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The surface states of a topological insulator are described by an emergent relativistic massless Dirac equation in 2+1 dimensions. In contrast to graphene, there is an odd number of Dirac points, and the electron spin is directly coupled to…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Qin Liu , Chao-Xing Liu , Cenke Xu , Xiao-Liang Qi , Shou-Cheng Zhang

Motivated by recent scanning tunneling microscopy experiments on surfaces of Bi$_{1-x}$Sb$_{x'}$\cite{yazdanistm,gomesstm} and Bi$_2$Te$_3$,\cite{kaptunikstm,xuestm} we theoretically study the electronic structure of a 3-dimensional (3D)…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Qiang-Hua Wang , Da Wang , Fu-Chun Zhang

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…

Topological insulators (TIs) are said to be stable against non-magnetic impurity scattering due to suppressed backscattering in the Dirac surface states. We solve a lattice model of a three-dimensional TI in the presence of strong potential…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Annica M. Black-Schaffer , Alexander V. Balatsky

Shortly after the discovery of topological band insulators, topological Kondo insulators (TKIs) have also been theoretically predicted. The latter has ignited revival interest in the properties of Kondo insulators. Currently, the…

Strongly Correlated Electrons · Physics 2025-06-05 C. -C. Joseph Wang , Jean-Pierre Julien , A. V. Balatsky , Jian-Xin Zhu

Strong nonmagnetic impurities on the surface of three-dimensional topological insulators (TIs) generate localized resonance peaks close to the Dirac point. We show that this results in a strongly reduced critical Coulomb interaction…

Mesoscale and Nanoscale Physics · Physics 2015-02-03 Annica M. Black-Schaffer , Dmitry Yudin

We compute the multifractal spectra associated to local density of states (LDOS) fluctuations due to weak quenched disorder, for a single Dirac fermion in two spatial dimensions. Our results are relevant to the surfaces of Z_2 topological…

Disordered Systems and Neural Networks · Physics 2013-05-30 Matthew S. Foster

We theoretically study the effect of localized magnetic impurities on two-dimensional topological superconductor (TSC). We show that the local density of states (LDOS) can be tuned by the effective exchange field $m$, the chemical potential…

Superconductivity · Physics 2015-05-30 Zhen-Guo Fu , Ping Zhang , Zhigang Wang , Shu-Shen Li

Using a three-dimensional microscopic lattice model of a strong topological insulator (TI) we study potential impurities and vacancies in surface and subsurface positions. For all impurity locations we find impurity-induced resonance states…

Mesoscale and Nanoscale Physics · Physics 2012-09-24 Annica M. Black-Schaffer , Alexander V. Balatsky

We address the electronic structure of the surface states of topological insulator thin films with embedded local non-magnetic and magnetic impurities. Using the $T$-matrix expansion of the real space Green's function, we derive the local…

Mesoscale and Nanoscale Physics · Physics 2017-07-14 Mahroo Shiranzaei , Fariborz Parhizgar , Jonas Fransson , Hosein Cheraghchi

We theoretically study the effect of impurity resonances on the indirect exchange interaction between magnetic impurities in the surface states of a three-dimensional topological insulator. The interaction is composed of an isotropic…

Mesoscale and Nanoscale Physics · Physics 2018-05-16 Mahroo Shiranzaei , Jonas Fransson , Hosein Cheraghchi , Fariborz Parhizgar

In this paper we present detailed study of the density of states near defects in Bi$_2$Se$_3$. In particular, we present data on the commonly found triangular defects in this system. While we do not find any measurable quasiparticle…

We study Kondo physics of a spin-$\frac{1}{2}$ impurity in electronic matter with strong spin-orbit interaction, which can be realized by depositing magnetic adatoms on the surface of a three-dimensional topological insulator. We show that…

Strongly Correlated Electrons · Physics 2015-12-10 L. Isaev , G. Ortiz , I. Vekhter

By employing T-matrix approach, we investigate a nonmagnetic impurity located on the surface of three-dimensional topological insulators, where the time reversal symmetry is preserved. It is shown that the images of the local density of…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Degang Zhang , C. S. Ting

A key feature of topological insulators is the robustness of the electron energy spectrum. At a surface of a topological insulator, Dirac point is protected by the characteristic symmetry of the system. The breaking of the symmetry opens a…

Mesoscale and Nanoscale Physics · Physics 2016-12-21 S. Stagraczynski , L. Chotorlishvili , V. K. Dugaev , C. -L. Jia , A. Ernst , A. Komnik , J. Berakdar

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

Magnetic ions such as Fe, Mn and Co with localized spins may be adsorbed on the surface of topological insulators like \Bi. They form scattering centers for the helical surface states which have a Dirac cone dispersion as long as the local…

Mesoscale and Nanoscale Physics · Physics 2013-06-25 Peter Thalmeier , Alireza Akbari

The Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction between magnetic impurities, mediated by Dirac surface states on the surface of a topological insulator, leads to impurities ferromagnetic ordering. We present a self-consistent theory of…

Mesoscale and Nanoscale Physics · Physics 2014-03-28 D. K. Efimkin , V. Galitski

We consider the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction between magnetic impurities on the surface of a three-dimensional topological insulator with proximity induced superconductivity. A superconductor placed on the top of the…

Mesoscale and Nanoscale Physics · Physics 2014-10-01 Alexander A. Zyuzin , Daniel Loss

The local density of states (LDOS) and its Fourier component induced by a unitary impurity in a supercurrent-carrying d-wave superconductor are investigated. Both of these quantities possess a reflection symmetry about the line passing…

Superconductivity · Physics 2009-11-10 Degang Zhang , C. S. Ting , C. -R. Hu
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