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This paper proposes a quantitative description of the low energy edge states at the interface between two-dimensional topological insulators. They are modeled by continuous Hamiltonians as systems of Dirac equations that are amenable to a…

数学物理 · 物理学 2018-08-16 Guillaume Bal

The electromagnetic scattering properties of topological insulator (TI) spheres are systematically studied in this paper. Unconventional backward scattering caused by the topological magneto-electric (TME) effect of TIs are found in both…

光学 · 物理学 2017-03-16 Lixin Ge , Dezhuan Han , Jian Zi

The theory of magnetoresistance of the edge state of a two-dimensional topological insulator is developed. The magnetic field violates the time-reversal invariance. Magnetoresistance arises due to the energy gap opened by a magnetic field…

介观与纳米尺度物理 · 物理学 2021-01-07 Leonid Braginsky , M. V. Entin

Topological insulators as new type of quantum matter materials are characterized by a full insulating gap in the bulk and gapless edge/surface states which are protected by time-reversal symmetry. We propose the interference patterns caused…

介观与纳米尺度物理 · 物理学 2013-06-10 Jing Wang , Bang-Fen Zhu

We develop a general low-energy multiple-scattering partial-wave theory for gapless topological insulator (TI) surfaces in the presence of magnetic impurities. As applications, we discuss the differential cross section (CS)…

介观与纳米尺度物理 · 物理学 2012-06-21 Zhen-Guo Fu , Ping Zhang , Zhigang Wang , Fawei Zheng , Shu-Shen Li

A general partial-wave multiple scattering theory for scattering from cylindrically symmetric potentials on a topological insulator (TI) surface is developed. As an application, the cross sections for a single scatterer and two scatterers…

介观与纳米尺度物理 · 物理学 2011-12-09 Zhen-Guo Fu , Ping Zhang , Zhigang Wang , Shu-Shen Li

We study local density of state (LDOS) oscillations arising from the scattering of electrons at atomic edge defects in topological insulator (TI) surfaces. To create edge scattering on the surface of a TI, we assume that half of its surface…

介观与纳米尺度物理 · 物理学 2024-09-04 David J. Alspaugh , D. N. Sheng , Mahmoud M. Asmar

The 2D TI edge states are considered within the Volkov-Pankratov (VP) Hamiltonian. A smooth transition between TI and OI is assumed. The edge states are formed in the total gap of homogeneous 2D material. A pair of these states are of…

介观与纳米尺度物理 · 物理学 2021-01-14 M. M. Mahmoodian , M. V. Entin

Symmetries play an essential role in identifying and characterizing topological states of matter. Here, we classify topologically two-dimensional (2D) insulators and semimetals with vanishing spin-orbit coupling using time-reversal…

介观与纳米尺度物理 · 物理学 2016-12-14 Guido van Miert , Carmine Ortix , Cristiane Morais Smith

Two-dimensional topological insulators are characterized by gapped bulk states and gapless helical edge states, i.e. time-reversal symmetric edge states accommodating a pair of counter-propagating electrons. An external magnetic field…

介观与纳米尺度物理 · 物理学 2012-04-02 G. Tkachov , E. M. Hankiewicz

We study electron transport at the edge of a generic disordered two-dimensional topological insulator, where some channels are topologically protected from backscattering. Assuming the total number of channels is large, we consider the edge…

介观与纳米尺度物理 · 物理学 2016-03-08 E. Khalaf , M. A. Skvortsov , P. M. Ostrovsky

Topological insulators exhibit gapless edge or surface states that are topologically protected by time-reversal symmetry. However, several promising candidates for topologically insulating materials (such as Bi$_2$Se$_3$ and HgTe) contain…

介观与纳米尺度物理 · 物理学 2018-07-11 Arian Vezvaee , Antonio Russo , Sophia E. Economou , Edwin Barnes

The boundary modes of topological insulators are protected by the symmetries of the non-trivial bulk electronic states. Unless these symmetries are broken, they can give rise to novel phenomena, such as the quantum spin Hall effect in…

介观与纳米尺度物理 · 物理学 2020-07-10 Berthold Jäck , Yonglong Xie , B. Andrei Bernevig , Ali Yazdani

We report on angle resolved photoemission spectroscopic studies on a parent topological insulator (TI), Bi$_2$Se$_3$. The line width of the spectral function (inverse of the quasi-particle lifetime) of the topological metallic (TM) states…

强关联电子 · 物理学 2011-10-25 S. R. Park , W. S. Jung , Chul Kim , D. J. Song , C. Kim , S. Kimura , K. D. Lee , N. Hur

We show that a magnetic line defect on the surface of a topological insulator generically supports two distinct branches of spin-polarized and current carrying one-dimensional bound states. We identify the components of magnetic scattering…

介观与纳米尺度物理 · 物理学 2024-01-17 Eklavya Thareja , Ilya Vekhter

We study the quasiparticle interference (QPI) patterns caused by scattering off nonmagnetic, magnetic point impurities, and edge impurities, separately, in a two dimensional helical liquid, which describes the surface states of a…

介观与纳米尺度物理 · 物理学 2013-05-29 Xiaoting Zhou , Chen Fang , Wei-Feng Tsai , Jiangping Hu

We study backscattering of electrons and conductance suppression in a helical edge channel in two-dimensional topological insulators with broken axial spin symmetry in the presence of nonmagnetic point defects that create bound states. In…

介观与纳米尺度物理 · 物理学 2021-04-28 Vladimir A. Sablikov , Aleksei A. Sukhanov

The helical edge states of time-reversal invariant two-dimensional topological insulators are protected against backscattering in idealized models. In more realistic scenarios with a shallow confining potential at the sample boundary,…

介观与纳米尺度物理 · 物理学 2022-11-09 Niels John , Adrian Del Maestro , Bernd Rosenow

In topological insulators (TI), strong spin-orbit coupling results in non-trivial scattering processes of the surface states, whose effects include suppressed back scattering1, 2, 3, 4 weak anti-localization5, 6 and the possibility of an…

We consider a charged particle following the boundary of a two-dimensional domain because a homogeneous magnetic field is applied. We develop the basic scattering theory for the corresponding quantum mechanical edge states. The scattering…

数学物理 · 物理学 2009-11-11 C. Buchendorfer , G. M. Graf
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