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Topological states of matter have attracted a lot of attention due to their many intriguing transport properties. In particular, two-dimensional topological insulators (2D TI) possess gapless counter propagating conducting edge channels,…

Mesoscale and Nanoscale Physics · Physics 2019-10-11 G. M. Gusev , Z. D Kvon , E. B. Olshanetsky , N. N. Mikhailov

The lifetime of electrons on edge states of a two-dimensional topological insulator against the background of an allowed two-dimensional band has been determined. It has been shown that this time in the case of scattering on Coulomb…

Mesoscale and Nanoscale Physics · Physics 2019-06-26 M. M. Mahmoodian , M. V. Entin

Two-dimensional (2D) topological electronic insulators are known to give rise to gapless edge modes, which underlie low energy dynamics, including electrical and thermal transport. This has been thoroughly investigated in the context of…

Mesoscale and Nanoscale Physics · Physics 2022-05-10 Udit Khanna , Yuval Gefen , Ora Entin-Wohlman , Amnon Aharony

Asymmetric electrical conductance is theoretically demonstrated on the surface of a topological insulator (TI) in the limit of infinitesimally small forward and reverse biases between two spin selective electrodes. The discontinuous…

Mesoscale and Nanoscale Physics · Physics 2015-09-16 Xiaopeng Duan , Xi-Lai Li , Yuriy G. Semenov , Ki Wook Kim

Features of a topological phase, and edge states in particular, may be obscured by overlapping in energy with a trivial conduction band. The topological nature of such a conductor, however, is revealed in its transport properties,…

Mesoscale and Nanoscale Physics · Physics 2013-12-10 Alexandra Junck , Kun W. Kim , Doron L. Bergman , T. Pereg-Barnea , Gil Refael

We study backscattering of electrons and conductance suppression in a helical edge channel in two-dimensional topological insulators with broken axial spin symmetry in the presence of nonmagnetic point defects that create bound states. In…

Mesoscale and Nanoscale Physics · Physics 2021-04-28 Vladimir A. Sablikov , Aleksei A. Sukhanov

Helical edge modes of 2D topological insulators are supposed to be protected from time-reversal invariant elastic backscattering. Yet substantial deviations from the perfect conductance are typically observed experimentally down to very low…

Mesoscale and Nanoscale Physics · Physics 2019-02-12 V. D. Kurilovich , P. D. Kurilovich , I. S. Burmistrov , M. Goldstein

Thermoelectric conductance of an edge mode is investigated. The edge modes of a $2D $ and $3D$ two band model with parabolic dispersion is considered. For the the one dimensional non interacting fermions the thermal conductivity computed…

Mesoscale and Nanoscale Physics · Physics 2019-06-21 D. Schmeltzer

The spin conductance of two-dimensional topological insulators (2D TIs) is not expected to be quantized in the presence of perturbations that break the spin-rotational symmetry. However, the deviation from the pristine-limit quantization…

Mesoscale and Nanoscale Physics · Physics 2022-03-28 Justin Copenhaver , Jukka I. Väyrynen

Two-dimensional topological insulators are characterized by gapped bulk states and gapless helical edge states, i.e. time-reversal symmetric edge states accommodating a pair of counter-propagating electrons. An external magnetic field…

Mesoscale and Nanoscale Physics · Physics 2012-04-02 G. Tkachov , E. M. Hankiewicz

We study the properties of a line junction which separates the surfaces of two three-dimensional topological insulators. The velocities of the Dirac electrons on the two surfaces may be unequal and may even have opposite signs. For a time…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Diptiman Sen , Oindrila Deb

The 2D TI edge states are considered within the Volkov-Pankratov (VP) Hamiltonian. A smooth transition between TI and OI is assumed. The edge states are formed in the total gap of homogeneous 2D material. A pair of these states are of…

Mesoscale and Nanoscale Physics · Physics 2021-01-14 M. M. Mahmoodian , M. V. Entin

Transport in an ideal two-dimensional quantum spin Hall device is dominated by the counterpropagating edge states of electrons with opposite spins, giving the universal value of the conductance, $2e^2/h$. We study the effect on the…

Mesoscale and Nanoscale Physics · Physics 2011-06-14 Yoichi Tanaka , A. Furusaki , K. A. Matveev

We consider thermoelectric transport properties of the edge states of a two dimensional topological insulator in a double quantum point contact geometry coupled to two thermally biased reservoirs. Both spin-preserving and spin-flipping…

Mesoscale and Nanoscale Physics · Physics 2016-04-13 Flavio Ronetti , Luca Vannucci , Giacomo Dolcetto , Matteo Carrega , Maura Sassetti

Magnetic impurities with sufficient anisotropy could account for the observed strong deviation of the edge conductance of 2D topological insulators from the anticipated quantized value. In this work we consider such a helical edge coupled…

Mesoscale and Nanoscale Physics · Physics 2020-09-30 B. V. Pashinsky , M. Goldstein , I. S. Burmistrov

A two-dimensional topological insulator (2DTI) has an insulating bulk and helical spin-polarised edge modes robust to backscattering by non-magnetic disorder. While ballistic transport has been demonstrated in 2DTIs over short distances,…

Mesoscale and Nanoscale Physics · Physics 2020-09-17 Chang Liu , Dimitrie Culcer , Mark T. Edmonds , Michael S. Fuhrer

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

Despite topological protection and the absence of magnetic impurities, two-dimensional topological insulators display quantized conductance only in surprisingly short channels, which can be as short as 100 nm for atomically thin materials.…

Mesoscale and Nanoscale Physics · Physics 2019-01-08 Pietro Novelli , Fabio Taddei , Andre K. Geim , Marco Polini

Topological insulators exhibit gapless edge or surface states that are topologically protected by time-reversal symmetry. However, several promising candidates for topologically insulating materials (such as Bi$_2$Se$_3$ and HgTe) contain…

Mesoscale and Nanoscale Physics · Physics 2018-07-11 Arian Vezvaee , Antonio Russo , Sophia E. Economou , Edwin Barnes

We consider a 2D ballistic and quasi-ballistic structures with spin-orbit-related splitting of the electron spectrum. The ballistic region is attached to the leads with a voltage applied between them. We calculate the edge spin density…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Alexander Khaetskii , Eugene Sukhorukov
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