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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 topological Hall effect (THE), as one of the primary manifestations of non-trivial topology of chiral skyrmions, is traditionally used to detect the emergence of skyrmion lattices with locally ferromagnetic order. In this work we…

Materials Science · Physics 2017-05-18 Patrick M. Buhl , Frank Freimuth , Stefan Blügel , Yuriy Mokrousov

Silicene have been proposed to host multiple topological phases depending on the environmental parameters such as gated voltage and proximity induced exchange field. Two typical topological phase are quantum spin Hall phase and quantum…

Mesoscale and Nanoscale Physics · Physics 2019-12-06 Ma Luo

Field theory arguments suggest the possibility of $\mathbb{Z}$-classification of quantum spin Hall effect with magnetic flux tubes, that cause separation of spin and charge degrees of freedom, and pumping of spin or Kramers pair. However,…

Mesoscale and Nanoscale Physics · Physics 2022-09-28 Alexander C. Tyner , Pallab Goswami

Topologically protected surface modes of classical waves hold the promise to enable a variety of applications ranging from robust transport of energy to reliable information processing networks. The integer quantum Hall effect has delivered…

Mesoscale and Nanoscale Physics · Physics 2020-08-25 Weiyin Deng , Xueqin Huang , Jiuyang Lu , Valerio Peri , Feng Li , Sebastian D. Huber , Zhengyou Liu

The original motivation of great interest to topological insulators was the hope to observe the quantum spin Hall effect. Therefore if a material is in the topological insulator state they frequently call it the quantum spin Hall state.…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 E. B. Sonin

Recent experiments on pentalayer rhombohedral graphene moir\'e superlattices have observed the quantum anomalous Hall effect at moir\'e filling factor of $\nu = 1$ and various fractional values. These phenomena are attributed to a flat…

Strongly Correlated Electrons · Physics 2024-12-30 Koji Kudo , Ryota Nakai , Kentaro Nomura

The quantum spin Hall effect has been observed in topological insulators using spin-orbit coupling as the probe, but it has not yet been observed in a metal. An experiment is proposed to measure the quantum spin Hall effect of an electron…

Mesoscale and Nanoscale Physics · Physics 2022-10-21 Aiying Zhao , Qiang Gu , Timothy J. Haugan , Thomas J. Bullard , Richard A. Klemm

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

The search of new topological insulators that demonstrate the quantum anomalous Hall effect (QAHE) is a cutting-edge research topic in condensed matter physics and materials science. So far, the QAHE has been observed only in Cr-doped…

Materials Science · Physics 2015-03-13 Jun Hu , Zhenyue Zhu , Ruqian Wu

The discovery of topological states of matter has profoundly augmented our understanding of phase transitions in physical systems. Instead of local order parameters, topological phases are described by global topological invariants and are…

Recent years have witnessed great interest in the quantum spin Hall effect (QSHE) which is a new quantum state of matter with nontrivial topological property due to the scientific importance as a novel quantum state and the technological…

Materials Science · Physics 2012-02-08 Cheng-Cheng Liu , Wanxiang Feng , Yugui Yao

The energy spectra of transition metal dichalcogenides are primarily influenced by the and orbitals. This results in a three-band model characterized by strong spin-orbit interaction. Investigating these bands using a projection into a…

Mesoscale and Nanoscale Physics · Physics 2023-11-22 Phusit Nualpijit , Kitakorn Jatiyanon , Bumned Soodchomshom

Helical trilayer graphene realizes a versatile moir\'e system for exploring correlated topological states emerging from high Chern bands. Motivated by recent experimental observations of anomalous Hall effects at fractional fillings of…

Strongly Correlated Electrons · Physics 2025-10-02 Sen Niu , Jason Alicea , D. N. Sheng , Yang Peng

Quantum Hall systems are characterized by the quantization of the Hall conductance -- a bulk property rooted in the topological structure of the underlying quantum states. In condensed matter devices, material imperfections hinder a direct…

Planar Topological Hall effect (PTHE) is known to arise from in-plane skyrmion tubes with an external magnetic field applied in the plane of the charge current. Here, we propose that the PTHE can robustly appear also from an unexpected…

Strongly Correlated Electrons · Physics 2020-09-02 Narayan Mohanta , Satoshi Okamoto , Elbio Dagotto

When a magnon passes through two-dimensional magnetic textures, it will experience a fictitious magnetic field originating from the $3\times 3$ skew-symmetric gauge fields. To date, only one of the three independent components of the gauge…

Mesoscale and Nanoscale Physics · Physics 2023-01-10 Zhejunyu Jin , Xianglong Yao , Zhenyu Wang , H. Y. Yuan , Zhaozhuo Zeng , Yunshan Cao , Peng Yan

We study the electronic structures and topological properties of $(M+N)$-layer twisted graphene systems. We consider the generic situation that $N$-layer graphene is placed on top of the other $M$-layer graphene, and is twisted with respect…

Mesoscale and Nanoscale Physics · Physics 2019-08-14 Jianpeng Liu , Zhen Ma , Jinhua Gao , Xi Dai

The realization of the quantum spin Hall effect in HgTe quantum wells has led to the development of topological materials which, in combination with magnetism and superconductivity, are predicted to host chiral Majorana fermions. However,…

In the field of topological insulators, the topological properties of quantum states in samples with simple geometries, such as a cylinder or a ribbon, have been classified and understood during the last decade. Here, we extend these…

Mesoscale and Nanoscale Physics · Physics 2014-06-12 W. Beugeling , A. Quelle , C. Morais Smith
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