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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

The quantum spin Hall (QSH) phase is a time reversal invariant electronic state with a bulk electronic band gap that supports the transport of charge and spin in gapless edge states. We show that this phase is associated with a novel $Z_2$…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 C. L. Kane , E. J. Mele

Recently, the structural disorder-induced topological phase transitions in periodic systems have attracted much attention. However, in aperiodic systems such as quasicrystalline systems, the interplay between structural disorder and band…

Mesoscale and Nanoscale Physics · Physics 2024-08-08 Tan Peng , Yong-Chen Xiong , Chun-Bo Hua , Zheng-Rong Liu , Xiaolu Zhu , Wei Cao , Fang Lv , Yue Hou , Bin Zhou , Ziyu Wang , Rui Xiong

Two-dimensional quantum spin Hall (QSH) insulators with reasonably wide band gaps are imperative for the development of various innovative technologies. Through systematic density functional calculations and tight-binding simulations, we…

Materials Science · Physics 2018-10-12 Hui Wang , S. T. Pi , J. Kim , Z. Wang , H. H. Fu , R. Q. Wu

Quantum spin Hall insulators (QSHIs), also known as two-dimensional topological insulators, have emerged as an unconventional class of quantum states with insulating bulk and conducting edges originating from nontrivial inverted band…

Mesoscale and Nanoscale Physics · Physics 2016-11-11 Takafumi Akiho , François Couëdo , Hiroshi Irie , Kyoichi Suzuki , Koji Onomitsu , Koji Muraki

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 investigate the effect of disorder on topologically nontrivial states in a two dimension (2D) mechanical system. We first propose a quantum spin Hall (QSH) insulator based on an out-of-plane spring-mass model and analytically study the…

Applied Physics · Physics 2023-09-01 Xiaotian Shi , Rajesh Chaunsali , Georgios Theocharis , Huaqing Huang , Rui Zhu , Jinkyu Yang

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

As one of paradigmatic phenomena in condensed matter physics, the quantum anomalous Hall effect (QAHE) in stoichiometric Chern insulators has drawn great interest for years. By using model Hamiltonian analysis and first-principle…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Hongyi Sun , Bowen Xia , Zhongjia Chen , Yingjie Zhang , Pengfei Liu , Qiushi Yao , Hong Tang , Yujun Zhao , Hu Xu , Qihang Liu

A quantum spin Hall (QSH) insulator is a novel two-dimensional quantum state of matter that features quantized Hall conductance in the absence of magnetic field, resulting from topologically protected dissipationless edge states that bridge…

Quantum spin Hall (QSH) effect with great promise for the potential application in spintronics and quantum computing has attracted extensive research interest from both theoretical and experimental researchers. Here, we predict monolayer…

Materials Science · Physics 2021-03-29 Zhaopeng Guo , Dayu Yan , Haohao Sheng , Simin Nie , Youguo Shi , Zhijun Wang

We present a topological description of quantum spin Hall effect (QSHE) in a two-dimensional electron system on honeycomb lattice with both intrinsic and Rashba spin-orbit couplings. We show that the topology of the band insulator can be…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. N. Sheng , Z. Y. Weng , L. Sheng , F. D. M. Haldane

The interplay between non-Hermiticity and topology opens an exciting avenue for engineering novel topological matter with unprecedented properties. While previous studies have mainly focused on one-dimensional systems or Chern insulators,…

Mesoscale and Nanoscale Physics · Physics 2021-05-12 Junpeng Hou , Ya-Jie Wu , Chuanwei Zhang

Focusing on the recently-discovered candidate topological insulator $\alpha$-(BEDT-TSeF)$_2$I$_3$ -- having two-dimensional charge-neutral Dirac cones in a low symmetry lattice -- we combine ab-initio and extended-Hubbard model calculations…

Mesoscale and Nanoscale Physics · Physics 2022-05-24 Daigo Ohki , Kazuyoshi Yoshimi , Akito Kobayashi

Recently the Quantum Spin Hall effect (QSH) was theoretically predicted and experimentally realized in a quantum wells based on binary semiconductor HgTe[1-3]. QSH state and topological insulators are the new states of quantum matter…

Materials Science · Physics 2013-08-08 S. Chadov , X. -L. Qi , J Kübler , G. H. Fecher , C. Felser , S. -C. Zhang

A quantum spin liquid (QSL) is an exotic insulating phase with emergent gauge fields and fractionalized excitations. However, the unambiguous demonstration of the existence of a QSL in a "non-engineered" microscopic model (or in any…

Strongly Correlated Electrons · Physics 2025-10-01 Xun Cai , Zhaoyu Han , Zi-Xiang Li , Steven A. Kivelson , Hong Yao

Quantum anomalous Hall (QAH) phase is a two-dimensional bulk ferromagnetic insulator with a nonzero Chern number in presence of spin-orbit coupling (SOC) but absence of applied magnetic fields. Associated metallic chiral edge states host…

Strongly Correlated Electrons · Physics 2016-06-28 Jian Zhou , Qi-Feng Liang , Hongming Weng , Y. B. Chen , Shu-Hua Yao , Yan-Feng Chen , Jinming Dong , Guang-Yu Guo

As a topological insulator, the quantum Hall (QH) effect is indexed by the Chern and spin-Chern numbers $\mathcal{C}$ and $\mathcal{C}_{\text{spin}}$. We have only $\mathcal{C}_{\text{spin}}=0$ or $\pm \frac{1}{2}$ in conventional QH…

Mesoscale and Nanoscale Physics · Physics 2013-12-11 Motohiko Ezawa

We propose a scheme to realize time-reversal symmetry-broken quantum spin Hall insulators using bilayer honeycomb lattices, combining intrinsic spin-orbit coupling, C-type antiferromagnetic ordering, and staggered potentials. The C-type…

Mesoscale and Nanoscale Physics · Physics 2025-05-15 Lizhou Liu , Cheng-Ming Miao , Qing-Feng Sun , Ying-Tao Zhang

Based on first-principles calculations, we have found a family of 2D transition-metal (TM) chalcogenides MX5 (M = Zr, Hf and X = S, Se and Te) can host quantum spin Hall (QSH) effect. The molecular dynamics simulation indicate that they are…

Materials Science · Physics 2022-06-15 Xing Wang , Wenhui Wan , Yanfeng Ge , Kai-Cheng Zhang , Yong Liu