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Gapless edge states are the hallmark of a large class of topological states of matter. Recently, intensive research has been devoted to understanding the physical properties of the edge states at the quantum phase transitions of the bulk…

强关联电子 · 物理学 2022-12-14 Yining Xu , Chen Peng , Zijian Xiong , Long Zhang

In the two-dimensional case the transition between ordinary and topological insulator states can be described by a massive Dirac model with the mass term changing its sign at the transition point. We theoretically investigate how such a…

介观与纳米尺度物理 · 物理学 2015-03-17 G. Tkachov , E. M. Hankiewicz

The topological insulators have a gap in the bulk but extended states at the edge that can carry current. We study a geometry in which such edge states will manifest themselves through periodic oscillations in the magnetoconductance of a…

介观与纳米尺度物理 · 物理学 2009-09-19 Rui-Lin Chu , Jian Li , J. K. Jain , Shun-Qing Shen

Interfacing s-wave superconductors and quantum spin Hall edges produces time-reversal-invariant topological superconductivity of a type that can not arise in strictly 1D systems. With the aim of establishing sharp fingerprints of this novel…

介观与纳米尺度物理 · 物理学 2016-10-13 David Aasen , Shu-Ping Lee , Torsten Karzig , Jason Alicea

The existence of degenerate or gapless edge states is a characteristic feature of topological insulators, but is difficult to detect in the presence of interactons. We propose a new method to obtain the degeneracy of the edge states from…

强关联电子 · 物理学 2015-03-12 Da Wang , Shenglong Xu , Yu Wang , Congjun Wu

A topological insulator is characterized by a dichotomy between the interior and the edge of a finite system: While the bulk has a non-zero energy gap, the edges are forced to sustain excitations traversing these gaps. Originally proposed…

介观与纳米尺度物理 · 物理学 2015-07-07 Roman Süsstrunk , Sebastian D. Huber

We report the experimental observation of Anderson localization in two-dimensional (2D) electrons and holes in the bulk of HgTe quantum wells with a semimetallic spectrum and under strong disorder. In contrast, the one-dimensional (1D) edge…

介观与纳米尺度物理 · 物理学 2024-12-10 D. A. Khudaiberdiev , Z. D. Kvon , M. S. Ryzhkov , D. A. Kozlov , N. N. Mikhailov , A. Pimenov

We present a novel theoretical approach to incorporate electronic interactions in the study of two-dimensional topological insulators. By exploiting the correspondence between edge state physics and entanglement spectrum in gapped…

介观与纳米尺度物理 · 物理学 2023-09-06 Marcela Derli , E. Novais

We examine the properties of edge states in a two-dimensional topological insulator. Based on the Kane-Mele model, we derive two coupled equations for the energy and the effective width of edge states at a given momentum in a semi-infinite…

介观与纳米尺度物理 · 物理学 2015-06-16 Hyeonjin Doh , Gun Sang Jeon

We theoretically study Coulomb drag between two helical edges with broken spin-rotational symmetry, such as would occur in two capacitively coupled quantum spin Hall insulators. For the helical edges, Coulomb drag is particularly…

介观与纳米尺度物理 · 物理学 2017-02-13 N. Kainaris , I. V. Gornyi , A. Levchenko , D. G. Polyakov

We report low-temperature transport measurements in strained InAs/Ga0.68In0.32Sb quantum wells, which supports time-reversal symmetry-protected helical edge states. The temperature and bias voltage dependence of the helical edge conductance…

介观与纳米尺度物理 · 物理学 2017-12-20 Tingxin Li , Pengjie Wang , Gerard Sullivan , Xi Lin , Rui-Rui Du

The bulk-boundary correspondence guarantees topologically protected edge states in a two-dimensional topological superconductor. Unlike in topological insulators, these edge states are, however, not connected to a quantized (spin) current…

超导电性 · 物理学 2025-02-07 Maximilian F. Holst , Manfred Sigrist , Mark H. Fischer

The lifetime of electrons on edge states of a two-dimensional topological insulator against the background of an allowed two-dimensional band has been determined. It has been shown that this time in the case of scattering on Coulomb…

介观与纳米尺度物理 · 物理学 2019-06-26 M. M. Mahmoodian , M. V. Entin

We prove a general theorem on the relation between the bulk topological quantum number and the edge states in two dimensional insulators. It is shown that whenever there is a topological order in bulk, characterized by a non-vanishing Chern…

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

We study experimentally the transport properties of "inverted" semiconductor HgTe-based quantum well, which is related to the two-dimensional topological insulator, in diffusive transport regime. We perform nonlocal electrical measurements…

介观与纳米尺度物理 · 物理学 2015-05-28 G. M. Gusev , Z. D. Kvon , O. A. Shegai , N. N. Mikhailov , S. A. Dvoretsky , J. C. Portal

Quantum spin Hall insulators with a pair of helical edge states and proximity-induced superconductivity have been shown to support second-order topological superconductors with Majorana corner modes. As the Majorana corner modes are…

介观与纳米尺度物理 · 物理学 2024-10-10 Zhiwei Yin , Haoshu Li , Zhongbo Yan , Shaolong Wan

We investigate a system consisting of one or two topological-insulator leads which are tunnel coupled to a single dot level. The leads are described by the one-dimensional Su-Schrieffer-Heeger model. We show that (topological) edge states…

介观与纳米尺度物理 · 物理学 2022-03-18 Martin T. Maurer , Yen-Ting Lin , Dante M. Kennes , Mikhail Pletyukhov , Herbert Schoeller , Volker Meden

We investigate lateral p-n junctions, electrostatically defined in 14 nm-wide HgTe-based quantum wells (QWs) with inverted band structure. The p-n junctions resistances are close to $h/2e^2$, consistent with some previous experiments on…

介观与纳米尺度物理 · 物理学 2017-12-22 S. U. Piatrusha , V. S. Khrapai , Z. D. Kvon , N. N. Mikhailov , S. A. Dvoretsky , E. S. Tikhonov

We study coherent electric manipulation of magnetic-field-induced localized states at a double kink of a helical edge in a HgTe/CdHgTe quantum well. An in-plane magnetic field opens a gap in the one-dimensional edge spectrum, while changes…

介观与纳米尺度物理 · 物理学 2026-05-28 D. V. Khomitsky , E. A. Lavrukhina , D. P. Krasavin , S. S. Krishtopenko , F. Teppe

We analyze interacting ultra-cold bosonic atoms in a one-dimensional (1D) super-lattice potential with alternating tunneling rates t_1 and t_2 and inversion symmetry, which is the bosonic analogue of the Su-Schrieffer-Heeger (SSH) model. A…

量子气体 · 物理学 2014-10-08 Fabian Grusdt , Michael Höning , Michael Fleischhauer