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We consider the transport properties of topological insulators surface states in the presence of uncorrelated point-like disorder, both in the classical and quantum regimes. The transport properties of those two-dimensional surface states…

Mesoscale and Nanoscale Physics · Physics 2012-05-24 Pierre Adroguer , David Carpentier , Jérôme Cayssol , Edmond Orignac

The topological protected electronic states on the surface of a topological insulator can progressively change their Fermi cross-section from circular to a snowflake shape as the chemical potential is increased above the Dirac point because…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Zhou Li , J. P. Carbotte

We investigate the spin conductivity of topological insulators taking into account both the surface and quasi-two-dimensional bulk states. We apply a low-energy expansion of the Hamiltonian up to the third order in momentum and take into…

Mesoscale and Nanoscale Physics · Physics 2019-01-30 R. S. Akzyanov , A. L. Rakhmanov

We investigate the influence of the hexagonal warping on the transport properties of the topological insulators. We study the charge conductivity within Kubo formalism in the first Born approximation using low energy expansion of the…

Mesoscale and Nanoscale Physics · Physics 2018-06-22 R. S. Akzyanov , A. L. Rakhmanov

Ultra-thin 3D topological insulators provide a stage to study the surface physics of such materials by minimizing the bulk contribution. Further, the experimentally verified snowflake like structure of the Fermi surface leads to a hexagonal…

Mesoscale and Nanoscale Physics · Physics 2016-03-02 Anirudha Menon , Debashree Chowdhury , Banasri Basu

A single two-dimensinoal Dirac fermion state has been recently observed on the surface of topological insulator Bi$_2$Te$_3$ by angle-resolved photoemission spectroscopy (ARPES). We study the surface band structure using $k \cdot p$ theory…

Materials Science · Physics 2013-05-29 Liang Fu

We construct a theory of charge transport by the surface states of topological insulators in three dimensions. The focus is on the experimentally relevant case when the electron doping is such that the Fermi energy $\epsilon_F$ and…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Dimitrie Culcer , E. H. Hwang , Tudor D. Stanescu , S. Das Sarma

We have performed spin- and angle-resolved photoemission spectroscopy of the topological insulator Pb(Bi,Sb)2Te4 (Pb124) and observed significant out-of-plane spin polarization on the hexagonally warped Dirac-cone surface state. To put this…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 M. Nomura , S. Souma , A. Takayama , T. Sato , T. Takahashi , K. Eto , Kouji Segawa , Yoichi Ando

Hexagonal warping provides an anisotropy to the dispersion curves of the helical Dirac fermions that exist at the surface of a topological insulator. A sub-dominant quadratic in momentum term leads to an asymmetry between conduction and…

Mesoscale and Nanoscale Physics · Physics 2014-01-21 J. P. F. LeBlanc , J. P. Carbotte

We derive diffusion equations, which describe spin-charge coupled transport on the helical metal surface of a three-dimensional topological insulator. The main feature of these equations is a large magnitude of the spin-charge coupling,…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 A. A. Burkov , D. G. Hawthorn

We theoretically study the electric current induced by the temporally oscillating magnetic field onto a three-dimensional topological insulator based on the linear response theory. The electric current flows on its surface because of the…

Mesoscale and Nanoscale Physics · Physics 2014-01-23 Tetsuro Habe , Yasuhiro Asano

In an ideal topological insulator, the helical spin structure of surface electrons suppresses backscattering and thus can enhance surface conductivity. We investigate the effect of perpendicular magnetic field on the spin structure of…

Mesoscale and Nanoscale Physics · Physics 2020-02-12 Teoman Ozturk , Richard L. Field , Yun Suk Eo , Steven Wolgast , Kai Sun , Cagliyan Kurdak

Several recent experiments on three-dimensional topological insulators claim to observe a large charge current-induced non-equilibrium ensemble spin polarization of electrons in the helical surface state. We present a comprehensive…

Materials Science · Physics 2016-06-29 Pengke Li , Ian Appelbaum

ARPES studies of the protected surface states in the Topological Insulator $% Bi_{2}Te_{3}$ have revealed the existence of an important hexagonal warping term in its electronic band structure. This term distorts the shape of the Dirac cone…

Mesoscale and Nanoscale Physics · Physics 2023-06-12 Zhou Li , J. P. Carbotte

3D topological insulators are characterized by an insulating bulk and extended surface states exhibiting a helical spin texture. In this work, we investigate the hyperfine interaction between the spin-charge coupled transport of electrons…

Mesoscale and Nanoscale Physics · Physics 2025-02-19 A. Mert Bozkurt , Sofie Kölling , Alexander Brinkman , İnanç Adagideli

We investigate the electrical conductivity and thermoelectric effects in topological crystalline insulators in the presence of short- and long-range impurity interactions. We employ the generalized Boltzmann formalism for anisotropic Fermi…

Mesoscale and Nanoscale Physics · Physics 2016-11-29 Babak Zare Rameshti , Reza Asgari

When a charge current is injected into the surface state of a topological insulator (TI), the resulting shift of the spin-momentum-locked Fermi surface leads to the appearance of a net spin polarization. The helical spin structure of the…

Mesoscale and Nanoscale Physics · Physics 2023-12-12 Linh T. Dang , Oliver Breunig , Zhiwei Wang , Henry F. Legg , Yoichi Ando

We determine the nature of the magnetic order on the surface of a topological insulator (TI) which develops due to hexagonal warping and the resulting Fermi surface (FS) nesting in the presence of a repulsive Hubbard interaction. For this…

Mesoscale and Nanoscale Physics · Physics 2015-04-08 Daniel Mendler , Panagiotis Kotetes , Gerd Schön

We study the charge and spin transport under high electric field (up to several kV/cm) on the surface of topological insulator Bi$_2$Se$_3$, where the electron-surface optical phonon scattering dominates except at very low temperature. Due…

Mesoscale and Nanoscale Physics · Physics 2013-02-28 P. Zhang , M. W. Wu

We study spin susceptibility and magnetic order at the edges/surfaces of two-dimensional and three-dimensional topological insulators when the Fermi surface is nested. We find that due to spin-momentum locking as well as time-reversal…

Materials Science · Physics 2011-05-26 Jian-Hua Jiang , Si Wu
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