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For the IV-VI semiconductor family we derive an exact relation between the microscopic gap edge wave functions of the bulk insulator and the Dirac-Weyl topological surface state wave function, thus obtaining a fully microscopic surface…

Materials Science · Physics 2017-03-01 N. Klier , S. Sharma , O. Pankratov , S. Shallcross

We develop an effective bulk model with a topological boundary condition to study the surface states of topological insulators. We find that the Dirac point energy, the band curvature and the spin texture of surface states are crystal…

Mesoscale and Nanoscale Physics · Physics 2013-05-01 Fan Zhang , C. L. Kane , E. J. Mele

The spin-orbit interaction affects the electronic structure of solids in various ways. Topological insulators are one example where the spin-orbit interaction leads the bulk bands to have a non-trivial topology, observable as gapless…

Materials Science · Physics 2012-02-15 M. S. Bahramy , B. -J. Yang , R. Arita , N. Nagaosa

We study theoretically the RKKY interaction between magnetic impurities on the surface of three-dimensional topological insulators, mediated by the helical Dirac electrons. Exact analytical expression shows that the RKKY interaction…

Materials Science · Physics 2012-06-18 Jia-Ji Zhu , Dao-Xin Yao , Shou-Cheng Zhang , Kai Chang

Spin-orbit interaction affects the band structure of topological insulators beyond the opening of an inverted gap in the bulk bands, and the understanding of its effects on the surface states is of primary importance to access the…

Mesoscale and Nanoscale Physics · Physics 2024-03-05 Denny Puntel , Simone Peli , Wibke Bronsch , Federico Cilento , Hubert Ebert , Jürgen Braun , Fulvio Parmigiani

We study the RKKY interaction between two magnetic impurities located on the surface of a three-dimensional Dirac semimetal with two Dirac nodes in the band structure. By taking into account both bulk and surface contributions to the…

Mesoscale and Nanoscale Physics · Physics 2019-04-05 V. Kaladzhyan , A. A. Zyuzin , P. Simon

The bulk Rashba semiconductors BiTeX (X=I, Cl and Br) with intrinsically enhanced Rashba spin-orbit coupling provide a new platform for investigation of spintronic and magnetic phenomena in materials. We theoretically investigate the…

Mesoscale and Nanoscale Physics · Physics 2019-07-17 Mahmoud M. Asmar , Wang-Kong Tse

Weyl semimetal showing open-arc surface states is a prominent example of topological quantum matter in three dimensions. With the bulk-boundary correspondence present, nontrivial surface-bulk hybridization is inevitable but less understood.…

Mesoscale and Nanoscale Physics · Physics 2024-08-20 Xiao-Xiao Zhang , Naoto Nagaosa

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 comprehensive theoretical analysis of magnetic heterostructures composed of ferromagnetic (FM) layers interfaced with three-dimensional topological insulators (TIs). Integrating out the topological surface states and computing…

Mesoscale and Nanoscale Physics · Physics 2026-01-13 Christian Svingen Johnsen , Asle Sudbø

Employing the $\mathbf{k}\cdot\mathbf{p}$ expansion for a family of tight-binding models for SmB$_6$, we analytically compute topological surface states on a generic $(lmn)$ surface. We show how the Dirac-cone spin structure depends on…

Strongly Correlated Electrons · Physics 2016-05-12 Pier Paolo Baruselli , Matthias Vojta

We study a generic topological Kondo insulator system by performing a mean-field theoretic calculation within the frame-work of slave-boson protocol. We assume infinite Hubbard-type interaction among the localized electrons. The difference…

Mesoscale and Nanoscale Physics · Physics 2020-07-23 Partha Goswami

We report on microscopic tight-binding modeling of surface states in Bi$_2$Se$_3$ three-dimensional topological insulator, based on a sp$^3$ Slater-Koster Hamiltonian, with parameters calculated from density functional theory. The effect of…

Mesoscale and Nanoscale Physics · Physics 2014-11-04 A. Pertsova , C. M. Canali

Topological crystalline insulators (TCI) are new topological phases of matter protected by crystal symmetry of solids. Recently, the first realization of TCI has been predicted and observed in IV-VI semiconductor SnTe and related alloys…

Materials Science · Physics 2013-12-18 Junwei Liu , Wenhui Duan , Liang Fu

Topological insulators host spin-polarized surface states born out of the energetic inversion of bulk bands driven by the spin-orbit interaction. Here we discover previously unidentified consequences of band-inversion on the surface…

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

Based on ab initio relativistic ${\mathbf k}\cdot{\mathbf p}$ theory, we derive an effective two-band model for surface states of three-dimensional topological insulators up to seventh order in $\mathbf{k}$. It provides a comprehensive…

Mesoscale and Nanoscale Physics · Physics 2020-10-02 I. A. Nechaev , E. E. Krasovskii

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

The opening of a band gap due to compressive uniaxial strain renders bulk HgTe a strong three-dimensional topological insulators with protected gapless surface states at any surface. By employing a six-band k.p model, we determine the spin…

Mesoscale and Nanoscale Physics · Physics 2017-01-05 Frank Kirtschig , Jeroen van den Brink , Carmine Ortix

Topological insulators represent a new class of quantum phase defined by invariant symmetries and spin-orbit coupling that guarantees metallic Dirac excitations at its surface. The discoveries of these states have sparked the hope of…

Mesoscale and Nanoscale Physics · Physics 2013-06-10 Tanmoy Das , A. V. Balatsky
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