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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…

Mesoscale and Nanoscale Physics · Physics 2011-12-09 Zhen-Guo Fu , Ping Zhang , Zhigang Wang , Shu-Shen Li

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 investigate states on the surface of strong and weak topological insulators and superconductors that have been gapped by a symmetry breaking term. The surface of a strong 3D topological insulator gapped by a magnetic material is well…

Mesoscale and Nanoscale Physics · Physics 2014-10-07 Ching-Kai Chiu

The quasiparticle interference of the spectroscopic imaging scanning tunneling microscopy has been investigated for the surface states of the large gap topological insulator Bi$_2$Te$_3$ through the T-matrix formalism. Both the scalar…

Mesoscale and Nanoscale Physics · Physics 2010-09-15 Wei-Cheng Lee , Congjun Wu , Daniel P. Arovas , Shou-Cheng Zhang

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

We study in this paper time-reversal $\delta$-impurity scattering effects in the bulk of topological insulators (TI) in two and three dimensions. Specifically we consider how impurity scattering strength is affected by the bulk band…

Materials Science · Physics 2015-06-03 Cheung Chan , Tai-Kai Ng

Constant energy contour (CEC) of the surface bands in topological insulators varies not only with materials but also at different energies. The quasiparticle interference caused by scattering-off from defects on the surface of topological…

Mesoscale and Nanoscale Physics · Physics 2011-09-01 Qin Liu

Despite topological protection and the absence of magnetic impurities, two-dimensional topological insulators display quantized conductance only in surprisingly short channels, which can be as short as 100 nm for atomically thin materials.…

Mesoscale and Nanoscale Physics · Physics 2019-01-08 Pietro Novelli , Fabio Taddei , Andre K. Geim , Marco Polini

We show how to engineer enhanced skew scattering and gap-like opening in the surface state of three-dimensional topological insulators using only non-magnetic impurities. Enhanced skew scattering off non-magnetic impurities is obtained as a…

Mesoscale and Nanoscale Physics · Physics 2014-12-11 J. Fransson , A. M. Black-Schaffer , A. V. Balatsky

The influence of (non-magnetic and magnetic) impurities on the transition temperature of a d-wave superconductor is studied anew within the framework of BCS theory. Pairing interaction decreases linearly with the impurity concentration.…

Superconductivity · Physics 2009-10-30 Mi-Ae Park , M. H. Lee , Yong-Jihn Kim

We present angle resolved photoemission experiments and scanning tunneling spectroscopy results on the doped topological insulator Cu0.2Bi2Te3. Quasi-particle interference (QPI) measurements, based on high resolution conductance maps of the…

Mesoscale and Nanoscale Physics · Physics 2019-01-29 E. van Heumen , G. A. R. van Dalum , J. Kaas , N. de Jong , J. Oen , Y. K. Huang , A. K. Mitchell , L. Fritz , M. S. Golden

Gapless surface states of time reversal invariant topological insulators are protected by the anti-unitary nature of the time reversal operation. Very recently, this idea was generalized to magnetic structures, in which time reversal…

Mesoscale and Nanoscale Physics · Physics 2015-04-01 Rui-Xing Zhang , Chao-Xing Liu

We study the surface conductivity of a three dimensional topological insulator doped with magnetic impurities. The spin-momentum locking of surface electrons makes their scattering from magnetic impurities anisotropic and the standard…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 A. Sabzalipour , J. Abouie , S. H. Abedinpour

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…

Mesoscale and Nanoscale Physics · Physics 2018-07-11 Arian Vezvaee , Antonio Russo , Sophia E. Economou , Edwin Barnes

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

We show that the energy gap induced by ferromagnetically aligned magnetic impurities on the surface of a topological insulator can be filled, due to scattering off the non-magnetic potential of the impurities. In both a continuum surface…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 A. M. Black-Schaffer , A. V. Balatsky , J. Fransson

Three-dimensional topological insulator (TI) nanowires with quantized surface subband spectra are studied as a main component of Majorana bound states (MBS) devices. However, such wires are known to have large concentration $N \sim 10^{19}$…

Mesoscale and Nanoscale Physics · Physics 2021-08-20 Yi Huang , B. I. Shklovskii

We use the numerical renormalization group method tocalculate the single particle matrix elements $\cal T$ of the many body $T$-matrix of the conduction electrons scattered by a magnetic impurity at T=0 temperature. Since $\cal T$…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 G. Zarand , L. Borda , Jan von Delft , Natan Andrei

We study the electron transport in a magnetically doped three dimensional topological insulator (TI) by taking the effects of impurity-impurity exchange interactions into account. The interactions between magnetic impurities give rise to…

Mesoscale and Nanoscale Physics · Physics 2018-10-17 A. N. Zarezad , J. Abouie

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…

Mesoscale and Nanoscale Physics · Physics 2021-01-07 Leonid Braginsky , M. V. Entin
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