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Nontrivial properties of electronic states in topological insulators are inherent not only to the surface and boundary states, but to bound states localized at structure defects as well. We clarify how the unusual properties of the…

介观与纳米尺度物理 · 物理学 2016-09-19 Vladimir A. Sablikov , Aleksei A. Sukhanov

We study superconducting quantum interference in a Josephson junction linked via edge states in two-dimensional (2D) insulators. We consider two scenarios in which the 2D insulator is either a topological or a trivial insulator supporting…

介观与纳米尺度物理 · 物理学 2022-08-16 Tamás Haidekker Galambos , Silas Hoffman , Patrik Recher , Jelena Klinovaja , Daniel Loss

In this work, we study the disorder effect on topological metals that support a pair of helical edge modes deeply embedded inside the gapless bulk states. Strikingly, we predict that a quantum spin Hall (QSH) phase can be obtained from such…

介观与纳米尺度物理 · 物理学 2020-05-14 Chui-Zhen Chen , Hua Jiang , Dong-Hui Xu , X. C. Xie

In a three-dimensional strong topological insulator, gapless helical surface states appear everywhere on its surface. In the presence of a screw dislocation, gapless helical modes also appear in the vicinity of the corresponding dislocation…

介观与纳米尺度物理 · 物理学 2024-05-28 Tatsuro Sakaguchi , Yositake Takane

We study an interacting composite $(1+1/n)$ Abelian helical edge state made of a regular helical liquid carrying charge $e$ and a (fractionalized) helical liquid carrying charge $e/n$. A systematic framework is developed for these composite…

强关联电子 · 物理学 2024-10-10 Yang-Zhi Chou , Sankar Das Sarma

We investigate the scattering and localization properties of edge and bulk states in a disordered two-dimensional topological insulator when they coexist at the same fermi energy. Due to edge-bulk backscattering (which is not prohibited…

介观与纳米尺度物理 · 物理学 2014-08-26 Yan-Yang Zhang , Man Shen , Xing-Tao An , Qing-Feng Sun , Xin-Cheng Xie , Kai Chang , Shu-Shen Li

The indirect exchange interaction between magnetic impurities located in the bulk of a two-dimensional topological insulator decays exponentially with the distance. The indirect exchange interaction for magnetic impurities mediated by the…

介观与纳米尺度物理 · 物理学 2017-04-05 V. D. Kurilovich , P. D. Kurilovich , I. S. Burmistrov

In insulating crystals, it was previously shown that defects with two fewer dimensions than the bulk can bind topological electronic states. We here further extend the classification of topological defect states by demonstrating that the…

介观与纳米尺度物理 · 物理学 2022-10-07 Frank Schindler , Stepan S. Tsirkin , Titus Neupert , B. Andrei Bernevig , Benjamin J. Wieder

We show that that the non-equilibrium spin polarization of one dimensional helical edge states at the boundary of a two dimensional topological insulator can dynamically induce a polarization of nuclei via the hyperfine interaction. When…

介观与纳米尺度物理 · 物理学 2013-05-03 Adrian Del Maestro , Timo Hyart , Bernd Rosenow

We show that edge states similar to those known for topological insulators exist in two-dimensional electron system with one-band spectrum in the presence of heterogeneous spin-orbit interaction (SOI). These states appear at boundaries…

介观与纳米尺度物理 · 物理学 2010-11-17 Aleksei A. Sukhanov , Vladimir A. Sablikov

In non-Hermitian systems, the energy spectra and eigenstates exhibit high sensitivity to boundary conditions, lattice geometries, and local impurities. In this paper, we study the effect of long-range impurity coupling, located far from the…

无序系统与神经网络 · 物理学 2025-02-21 Xiaoming Zhao , Haiping Hu

We consider two coupled time reversal invariant helical edge modes of the same helicity, such as would occur on two stacked quantum spin Hall insulators. In the presence of interaction, the low energy physics is described by two collective…

介观与纳米尺度物理 · 物理学 2016-11-11 Raul A. Santos , D. B. Gutman , Sam T. Carr

Some popular mechanisms for restricting the diffusion of waves include introducing disorder (to provoke Anderson localization) and engineering topologically non-trivial phases (to allow for topological edge states to form). However, other…

介观与纳米尺度物理 · 物理学 2024-07-09 C. A. Downing , L. Martín-Moreno , O. I. R. Fox

Topology in condensed matter physics manifests itself in the emergence of edge or surface states protected by underlying symmetries. We review two-dimensional topological insulators whose one-dimensional edge states are characterized by…

介观与纳米尺度物理 · 物理学 2016-03-01 Giacomo Dolcetto , Maura Sassetti , Thomas L. Schmidt

We report an instability exhibited by a fluid system when coupling two distinct types of waves, both linearly damped. While none of them is unstable on its own, they amplify one another, resulting in a previously unreported convective…

软凝聚态物质 · 物理学 2025-03-05 Grégoire Le Lay , Adrian Daerr

We study the two-body problem for two-dimensional electron systems in a symmetrized Bernevig-Hughes-Zhang model which is widely used to describe topological and conventional insulators. The main result is that two interacting electrons can…

介观与纳米尺度物理 · 物理学 2023-05-02 Vladimir A. Sablikov

The electrons in the edge channels of two-dimensional topological insulators can be described as a helical Tomonaga-Luttinger liquid. They couple to nuclear spins embedded in the host materials through the hyperfine interaction, and are…

介观与纳米尺度物理 · 物理学 2018-03-30 Chen-Hsuan Hsu , Peter Stano , Jelena Klinovaja , Daniel Loss

Helical edge states appear at the surface of two dimensional topological insulators and are characterized by spin up traveling in one direction and the spin down traveling in the opposite direction. Such states are protected by time…

介观与纳米尺度物理 · 物理学 2018-10-24 Simon Wozny , Karel Vyborny , Wolfgang Belzig , Sigurdur I. Erlingsson

Theoretically, the helical edge states of two-dimensional topological insulators are protected from coherent backscattering due to nonmagnetic disorder provided electron interactions are not too strong. Experimentally, the edges typically…

介观与纳米尺度物理 · 物理学 2021-11-08 A. V. Bubis , N. N. Mikhailov , S. A. Dvoretsky , A. G. Nasibulin , E. S. Tikhonov

A detailed understanding of charged defects in two-dimensional semiconductors is needed for the development of ultrathin electronic devices. Here, we study negatively charged acceptor impurities in monolayer WS$_2$ using a combination of…