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We study the helical edge states of a two-dimensional topological insulator without axial spin symmetry due to the Rashba spin-orbit interaction. Lack of axial spin symmetry can lead to so-called generic helical edge states, which have…

Mesoscale and Nanoscale Physics · Physics 2016-05-27 Laura Ortiz , Rafael A. Molina , Gloria Platero , Anders Mathias Lunde

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

Spin torques at topological insulator (TI)/ferromagnet interfaces have received considerable attention in recent years with a view towards achieving full electrical manipulation of magnetic degrees of freedom. The most important question in…

Mesoscale and Nanoscale Physics · Physics 2024-04-24 James H. Cullen , Rhonald Burgos Atencia , Dimitrie Culcer

Strong spin-orbit coupling can have a profound effect on the electronic structure in a metal or semiconductor, particularly for low electron concentrations. We show how, for small values of the Fermi energy compared to the spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 E. Cappelluti , C. Grimaldi , F. Marsiglio

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 study coherent spin transport through helical edge states of topological insulator tunnel-coupled to metallic leads. We demonstrate that unpolarized incoming electron beam acquires finite polarization after transmission through such a…

Mesoscale and Nanoscale Physics · Physics 2021-11-10 R. A. Niyazov , D. N. Aristov , V. Yu. Kachorovskii

A topological insulator is characterized by spin-momentum locking on its boundary. The spin momentum locking on the surface of a three dimensional topological insulator leads to the existence of a non-trivial Berry's phase which leads to…

Mesoscale and Nanoscale Physics · Physics 2012-06-06 Su-Yang Xu , L. A. Wray , Y. Xia , R. Shankar , S. Jia , A. Fedorov , J. H. Dil , F. Meier , B. Slomski , J. Osterwalder , R. J. Cava , M. Z. Hasan

Since the prediction of a new topological state of matter in graphene, materials acting as topological insulators have attracted wide attention. Shortly after the theoretical proposal for a mercury telluride (HgTe)-based two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2012-03-26 Viktor Krueckl , Klaus Richter

We study theoretically the distributions of charge and spin polarization of a topological insulator ribbon, with a realistic rectangular cross section. Due to constriction in two lateral directions, the surface states discretize into a…

Materials Science · Physics 2011-12-13 Lei Hao , Peter Thalmeier , T. K. Lee

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

We study the surface resistivity of a three-dimensional topological insulator when the boundaries exhibit a non trivial curvature. We obtain an analytical solution for a spherical topological insulator, and we show that a non trivial…

Mesoscale and Nanoscale Physics · Physics 2011-06-27 V. Parente , P. Lucignano , P. Vitale , A. Tagliacozzo , F. Guinea

Fully gapped, spin singlet superconductors with antisymmetric spin-orbit coupling in a Zeeman magnetic field provide a promising route to realize superconducting states with non-Abelian topological order and therefore fault-tolerant quantum…

Superconductivity · Physics 2023-06-14 Peter Doak , Giovanni Balduzzi , Pontus Laurell , Elbio Dagotto , Thomas A. Maier

The transport length $l_\textrm{tr}$ and the mean free path $l_\textrm{e}$ are experimentally determined for bulk and surface states in a Bi$_2$Se$_3$ nanoribbon by quantum transport and transconductance measurements. We show that the…

Mesoscale and Nanoscale Physics · Physics 2024-06-12 J. Dufouleur , L. Veyrat , B. Dassonneville , C. Nowka , S. Hampel , P. Leksin , B. Eichler , O. G. Schmidt , B. Büchner , R. Giraud

By applying the conventional two-liquid model to the magnetoresistivity tensor, we reveal a record-high carrier mobility for surface states in tetradymite topological insulators ($\sim$ 20000 cm$^2$/Vs) in both bulk crystals and thin flakes…

Mesoscale and Nanoscale Physics · Physics 2025-11-20 M. V. Pugachev , A. E. Borisov , A. V. Shupletsov , V. O. Sakhin , E. F. Kukovitsky , A. Yu. Kuntsevich

By means of density functional theory based calculations, we study the role of spin-orbit coupling in the new family of ABC hyperferroelectrics [Phys. Rev. Lett. 112, 127601 (2014)]. We unveil an extremely rich physics strongly linked to…

Detection and manipulation of electrons' spins are key prerequisites for spin-based electronics or spintronics. This is usually achieved by contacting ferromagnets with metals or semiconductors, in which the relaxation of spins due to…

Materials Science · Physics 2014-11-05 Y. Shiomi , K. Nomura , Y. Kajiwara , K. Eto , M. Novak , Kouji Segawa , Yoichi Ando , E. Saitoh

Topological insulators are characterized by an inverted band structure in the bulk and metallic surface states on the surface. In LaBi, a semimetal with a band inversion equivalent to a topological insulator, we observe surface state like…

Resolving the conductance of the topological surface states (TSSs) from the bulk contribution has been a great challenge for studying the transport property of topological insulators. By developing a non-purturbative diffusion equation that…

Mesoscale and Nanoscale Physics · Physics 2013-10-18 Xin Liu , Jairo Sinova

We present low-temperature magnetotransport measurements on selectively-grown Sb$_2$Te$_3$-based topological insulator ring structures. These topological insulator ring geometries display clear Aharonov-Bohm oscillations in the conductance…

We detected the spin polarization due to charge flow in the spin non-degenerate surface state of a three dimensional topological insulator by means of an all-electrical method. The charge current in the bulk-insulating topological insulator…