological potential, as…

Mesoscale and Nanoscale Physics · Physics 2022-07-19 J. Maklar , R. Stühler , M. Dendzik , T. Pincelli , S. Dong , S. Beaulieu , A. Neef , G. Li , M. Wolf , R. Ernstorfer , R. Claessen , L. Rettig

We present models of topological insulating Hamiltonians exhibiting intrinsic altermagnetic features, protected by combined three-fold or four-fold rotational symmetries with time-reversal. We demonstrate that the spin Chern number serves…

Mesoscale and Nanoscale Physics · Physics 2026-02-19 Rafael Gonzalez-Hernandez , Bernardo Uribe