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This paper develops a scattering theory for the asymmetric transport observed at interfaces separating two-dimensional topological insulators. Starting from the spectral decomposition of an unperturbed interface Hamiltonian, we present a…

Spectral Theory · Mathematics 2025-08-13 Binglu Chen , Guillaume Bal

Transport properties of a single-mode waveguide with rough boundary are studied by discrimination between two mechanisms of surface scattering, the amplitude and square-gradient ones. Although these mechanisms are generically mixed, we show…

Statistical Mechanics · Physics 2015-05-30 Manuel Rendón , Felix M. Izrailev , Nykolay M. Makarov

Topological insulators are materials with an insulating bulk interior while maintaining gapless boundary states against back scattering. Bi$_2$Se$_3$ is a prototypical topological insulator with a Dirac-cone surface state around $\Gamma$.…

The results of ultra-high vacuum low-temperature scanning-tunneling microscopy (STM) and spectroscopy (STS) of atomically clean (111) surface of the topological insulator Bi$_2$Se$_3$ are presented. We observed several types of new…

Mesoscale and Nanoscale Physics · Physics 2014-12-12 A. Yu. Dmitriev , N. I. Fedotov , V. F. Nasretdinova , S. V. Zaitsev-Zotov

Combining the ability to prepare high-quality, intrinsic Bi$_2$Te$_3$ topological insulator thin films of low carrier density with in-situ protective capping, we demonstrate a pronounced, gate-tunable change in transport properties of…

Mesoscale and Nanoscale Physics · Physics 2016-07-04 Prosper Ngabonziza , Martin P. Stehno , Hiroaki Myoren , Viola A. Neumann , Gertjan Koster , Alexander Brinkman

We have designed 3D numerical simulations of a soft spheres model, with size polidispersity and in athermal conditions, to study the transient shear banding that occurs during yielding of jammed soft solids. We analyze the effects of…

Soft Condensed Matter · Physics 2020-07-15 Vishwas V. Vasisht , Emanuela Del Gado

While two-dimensional topological insulators (2D TI) initiated the field of topological materials, only very few materials were discovered to date and the direct access to their quantum spin Hall edge states has been challenging due to…

Mesoscale and Nanoscale Physics · Physics 2016-04-12 Sung Hwan Kim , Kyung-Hwan Jin , Joonbum Park , Jun Sung Kim , Seung-Hoon Jhi , Han Woong Yeom

Topological insulators are guaranteed to support metallic surface states on an insulating bulk, and one should thus expect that the electronic transport in these materials is dominated by the surfaces states. Alas, due to the high remaining…

Surface Umklapp scattering of quasiparticles, and surface roughness are shown to play essential roles in the formation of the surface bound states in realistic models for YBa_2Cu_3O_{6+x}. The results account for the shape, the impurity…

Superconductivity · Physics 2009-10-31 M. B. Walker , P. Pairor

We demonstrate that the metallic topological surface states wrap on all sides the 3D topological crystalline insulator SnTe. This is achieved by studying oscillatory quantum magneto-transport and magnetization at tilted magnetic fields…

Materials Science · Physics 2017-11-22 K. Dybko , M. Szot , A. Szczerbakow , M. U. Gutowska , T. Zajarniuk , J. Z. Domagala , A. Szewczyk , T. Story , W. Zawadzki

Topological states of matter challenge the paradigm of symmetry breaking, characterized by gapless boundary modes and protected by the topological property of the ground state. Recently, angle-resolved photoemission spectroscopy (ARPES) has…

Strongly Correlated Electrons · Physics 2015-05-28 Heon-Jung Kim , Ki-Seok Kim , Mun Dae Kim , S. -J. Lee , J. -W. Han , A. Ohnishi , M. Kitaura , M. Sasaki , A. Kondo , K. Kindo

Charge transport in topological insulators is primarily characterised by so-called topologically projected helical edge states, where charge carriers are correlated in spin and momentum. In principle, dissipation-less current can be carried…

Mesoscale and Nanoscale Physics · Physics 2022-10-05 Jesse A. Vaitkus , Cong Son Ho , Jared H. Cole

The Spin-Orbit Proximity Effect is the raise of Spin-Orbit Coupling at a layer near to the interface with a strong spin-orbit material. It has been seen in several system such as graphene and ferromagnetic layers. The control of the…

The topological properties of the bulk band structure of a three-dimensional topological insulator (TI) manifest themselves in the form of metallic surface states. In this paper, we propose a probe which directly couples to an exotic…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Sthitadhi Roy , Kush Saha , Sourin Das

We present a class of 2D systems which shows a counterintuitive property that contradicts a semi classical intuition: A 2D quantum particle "prefers" tunneling through a barrier rather than traveling above it. Viewing the one particle 2D…

Quantum Physics · Physics 2011-02-14 Denys I. Bondar , Wing-Ki Liu , Misha Yu. Ivanov

Bismuth-chalchogenides are model examples of three-dimensional topological insulators. Their ideal bulk-truncated surface hosts a single spin-helical surface state, which is the simplest possible surface electronic structure allowed by…

This paper is devoted to the asymptotics of the density of surfacic states near the spectral edges for a discrete surfacic Anderson model. Two types of spectral edges have to be considered : fluctuating edges and stable edges. Each type has…

Mathematical Physics · Physics 2009-11-10 Werner Kirsch , Frederic Klopp

We present a systematic investigation of the edge states of two-dimensional {\alpha}-bismuthene ({\alpha}-Bi) structures self-assembled on HOPG substrates, using scanning tunnelling microscopy and scanning tunnelling spectroscopy. The…

We demonstrate that an important quantum material WTe$_2$ exhibits a new type of geometry-induced spin-filtering effect in photoemission, stemming from low symmetry that is responsible for its exotic transport properties. Through the…

We present an {\it exact} quantum theory for the bound states in the vicinity of an edge or a line of impurities in a $d_{x^2-y^2}$ superconductor. For a (110)-surface we show that a finite dispersion of the one dimensional band of bound…

Superconductivity · Physics 2007-05-23 Dirk K. Morr , Eugene Demler