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We study theoretically by a quantum-mechanical approach the general scattering problem of a straight step defect on the surface of topological insulator $\mathrm{Bi}_{2}\mathrm{Te}_{3}$ with strong warping effect. At high energy where the…

Mesoscale and Nanoscale Physics · Physics 2012-10-24 Jin An , C. S. Ting

The eigenstates in the presence of a step defect (SD) along $x$ or y axis on the surface of topological insulators are exactly solved. It is shown that unlike the electronic states in conventional metals, the topological surface states…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Degang Zhang , C. S. Ting

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…

Mesoscale and Nanoscale Physics · Physics 2024-09-04 David J. Alspaugh , D. N. Sheng , Mahmoud M. Asmar

An unpaired gapless Dirac electron emergent at the surface of a strong topological insulator (STI) is protected by the bulk-surface correspondence and believed to be immune to backward scattering. It is less obvious, however, and yet to be…

Mesoscale and Nanoscale Physics · Physics 2012-08-31 Yositake Takane , Ken-Ichiro Imura

We studied the resonant diffraction signal from stepped surfaces of SrTiO3 at the Ti 2p -> 3d (L2,3) resonance in comparison with x-ray absorption (XAS) and specular reflectivity data. The steps on the surface form an artificial…

We study the scattering of edge states of 2D topological insulator (TI) in the uniform external magnetic field due to edge imperfections, common in realistic 2D TI samples. The external magnetic field breaks time reversal (TR) symmetry,…

Mesoscale and Nanoscale Physics · Physics 2025-01-22 A. S. Dotdaev , Ya. I. Rodionov , A. V. Rozhkov , P. D. Grigoriev

We show that scattering from the boundary of static, higher-order topological insulators (HOTIs) can be used to simulate the behavior of (time-periodic) Floquet topological insulators. We consider D-dimensional HOTIs with gapless corner…

Mesoscale and Nanoscale Physics · Physics 2021-06-30 Selma Franca , Fabian Hassler , Ion Cosma Fulga

We study the scattering theory of delicate topological insulators (TIs), which are novel topological phases beyond the paradigm of the tenfold way, topological quantum chemistry, and the symmetry indicator method. We demonstrate that the…

Mesoscale and Nanoscale Physics · Physics 2023-05-17 Penghao Zhu , Jiho Noh , Yingkai Liu , Taylor L. Hughes

Detailed study of the LDOS associated with the surface-state-band near a step-edge of the strong topological-insulator Bi2Te3, reveal a one-dimensional bound state that runs parallel to the stepedge and is bound to it at some characteristic…

Strongly Correlated Electrons · Physics 2013-05-29 Zhanybek Alpichshev , J. G. Analytis , J. -H. Chu , I. R. Fisher , A. Kapitulnik

To understand the seemingly absent temperature dependence in the conductance of two-dimensional topological insulator edge states, we perform a numerical study which identifies the quantitative influence of the combined effect of dephasing…

Mesoscale and Nanoscale Physics · Physics 2015-11-25 Sven Essert , Viktor Krueckl , Klaus Richter

We investigate the effect of potential barriers in the form of step edges on the scattering properties of Bi$_2$Se$_3$(111) topological surface states by means of large-scale ab-initio transport simulations. Our results demonstrate the…

Mesoscale and Nanoscale Physics · Physics 2014-12-18 Awadhesh Narayan , Ivan Rungger , Andrea Droghetti , Stefano Sanvito

A line defect on a metallic surface induces standing waves in the electronic local density of states (LDOS). Asymptotically far from the defect, the wave number of the LDOS oscillations at the Fermi energy is usually equal to the distance…

Mesoscale and Nanoscale Physics · Physics 2012-09-11 P. Rakyta , A. Palyi , J. Cserti

We propose a general theory on the standing waves (quasiparticle interference pattern) caused by the scattering of surface states off step edges in topological insulators, in which the extremal points on the constant energy contour of…

Mesoscale and Nanoscale Physics · Physics 2012-07-26 Jing Wang , Wei Li , Peng Cheng , Canli Song , Tong Zhang , Peng Deng , Xi Chen , Xucun Ma , Ke He , Jin-Feng Jia , Qi-Kun Xue , Bang-Fen Zhu

In addition to novel surface states, topological insulators can also exhibit robust gapless states at crystalline defects. Step edges constitute a class of common defects on the surface of crystals. In this work we establish the topological…

Strongly Correlated Electrons · Physics 2019-04-17 Davide Iaia , Chang-Yan Wang , Yulia Maximenko , Daniel Walkup , R. Sankar , Fangcheng Chou , Yuan-Ming Lu , Vidya Madhavan

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…

Mesoscale and Nanoscale Physics · Physics 2013-06-10 Jing Wang , Bang-Fen Zhu

In this paper we indicate a general method to calculate the power law that governs how electronic LDOS oscillations decay far away from a surface step edge (or any local linear barrier), in the energy range when only 2D surface states are…

Mesoscale and Nanoscale Physics · Physics 2010-05-27 Rudro R. Biswas , Alexander V. Balatsky

The control of wave scattering in complex non-Hermitian settings is an exciting subject -- often challenging the creativity of researchers and stimulating the imagination of the public. Successful outcomes include invisibility cloaks,…

Mesoscale and Nanoscale Physics · Physics 2025-04-28 Jared Erb , Nadav Shaibe , Robert Calvo , Daniel Lathrop , Thomas Antonsen , Tsampikos Kottos , Steven M. Anlage

Electron scattering in the topological surface state (TSS) of the bulk-insulating topological insulator Bi$_{1.5}$Sb$_{0.5}$Te$_{1.7}$Se$_{1.3}$ was studied using quasiparticle interference observed by scanning tunneling microscopy. It was…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Sunghun Kim , Shunsuke Yoshizawa , Yukiaki Ishida , Kazuma Eto , Kouji Segawa , Yoichi Ando , Shik Shin , Fumio Komori

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…

Materials Science · Physics 2011-05-27 Y. Okada , C. Dhital , Wen-Wen Zhou , Hsin Lin , S. Basak , A. Bansil , Y. -B. Huang , H. Ding , Z. Wang , Stephen D. Wilson , V. Madhavan

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…

Optics · Physics 2017-03-16 Lixin Ge , Dezhuan Han , Jian Zi
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