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We consider quantum spin Hall effect in an anisotropic strip of stripes and address both integer and fractional filling factors. The first model is based on a gradient of spin-orbit interaction in the direction perpendicular to the stripes.…

Mesoscale and Nanoscale Physics · Physics 2014-10-01 Jelena Klinovaja , Yaroslav Tserkovnyak

We propose a physical mechanism to generate and selectively amplify anisotropic Rudermann-Kittel-Kasuya-Yosida (RKKY) interactions between two local spins. The idea is to combine the deflection of the carrier velocity by a P-N interface and…

Mesoscale and Nanoscale Physics · Physics 2019-06-05 Shu-Hui Zhang , Jia-Ji Zhu , Wen Yang , Kai Chang

We demonstrate that the magnetization in magnetic semiconductors exhibits nutational motion when subjected to an external magnetic field. This behavior originates from the splitting of the conduction-electron band which induces anisotropic,…

Materials Science · Physics 2025-01-09 H. Kachkachi

We theoretically study tunneling of Cooper pairs from a superconductor spanning a two-dimensional topological insulator strip into its helical edge states. The coherent low-energy electron-pair tunneling sets off positive current cross…

Mesoscale and Nanoscale Physics · Physics 2010-12-06 Koji Sato , Daniel Loss , Yaroslav Tserkovnyak

We consider a helical system of fermions with a generic spin (or pseudospin) orbit coupling. Using the equation of motion approach for the single-particle distribution functions, and a mean-field decoupling of the higher order distribution…

Strongly Correlated Electrons · Physics 2017-12-13 Moslem Mir , Saeed H. Abedinpour

We investigate the Hubbard model with the Rashba spin-orbit coupling on a square lattice. The Rashba spin-orbit coupling generates two-dimensional Weyl points in the band dispersion. In a system with edges along [11] direction, zero-energy…

Strongly Correlated Electrons · Physics 2024-01-24 Katsunori Kubo

We have investigated magnetic interactions between transition metal ions in bismuthene topological insulator with protected edge states. We find that these topological states have a crucial role on the magnetic interactions in 2D…

Materials Science · Physics 2023-03-23 Emmanuel V. C. Lopes , E. Vernek , Tome M. Schmidt

Spin orbit coupling changes graphene, in principle, into a two-dimensional topological insulator, also known as quantum spin Hall insulator. One of the expected consequences is the existence of spin-filtered edge states that carry…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 D. Gosálbez-Martínez , D. Soriano , J. J. Palacios , J. Fernández-Rossier

We experimentally investigate spin-polarized electron transport between a permalloy ferromagnet and the edge of a two-dimensional electron system with band inversion, realized in a narrow, 8~nm wide HgTe quantum well. In zero magnetic…

Mesoscale and Nanoscale Physics · Physics 2016-09-02 A. Kononov , S. V. Egorov , Z. D. Kvon , N. N. Mikhailov , S. A. Dvoretsky , E. V. Deviatov

We investigate the formation and transport properties of chiral Andreev edge states in a two-dimensional quantum Hall system proximitized by a superconductor. By numerically modeling the system using the Bogoliubov-de Gennes equations, we…

Mesoscale and Nanoscale Physics · Physics 2026-05-19 S. Maji , M. P. Nowak

We study the effect of bias voltage on the nuclear spin polarization of a ballistic wire, which contains electrons and nuclei interacting via hyperfine interaction. In equilibrium, the localized nuclear spins are helically polarized due to…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Viktoriia Kornich , Peter Stano , Alexander A. Zyuzin , Daniel Loss

We derive compact analytical expressions for the coupled spin-charge susceptibility of a clean helical metal at the surface of a three dimensional topological insulator (TI). These expressions lead to unconventional non-collinear RKKY…

Strongly Correlated Electrons · Physics 2015-05-18 Ion Garate , M. Franz

We study the hyperfine interaction between the nuclear spins and the electrons in a HgTe quantum well, which is the prime experimentally realized example of a two-dimensional topological insulator. The hyperfine interaction is a naturally…

Mesoscale and Nanoscale Physics · Physics 2013-09-06 Anders Mathias Lunde , Gloria Platero

We re-express the Rashba and Dresselhaus interactions as non-Abelian spin-orbit gauges and provide a new perspective in understanding the persistent spin helix [Phys. Rev. Lett. 97, 236601 (2006)]. A spin-orbit interacting system can be…

Mesoscale and Nanoscale Physics · Physics 2008-03-21 Son-Hsien Chen , Ching-Ray Chang

The edge states of the recently proposed quantum spin Hall systems constitute a new symmetry class of one-dimensional liquids dubbed the ``helical liquid'', where the spin orientation is determined by the direction of electron motion. We…

Other Condensed Matter · Physics 2007-05-23 Congjun Wu , B. Andrei Bernevig , Shou-Cheng Zhang

Two spatially separated magnetic impurities coupled to itinerant electrons give rise to a dynamically generated exchange (RKKY) inter-impurity interaction that competes with the individual Kondo screening of the impurities. It has been…

Strongly Correlated Electrons · Physics 2023-09-04 Pol Alonso-Cuevillas Ferrer , Oleg M. Yevtushenko , Andreas Weichselbaum

We study the Kondo lattice model of band electrons coupled to classical spins, in three dimensions, using a combination of variational calculation and Monte Carlo. We use the weak coupling `RKKY' window and the strong coupling regime as…

Strongly Correlated Electrons · Physics 2009-11-13 Kalpataru Pradhan , Pinaki Majumdar

Edge states in the integral quantum Hall effect on a lattice are reviewed from a topological point of view. For a system with edges which is realized inevitably in an experimental situation, the Hall conductance $\sigma_{xy}$ is given by a…

Condensed Matter · Physics 2007-05-23 Yasuhiro Hatsugai

Motivated by a recent experiment (Sanchez-Yamagishi et.al, arXiv:1602.06815) reporting evidence of helical spin-polarized edge states in layer-biased twisted bilayer graphene under a magnetic flux, we study the possibility of stabilising a…

Mesoscale and Nanoscale Physics · Physics 2017-07-13 F. Finocchiaro , F. Guinea , P. San-Jose

We study the many-body instabilities of correlated electrons on the half-filled honeycomb lattice with enhanced exchange coupling. The system is described by an extended Hubbard model including the next-nearest-neighbor Coulomb repulsion…

Strongly Correlated Electrons · Physics 2023-03-21 Ye-Un An , Song-Jin O , Kwang-Il Ryom , Il-Gwang Son