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We consider two dimensional systems in which edge states coexist with a gapless bulk. Such systems may be constructed, for example, by coupling a gapped two dimensional state of matter that carries edge states to a gapless two dimensional…

介观与纳米尺度物理 · 物理学 2015-04-07 Yuval Baum , Thore Posske , Ion Cosma Fulga , Björn Trauzettel , Ady Stern

Topological states of matter are robust quantum phases, characterised by propagating or localised edge states in an insulating bulk. Topological boundary states can be triggered by various mechanisms, for example by strong spin-orbit…

介观与纳米尺度物理 · 物理学 2020-07-01 S. E. Freeney , J. J. van den Broeke , A. J. J. Harsveld van der Veen , I. Swart , C. Morais Smith

In 2D topological insulators (TIs) based on semiconductor quantum wells such as HgTe/CdTe or InAs/GaSb/AlSb, spin polarized edge states have been predicted with a massless Dirac like dispersion. In a hard wall treatment based on the 4 x 4…

介观与纳米尺度物理 · 物理学 2021-11-17 P. C. Klipstein

In the ferromagnetic insulator with Dzyaloshinskii-Moriya interaction, we theoretically predict and numerically verify a topological magnon insulator, where the charge-free magnon is topologically protected to transport along the edge while…

介观与纳米尺度物理 · 物理学 2013-04-10 Lifa Zhang , Jie Ren , Jian-Sheng Wang , Baowen Li

The massless Dirac electrons found at topological insulator surfaces are thought to be influenced very little by weak, non-magnetic disorder. However, a resonance effect of strongly perturbing non-magnetic impurities has been theoretically…

The Letter is analyzing bulk spin (moment) currents and spin (moment) accumulation at edges of a 2D topological insulator taking into account reflection from edges. Accumulation occurs only at edge states, which distinguish topological…

介观与纳米尺度物理 · 物理学 2015-05-19 E. B. Sonin

Topological insulators support metallic surface states whose existence is protected by the bulk band structure. It has been predicted early that the topology of the surface state Fermi contour should depend on several factors, such as the…

强关联电子 · 物理学 2014-08-07 Xie-Gang Zhu , Philip Hofmann

One of the hallmarks of topological insulators is the correspondence between the value of its bulk topological invariant and the number of topologically protected edge modes observed in a finite-sized sample. This bulk-boundary…

介观与纳米尺度物理 · 物理学 2021-05-04 Ana Silva , Jasper van Wezel

The bulk-boundary correspondence establishes a connection between the bulk topological index of an insulator or superconductor, and the number of topologically protected edge bands or states. For topological superconductors in two…

介观与纳米尺度物理 · 物理学 2017-11-22 Nicholas Sedlmayr , Vardan Kaladzhyan , Clément Dutreix , Cristina Bena

The low energy sector of 2D and 3D topological insulators (TIs) exhibits propagating edge states, which has speculated the existence of equilibrium edge currents or edge spin currents. We demonstrate that if the low energy sector of TIs is…

介观与纳米尺度物理 · 物理学 2020-05-14 Wei Chen

Topological edge states arise at the interface of two topologically-distinct structures and have two distinct features: they are localized and robust against symmetry protecting disorder. On the other hand, conventional transport in one…

介观与纳米尺度物理 · 物理学 2022-05-05 Jannatul Ferdous , Cem Yuce , Andrea Alù , Hamidreza Ramezani

Topological insulators are new states of quantum matter which can not be adiabatically connected to conventional insulators and semiconductors. They are characterized by a full insulating gap in the bulk and gapless edge or surface states…

介观与纳米尺度物理 · 物理学 2011-11-09 Xiao-Liang Qi , Shou-Cheng Zhang

We develop an effective bulk model with a topological boundary condition to study the surface states of topological insulators. We find that the Dirac point energy, the band curvature and the spin texture of surface states are crystal…

介观与纳米尺度物理 · 物理学 2013-05-01 Fan Zhang , C. L. Kane , E. J. Mele

It is well established that topological insulators sustain Dirac fermion surface states as a consequence of band inversion in the bulk. These states have a helical spin polarization and a linear dispersion with large Fermi velocity. In this…

A global phase diagram of disordered weak and strong topological insulators is established numerically. As expected, the location of the phase boundaries is renormalized by disorder, a feature recognized in the study of the so-called…

介观与纳米尺度物理 · 物理学 2013-06-14 Koji Kobayashi , Tomi Ohtsuki , Ken-Ichiro Imura

The hallmark property of two-dimensional topological materials is the incredible robustness of the quantized Hall conductivity to disorder. That robustness arises from the fact that in the topological band gap, transport can occur only…

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 study spectra of surface states in 2D topological insulators (TIs) based on HgTe/(Hg,Cd)Te quantum wells and 3D Bi$_2$Se$_3$-type compounds by constructing a class of feasible time-reversal invariant boundary conditions (BCs) for an…

介观与纳米尺度物理 · 物理学 2015-06-22 V. V. Enaldiev , I. V. Zagorodnev , V. A. Volkov

2D topological insulators promise novel approaches towards electronic, spintronic, and quantum device applications. This is owing to unique features of their electronic band structure, in which bulk-boundary correspondences enforces the…

Based on a self-consistent $t$-matrix approximation, we explore the influence of magnetic and nonmagnetic doping on the surface electronic states and conductivity of topological insulators. We show that warping parameter has a crucial…

介观与纳米尺度物理 · 物理学 2021-06-09 Masomeh Arabikhah , Alireza Saffarzadeh