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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

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

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

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…

We investigate the effects of magnetic and nonmagnetic impurities on the two-dimensional surface states of three-dimensional topological insulators (TIs). Modeling weak and strong TIs using a generic four-band Hamiltonian, which allows for…

Mesoscale and Nanoscale Physics · Physics 2016-02-26 Andreas Pieper , Holger Fehske

Scanning tunneling spectroscopic studies of Bi2Se3 epitaxial films on Si (111) substrates reveal highly localized unitary impurity resonances associated with non-magnetic quantum impurities. The strength of the resonances depends on the…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 M. L. Teague , H. Chu , F. -X. Xiu , L. He , K. -L. Wang , N. -C. Yeh

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

We calculate the modification of the local electronic structure caused by a local impurity on the surface of a 3D Topological Insulator. We find that the LDOS around the Dirac point of the electronic spectrum at the surface is significantly…

Materials Science · Physics 2013-11-25 Rudro R. Biswas , Alexander V. Balatsky

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

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 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

It is shown that the Hamiltonian for a quantum magnetic impurity on the surface of a topological insulator can be mapped to the conventional pseudo-gap Anderson impurity model, albeit with the combinations of continuum states which…

Strongly Correlated Electrons · Physics 2011-02-07 Rok Zitko

Nodal-line semimetals are characterized by a kind of topologically nontrivial bulk-band crossing, giving rise to almost flat surface states. Yet, a direct evidence of the surface states is still lacking. Here we study theoretically impurity…

Mesoscale and Nanoscale Physics · Physics 2019-11-20 Tao Zhou , Wei Chen , Yi Gao , Z. D. Wang

We consider periodically driven potential impurities coupled to the surface states of a two-dimensional topological insulator. The problem is addressed by means of two models, out which the first model is an effective continuum Hamiltonian…

Strongly Correlated Electrons · Physics 2019-10-02 Saurabh Pradhan , Jonas Fransson

Three dimensional topological insulators are bulk insulators with $\mathbf{Z}_2$ topological electronic order that gives rise to conducting light-like surface states. These surface electrons are exceptionally resistant to localization by…

Mesoscale and Nanoscale Physics · Physics 2017-03-07 Yishuai Xu , Janet Chiu , Lin Miao , Haowei He , Zhanybek Alpichshev , A. Kapitulnik , Rudro R. Biswas , L. Andrew Wray

In the three-dimensional topological insulator (TI), the physics of doped semiconductors exists literally side-by-side with the physics of ultra-relativistic Dirac fermions. This unusual pairing creates a novel playground for studying the…

Mesoscale and Nanoscale Physics · Physics 2013-11-12 Brian Skinner , Tianran Chen , B. I. Shklovskii

We consider the effects of impurities on topological insulators and superconductors. We start by identifying the general conditions under which the eigenenergies of an arbitrary Hamiltonian H belonging to one of the Altland-Zirnbauer…

Mesoscale and Nanoscale Physics · Physics 2016-01-27 Lukas Kimme , Timo Hyart

Topological insulators interacting with magnetic impurities have been reported to host several unconventional effects. These phenomena are described within the framework of gapping Dirac quasiparticles due to broken time-reversal symmetry.…

A two-dimensional superconductor (SC) on surfaces of topological insulators (TIs) is a mixture of s-wave and helical p-wave components when induced by s-wave interactions, since spin and momentum are correlated. On the basis of the…

Superconductivity · Physics 2015-06-05 Yuto Ito , Youhei Yamaji , Masatoshi Imada

In light of recent proposals to realize a topological superconductor on the surface of strong topological insulators, we study impurity and vortex scattering in two dimensional topological superconductivity. We develop a theory of…

Superconductivity · Physics 2015-04-21 Aaron Farrell , Maxime Beaudry , M. Franz , T. Pereg-Barnea
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