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We develop a continuum theory to model low energy excitations of a generic four-band time reversal invariant electronic system with boundaries. We propose a variational energy functional for the wavefunctions which allows us derive natural…

介观与纳米尺度物理 · 物理学 2012-07-31 Amal Medhi , Vijay B. Shenoy

The light absorption due to the transitions between the edge and two-dimensional (2D) states of a 2D topological insulator (TI) is considered in the Volkov-Pankratov model. It is shown that the transitions are allowed only for the in-plane…

介观与纳米尺度物理 · 物理学 2017-10-27 M. M. Mahmoodian , L. I. Magarill , M. V. Entin

A three-dimensional weak topological insulator (WTI) can be regarded as stacked layers of two-dimensional quantum spin-Hall insulators, each of which accommodates a one-dimensional helical edge mode. Massless Dirac electrons emerge on a…

介观与纳米尺度物理 · 物理学 2016-03-23 Takashi Arita , Yositake Takane

Magnetic topological insulators (MTIs) host topologically protected edge states, but the role that these edge states play in electronic transport remains unclear. Using scanning superconducting quantum interference device (SQUID)…

介观与纳米尺度物理 · 物理学 2025-01-22 G. M. Ferguson , Run Xiao , Anthony R. Richardella , Austin Kaczmarek , Nitin Samarth , Katja C. Nowack

We study nondegenerate flat bands at the surfaces of noncentrosymmetric topological superconductors by exact diagonalization of Bogoliubov-de Gennes Hamiltonians. We show that these states are strongly spin polarized, and acquire a chiral…

超导电性 · 物理学 2013-08-21 Andreas P. Schnyder , Carsten Timm , P. M. R. Brydon

We study two-dimensional bosonic and fermionic lattice systems under nonequilibrium conditions corresponding to a sharp gradient of temperature imposed by two thermal baths. In particular, we consider a lattice model with broken…

量子物理 · 物理学 2022-04-15 Mark T. Mitchison , Ángel Rivas , Miguel A. Martin-Delgado

The low-energy band-structure of electrons propagating on a lateral surface of a heterostructure consisting of three dimensional topological insulator (TI) and magnetic insulator layers has been calculated. The energy spectrum is highly…

介观与纳米尺度物理 · 物理学 2015-06-22 A. G. Mal'shukov

The theoretical analysis of topological insulators (TIs) has been traditionally focused on infinite homogeneous crystals with band gap in the bulk and nontrivial topology of their wavefunctions, or infinite wires whose boundaries host…

介观与纳米尺度物理 · 物理学 2020-09-21 Utkarsh Bajpai , Mark J. H. Ku , Branislav K. Nikolic

We show that bulk free carriers in topologically trivial multi-valley insulators with non-vanishing Berry curvature give rise to low-dissipation edge currents, which are squeezed within a distance of the order of the valley diffusion length…

介观与纳米尺度物理 · 物理学 2019-06-12 Justin C. W. Song , Giovanni Vignale

Quantum spin Hall edge transport in two-dimensional transition-metal dichalcogenides depends on whether their one-dimensional edge channels are preserved under realistic substrates and device boundaries. Here we implement spin-orbit…

介观与纳米尺度物理 · 物理学 2025-08-19 Wei Li , Pier Philipsen , Thomas Brumme , Thomas Heine

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,…

介观与纳米尺度物理 · 物理学 2019-10-11 G. M. Gusev , Z. D Kvon , E. B. Olshanetsky , N. N. Mikhailov

Robustness of helical edge states in 2D topological insulators (TI) against strong interactions remains an intriguing issue. Here, by performing the first sign-free quantum Monte Carlo (QMC) simulation of the Kane-Mele-Hubbard-Rashba model…

强关联电子 · 物理学 2017-12-13 Zi-Xiang Li , Hong Yao

The Letter is analyzing bulk spin (moment) currents and spin (moment) accumulation at edges of a 2D topological insulator taking into account reflection from edges. Accumulation occurs only at edge states, which distinguish topological…

介观与纳米尺度物理 · 物理学 2015-05-19 E. B. Sonin

Topological states of matter are robust quantum phases, characterised by propagating or localised edge states in an insulating bulk. Topological boundary states can be triggered by various mechanisms, for example by strong spin-orbit…

介观与纳米尺度物理 · 物理学 2020-07-01 S. E. Freeney , J. J. van den Broeke , A. J. J. Harsveld van der Veen , I. Swart , C. Morais Smith

The helical edge states of time-reversal invariant two-dimensional topological insulators are protected against backscattering in idealized models. In more realistic scenarios with a shallow confining potential at the sample boundary,…

介观与纳米尺度物理 · 物理学 2022-11-09 Niels John , Adrian Del Maestro , Bernd Rosenow

A quantum spin Hall insulator hosts topological states at the one-dimensional edge, along which backscattering by nonmagnetic impurities is strictly prohibited and dissipationless current flows. Its 3D analogue, a weak topological insulator…

Topology in condensed matter physics manifests itself in the emergence of edge or surface states protected by underlying symmetries. We review two-dimensional topological insulators whose one-dimensional edge states are characterized by…

介观与纳米尺度物理 · 物理学 2016-03-01 Giacomo Dolcetto , Maura Sassetti , Thomas L. Schmidt

We study in-gap electronic states induced by a nonmagnetic defect with short-range potential in two-dimensional topological insulators and trace their evolution as the distance between the defect and the boundary changes. The defect located…

介观与纳米尺度物理 · 物理学 2015-02-13 Vladimir A. Sablikov , Aleksei A. Sukhanov

The counterpropagating edge states of a two-dimensional topological insulator (TI) carry electrons of opposite spins. We investigate the transport properties of edge states in a two-dimensional TI which is contacted to ferromagnetic leads.…

介观与纳米尺度物理 · 物理学 2012-09-25 Yuan Li , M. B. A. Jalil , Seng Ghee Tan , GuangHui Zhou

The topological insulators have a gap in the bulk but extended states at the edge that can carry current. We study a geometry in which such edge states will manifest themselves through periodic oscillations in the magnetoconductance of a…

介观与纳米尺度物理 · 物理学 2009-09-19 Rui-Lin Chu , Jian Li , J. K. Jain , Shun-Qing Shen