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A single pair of helical edge states as realized at the boundary of a quantum spin Hall insulator is known to be robust against elastic single particle backscattering as long as time reversal symmetry is preserved. However, there is no…

介观与纳米尺度物理 · 物理学 2012-03-16 Jan Carl Budich , Fabrizio Dolcini , Patrik Recher , Björn Trauzettel

The Hopf insulator is a weak topological insulator characterized by an insulating bulk with conducting edge states protected by an integer-valued linking number invariant. The state exists in three-dimensional two-band models. We…

Robustness of helical edge states in 2D topological insulators (TI) against strong interactions remains an intriguing issue. Here, by performing the first sign-free quantum Monte Carlo (QMC) simulation of the Kane-Mele-Hubbard-Rashba model…

强关联电子 · 物理学 2017-12-13 Zi-Xiang Li , Hong Yao

We investigate the dynamics brought on by an impulse perturbation in two infinite-range quantum Ising models coupled to each other and to a dissipative bath. We show that, if dissipation is faster the higher the excitation energy, the pulse…

强关联电子 · 物理学 2022-01-12 Andrea Nava , Michele Fabrizio

The quantum anomalous Hall (QAH) effect has been recently discovered in experiment using thin-film topological insulator with ferromagnetic ordering and strong spin-orbit coupling. Here we investigate the spin degree of freedom of a QAH…

介观与纳米尺度物理 · 物理学 2014-09-30 Jiansheng Wu , Jie Liu , Xiong-Jun Liu

In this article we consider the chiral Hall effect due to topologically protected kink states formed in topological insulators at boundaries between domains with differing topological invariants. Such systems include the surfaces of three…

介观与纳米尺度物理 · 物理学 2020-04-23 M. Sedlmayr , N. Sedlmayr , J. Barnaś , V. K. Dugaev

Three-dimensional topological insulators are a class of Dirac materials, wherein strong spin-orbit coupling leads to two-dimensional surface states. The latter feature spin-momentum locking, i.e., each momentum vector is associated with a…

介观与纳米尺度物理 · 物理学 2018-02-07 Paul Seifert , Kristina Vaklinova , Sergey Ganichev , Klaus Kern , Marko Burghard , Alexander W. Holleitner

We study coherent optics in topological insulator surface states with broken time-reversal symmetry and develop a theory for the dynamical Hall effect driven by intense electromagnetic field. The influence of optical Stark effect enters as…

介观与纳米尺度物理 · 物理学 2016-09-28 Wang-Kong Tse

Symmetry-protected topological crystalline insulators (TCIs) have primarily been characterized by their gapless boundary states. However, in time-reversal- ($\mathcal{T}$-) invariant (helical) 3D TCI$\unicode{x2014}$termed higher-order TCIs…

The quantum spin Hall state is a topologically non-trivial insulator state protected by the time reversal symmetry. We show that such a state always leads to spin-charge separation in the presence of a $\pi$ flux. Our result is generally…

介观与纳米尺度物理 · 物理学 2009-11-13 Xiao-Liang Qi , Shou-Cheng Zhang

We investigate how a magnetic field induces one-dimensional edge channels when the two-dimensional surface states of three-dimensional topological insulators become gapped. The Hall effect, measured by contacting those channels, remains…

介观与纳米尺度物理 · 物理学 2013-05-30 Matthias Sitte , Achim Rosch , Ehud Altman , Lars Fritz

We develop a unified perturbative framework for energy transport along a chiral quantum Hall edge coupled to a disordered, compressible strip. Treating the strip as a generic linear response environment characterized by its retarded…

介观与纳米尺度物理 · 物理学 2025-12-02 Eugene V. Sukhorukov , Adrien Tomà

We relate explicitly the adiabatic curvature -- in flux space -- of an interacting Hall insulator with nondegenerate ground state to various linear response coefficients, in particular the Kubo response and the adiabatic response. The…

数学物理 · 物理学 2018-11-22 Sven Bachmann , Alex Bols , Wojciech De Roeck , Martin Fraas

Topological phases are often characterized by special edge states confined near the boundaries by an energy gap in the bulk. On raising temperature, these edge states are lost in a clean system due to mobile thermal excitations. Recently…

无序系统与神经网络 · 物理学 2013-10-07 Yasaman Bahri , Ronen Vosk , Ehud Altman , Ashvin Vishwanath

A quantum spin Hall insulator is a two-dimensional state of matter consisting of an insulating bulk and one-dimensional helical edge states. While these edge states are topologically protected against elastic backscattering in the presence…

介观与纳米尺度物理 · 物理学 2014-09-11 N. Kainaris , I. V. Gornyi , S. T. Carr , A. D. Mirlin

We investigate the influence of nuclear spins on the resistance of helical edge states of two-dimensional topological insulators (2DTIs). Via the hyperfine interaction, nuclear spins allow electron backscattering, otherwise forbidden by…

介观与纳米尺度物理 · 物理学 2017-08-23 Chen-Hsuan Hsu , Peter Stano , Jelena Klinovaja , Daniel Loss

When electrons are subject to a large external magnetic field, the conventional charge quantum Hall effect \cite{Klitzing,Tsui} dictates that an electronic excitation gap is generated in the sample bulk, but metallic conduction is permitted…

介观与纳米尺度物理 · 物理学 2009-10-14 D. Hsieh , D. Qian , L. Wray , Y. Xia , Y. S. Hor , R. J. Cava , M. Z. Hasan

We develop a theory of electron-photon interaction for helical edge channels in two-dimensional topological insulators based on zinc-blende-type quantum wells. It is shown that the lack of space inversion symmetry in such structures enables…

介观与纳米尺度物理 · 物理学 2019-01-15 M. V. Durnev , S. A. Tarasenko

We study theoretically the two interacting one-dimensional helical modes at the edges of the quantum spin Hall systems. A new type of inter-edge correlated liquid (IECL) without the spin gap is found. This liquid shows the diverging density…

超导电性 · 物理学 2015-05-13 Yukio Tanaka , Naoto Nagaosa

We discuss the transport properties of a quantum spin-Hall insulator with sizable Rashba spin-orbit coupling in a disk geometry. The presence of topologically protected helical edge states allows for the control and manipulation of spin…

介观与纳米尺度物理 · 物理学 2018-08-28 R. Battilomo , N. Scopigno , C. Ortix