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Electrical currents in a quantum spin Hall insulator are confined to the boundary of the system. The charge carriers can be described as massless relativistic particles, whose spin and momentum are coupled to each other. While the helical…

We study effects of a gate-controlled Rashba spin-orbit coupling to quantum spin-Hall edge states in HgTe quantum wells. A uniform Rashba coupling can be employed in tuning the spin orientation of the edge states while preserving the…

Mesoscale and Nanoscale Physics · Physics 2011-07-21 Jukka I. Väyrynen , Teemu Ojanen

We study Aharonov-Bohm effect in a two-terminal helical ring with long-range hopping in presence of Rashba spin-orbit interaction. We explore how the spin polarization behavior changes depending on the applied magnetic flux and the incoming…

Mesoscale and Nanoscale Physics · Physics 2016-11-11 Paramita Dutta , Arijit Saha , A. M. Jayannavar

When a circular ring suffers a special topological transformation, it becomes a two-layer ring. Due to the special topology of the two-layer ring, orbital angular momenta are allowed to be a half-integer, this would affect the traditional…

Other Condensed Matter · Physics 2010-01-10 Yanzhang He , Chengguang Bao

The low energy sector of 2D and 3D topological insulators (TIs) exhibits propagating edge states, which has speculated the existence of equilibrium edge currents or edge spin currents. We demonstrate that if the low energy sector of TIs is…

Mesoscale and Nanoscale Physics · Physics 2020-05-14 Wei Chen

We derive a model of localized edge states in the finite width strip for two-dimensional electron gas formed in the hybrid system of bismuth monolayer deposited on the silicon interface and described by the nearly-free electron model with…

Mesoscale and Nanoscale Physics · Physics 2014-04-09 D. V. Khomitsky , A. A. Chubanov

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 investigate the conductance of an Aharonov-Bohm (AB) interferometer coupled to a quantum dot and two Majorana bound states on the edge of the topological superconductor with finite length. When the tunnel couplings between the Majorana…

Mesoscale and Nanoscale Physics · Physics 2014-08-27 Akiko Ueda , Takehito Yokoyama

We study the edge states in a two dimensional electron gas with a transverse magnetic field and Rashba spin-orbit coupling. In the bulk, the interplay between the external field perpendicular to the gas plane and the spin-orbit coupling…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Reynoso , Gonzalo Usaj , M. J. Sanchez , C. A. Balseiro

Linearity of the topological insulator edge state spectrum plays the crucial role for various transport phenomena. The previous studies found that this linearity exists near the spectrum crossing point, but did not determine how perfect the…

Mesoscale and Nanoscale Physics · Physics 2017-08-15 M. V. Entin , M. M. Mahmoodian , L. I. Magarill

We investigate a variant of the SSH model consisting of an SSH chain with an embedded Aharonov-Bohm quantum ring. The embedded ring gives rise to domain wall states whose energy levels are in the band gap. The dependence of some of the…

Other Condensed Matter · Physics 2022-09-08 A. P. Garrido , A. R. Plastino , M. L. Ladrón de Guevara , V. M. Apel

We report a theoretical study of electron spin resonance in bulk topological insulators, such as Bi2Se3, Bi2Te3 and Sb2Te3. Using the effective four-band model, we find the electron energy spectrum in a static magnetic field and determine…

Materials Science · Physics 2016-04-20 O. Ly , D. M. Basko

We investigate the influence of spin-orbit coupling in a non-centrosymmetric superconductor on its ground state properties near a surface. We determine the spectrum of Andreev bound states due to surface-induced mixing of bands with…

Superconductivity · Physics 2008-10-31 A. B. Vorontsov , I. Vekhter , M. Eschrig

We study the model of a noninteracting spinless electron gas confined to the two-dimensional localized surface of a cone in the presence of external magnetic fields. The localized region is characterized by an annular radial potential. We…

Mesoscale and Nanoscale Physics · Physics 2021-05-05 Luís Fernando C. Pereira , Fabiano M. Andrade , Cleverson Filgueiras , Edilberto O. Silva

We study the transport properties of a hybrid junction made of a ferromagnetic lead in electrical connection with the helical edge modes of a two-dimensional topological insulator. In this system, the time reversal symmetry, which…

Mesoscale and Nanoscale Physics · Physics 2020-11-30 Francesco Romeo

We study the spin texture of a generic helical liquid, the edge modes of a two-dimensional topological insulator with broken axial spin-symmetry. By considering honeycomb and square lattice realizations of topological insulators, we show…

Mesoscale and Nanoscale Physics · Physics 2015-06-10 Alexia Rod , Thomas L. Schmidt , Stephan Rachel

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

Two-dimensional higher-order topology is usually studied in (nearly) particle-hole symmetric models, so that an edge gap can be opened within the bulk one. But more often deviates the edge anticrossing even into the bulk, where corner…

Mesoscale and Nanoscale Physics · Physics 2022-12-07 Junjie Zeng , Chen Chen , Yafei Ren , Zheng Liu , Wei Ren , Zhenhua Qiao

We present a theory for spin selective Aharonov-Bohm oscillations in a lateral triple quantum dot. We show that to understand the Aharonov-Bohm (AB) effect in an interacting electron system within a triple quantum dot molecule (TQD) where…

Strongly Correlated Electrons · Physics 2010-03-11 F. Delgado , Y. -P. Shim , M. Korkusinski , L. Gaudreau , S. A. Studenikin , A. S. Sachrajda , P. Hawrylak

We study the topological properties of interacting and non-interacting bosons loaded in the orbital angular momentum states $l=1$ in a lattice of rings with alternating distances. At the single-particle level, the two circulation states…