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Conventional topological classification theory dictates that time-reversal symmetry confines the quantum spin Hall (QSH) effect to a $\mathbb{Z}_2$ classification, permitting only a single pair of gapless helical edge states. Here, we…

Mesoscale and Nanoscale Physics · Physics 2025-08-12 Zhiyu Chen , Fangyang Zhan , Zheng Qin , Da-Shuai Ma , Dong-Hui Xu , Rui Wang

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

We show that the spin Hall conductivity in insulators is related with a magnetic susceptibility representing the strength of the spin-orbit coupling. We use this relationship as a guiding principle to search real materials showing quantum…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Shuichi Murakami

Spin Hall effect (SHE) in two-dimensional (2D) materials is promising to effectively manipulate spin angular momentum and identify topological properties. In this work, we implemented an automated Wannierization with spin-orbit coupling on…

Computational Physics · Physics 2025-05-15 Jiaqi Zhou , Samuel Poncé , Jean-Christophe Charlier

Quantum spin Hall (QSH) insulators are two-dimensional electronic materials that have a bulk band gap like an ordinary insulator but have topologically protected pairs of edge modes of opposite chiralities. To date, experimental studies…

Mesoscale and Nanoscale Physics · Physics 2024-02-13 Kaifei Kang , Bowen Shen , Yichen Qiu , Kenji Watanabe , Takashi Taniguchi , Jie Shan , Kin Fai Mak

Altermagnets, which reconcile zero net magnetization with pronounced spin splitting, offer fresh opportunities for spin-based functionalities in next-generation electronic and spintronic devices. In this paper, we explore the unconventional…

Materials Science · Physics 2025-08-12 Dameul Jeong , Seoung-Hun Kang , Young-Kyun Kwon

Quantum spin Hall (QSH) effect, where electrons with opposite spin channels are deflected to opposite sides of a two-dimensional system with a quantized conductance, was believed to be characterized by a nontrivial topological index…

Materials Science · Physics 2024-10-16 Lu Liu , Yuntian Liu , Jiayu Li , Hua Wu , Qihang Liu

Quantum spin Hall (QSH) insulators are versatile platforms for exploring exotic quantum phases, especially when combined with high-order van Hove singularities (VHSs) that enhance electron correlations. However, perfect spin Hall…

Materials Science · Physics 2025-10-16 Rahul Verma , Yash Vardhan , Hsin Lin , Bahadur Singh

The phenomenon of mesoscopic Spin-Hall effect reveals in a nonequilibrium spin accumulation (driven by electric current) at the edges of a ballistic conductor or, more generally, in the regions with varying electron density. In this paper…

Mesoscale and Nanoscale Physics · Physics 2009-12-24 P. G. Silvestrov , E. G. Mishchenko

Spin-orbit coupling (SOC) is thought to be necessary in realizing quantum anomalous Hall (QAH) insulators in magnetic materials. In this Letter, we propose an exciton-condensation mechanism to realize QAH effect in collinear magnets with…

Mesoscale and Nanoscale Physics · Physics 2026-03-16 Xingxing Liu , ChaoYang Tan , Peng-Jie Guo , Zhong-Yi Lu , Zheng-Xin Liu

Topological aspects of superconductivity in quantum spin-Hall systems (QSHSs) such as thin layers of three-dimensional topological insulators (3D Tis) or two-dimensional Tis are in the focus of current research. We examine hybrid…

Mesoscale and Nanoscale Physics · Physics 2015-11-04 R. W. Reinthaler , G. Tkachov , E. M. Hankiewicz

Altermagnets, recently identified as a third class of collinear magnetic materials, have attracted significant attention in condensed matter physics. Despite this growing interest, the realization of real Chern insulators in intrinsic…

Materials Science · Physics 2025-12-19 Yong-Kun Wang , Shifeng Qian , An-Dong Fan , Si Li

Because spin-orbit coupling (SOC) is invisible in the band structure when inversion symmetry exists, whether spins are trivially degenerate or strongly coupled to momentum due to SOC is presumed to make little difference in transport…

Mesoscale and Nanoscale Physics · Physics 2024-06-06 Daniel Kaplan , Ady Stern , Binghai Yan

A two-dimensional (2D) topological insulator (TI) exhibits the quantum spin Hall (QSH) effect, in which topologically protected spin-polarized conducting channels exist at the sample edges. Experimental signatures of the QSH effect have…

Mesoscale and Nanoscale Physics · Physics 2019-03-13 Yanmeng Shi , Joshua Kahn , Ben Niu , Zaiyao Fei , Bosong Sun , Xinghan Cai , Brian A. Francisco , Di Wu , Zhi-Xun Shen , Xiaodong Xu , David H. Cobden , Yong-Tao Cui

We report a comprehensive study on the intrinsic spin Hall conductivity (SHC) of semimetals MoTe2 and WTe2 by ab initio calculation. Large SHC and desirable spin Hall angles have been discovered, due to the strong spin orbit coupling effect…

Materials Science · Physics 2019-03-06 Jiaqi Zhou , Junfeng Qiao , Arnaud Bournel , Weisheng Zhao

Recent studies on altermagnets have focused considerable attention on nonrelativistic effects that persist in the absence of spin-orbit coupling (SOC). As a result, the relative importance of various phenomena in altermagnets has commonly…

Materials Science · Physics 2026-05-22 Xukun Feng , Jin Cao , Lay Kee Ang , Shengyuan A. Yang , Cong Xiao , X. C. Xie

Unconventional features of relativistic Dirac/Weyl quasi-particles in topological materials are most evidently manifested in the 2D quantum Hall effect (QHE), whose variety is further enriched by their spin and/or valley polarization.…

We predict theoretically that, when a normal metallic thin film (without bulk spin-orbit coupling, such as Cu or Al) is sandwiched by two insulators, two prominent effects arise due to the interfacial spin-orbit coupling: a giant spin-Hall…

Mesoscale and Nanoscale Physics · Physics 2013-02-22 Xuhui Wang , Jiang Xiao , Aurelien Manchon , Sadamichi Maekawa

The spin Hall effect (SHE), which converts a charge current into a transverse spin current, has long been believed to be a phenomenon induced by the spin--orbit coupling. Here, we propose an alternative mechanism to realize the intrinsic…

Materials Science · Physics 2021-06-22 Yang Zhang , Jakub Zelezny , Yan Sun , Jeroen van den Brink , Binghai Yan

Altermagnetism is an unconventional form of antiferromagnetism characterized by momentum-dependent spin polarization of electronic states and zero net magnetization, arising from specific crystalline symmetries. In the presence of…

Materials Science · Physics 2026-02-03 Chao Chen Ye , Karma Tenzin , Jagoda Sławińska , Carmine Autieri
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