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We develop an analytical theory for edge states in monolayers of transition metal dichalcogenides based on a general boundary condition for a two-band ${\bf kp}$-Hamiltonian in case of uncoupled valleys. Taking into account {\it edge}…

Mesoscale and Nanoscale Physics · Physics 2017-12-22 V. V. Enaldiev

We calculate electronic states on a closed cylindrical surface as a model of a core-shell nanowire. The length of the cylinder can be infinite or finite. We define cardinal points on the circumference of the cylinder and consider a…

Mesoscale and Nanoscale Physics · Physics 2013-11-15 Andrei Manolescu , Tomas Orn Rosdahl , Sigurdur Erlingsson , Llorens Serra , Vidar Gudmundsson

We calculate the frequency dependent spin susceptibilities for a two-dimensional electron gas with both Rashba and Dresselhaus spin-orbit interaction. The resonances of the susceptibilities depends on the relative values of the Rashba and…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Sigurdur I. Erlingsson , John Schliemann , Daniel Loss

The theory of spin drift and diffusion in two-dimensional electron gases is developed in terms of a random walk model incorporating Rashba, linear and cubic Dresselhaus, and intersubband spin-orbit couplings. The additional subband degree…

Mesoscale and Nanoscale Physics · Physics 2017-03-20 Gerson J. Ferreira , Felix G. G. Hernandez , Patrick Altmann , Gian Salis

We derive boundary conditions for the electrically induced spin accumulation in a finite, disordered 2D semiconductor channel. While for DC electric fields these boundary conditions select spatially constant spin profiles equivalent to a…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Mathias Duckheim , Dmitrii L. Maslov , Daniel Loss

We are interested in the spectral properties of the magnetic Schr\"odinger operator $H_\varepsilon$ in a domain $\Omega \subset \mathbb{R}^2$ with compact boundary and with magnetic field of intensity $\varepsilon^{-2}$. We impose Dirichlet…

Analysis of PDEs · Mathematics 2020-09-07 Arianna Giunti , Juan J. L. Velázquez

We report on spatially resolved measurements of the spin-orbit effective magnetic field in a GaAs/InGaAs quantum-well. Biased gate electrodes lead to an electric-field distribution in which the quantum-well electrons move according to the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 L. Meier , G. Salis , E. Gini , I. Shorubalko , K. Ensslin

We investigate the formation of edge states in graphene ribbons and flakes with proximity induced valley-Zeeman and Rashba spin-orbit couplings in the presence of a perpendicular magnetic field $B$. Two types of edges states appear in the…

Mesoscale and Nanoscale Physics · Physics 2022-06-07 Yaroslav Zhumagulov , Tobias Frank , Jaroslav Fabian

We obtain analytic formulas for the frequency-dependent spin-Hall conductivity of a two-dimensional electron gas (2DEG) in the presence of impurities, linear spin-orbit Rashba interaction, and external magnetic field perpendicular to the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 E. M. Hankiewicz , G. Vignale

The intrinsic spin-Hall effect on spin accumulation and electric conductance in a diffusive regime of a 2D electron gas has been studied for a 2D strip of a finite width. It is shown that the spin polarization near the flanks of the strip,…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 A. G. Mal'shukov , L. Y. Wang , C. S. Chu , K. A. Chao

Larmor's theorem holds for magnetic systems that are invariant under spin rotation. In the presence of spin-orbit coupling this invariance is lost and Larmor's theorem is broken: for systems of interacting electrons, this gives rise to a…

Mesoscale and Nanoscale Physics · Physics 2017-07-12 Shahrzad Karimi , Florent Baboux , Florent Perez , Carsten A. Ullrich , Grzegorz Karczewski , Tomasz Wojtowicz

We characterize the role of the spin-orbit coupling between electrons and the confining potential of the edge in nonequilibrium 2D homogeneous electronic gas. We derive a simple analytical result for the magnitude of the current induced…

Mesoscale and Nanoscale Physics · Physics 2011-03-18 Peter Bokes , Frantisek Horvath

The interplay of magnetism and superconductivity can lead to intriguing emergent phenomena. Here we combine two different two-dimensional antiferromagnetic magnet-superconductor hybrids (MSH) and study their properties using spin-polarized…

In the presence of extrinsic Rashba spin-orbit coupling, we find that silicene can host a new quantum anomalous Hall state with spin- and valley-polarized edge states, which can be effectively controlled by the exchange field and electric…

Mesoscale and Nanoscale Physics · Physics 2015-10-21 Zhiming Yu , Hui Pan , Yugui Yao

A persistent spin helix (PSH) in spin-orbit-coupled two-dimensional electron systems was recently predicted to exist in two cases: [001] quantum wells (QWs) with equal coupling strengths of the Rashba and the Dresselhaus interactions (RD),…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Ming-Hao Liu , Kuo-Wei Chen , Son-Hsien Chen , Ching-Ray Chang

Dynamic response of two-dimensional electron systems with spin-orbit interaction is studied theoretically on the basis of quantum kinetic equation, taking into account elastic scattering of electrons. The spin polarization and spin current…

Mesoscale and Nanoscale Physics · Physics 2007-06-19 O. E. Raichev

Spin textures of one or two electrons in a quantum dot with Rashba or Dresselhaus spin-orbit couplings reveal several intriguing properties. We show that even at the single-electron level spin vortices with different topological charges…

Mesoscale and Nanoscale Physics · Physics 2019-01-25 Wenchen Luo , Amin Naseri , Jesko Sirker , Tapash Chakraborty

We study the lifetime of the persistent spin helix in semiconductor quantum wells with equal Rashba- and linear Dresselhaus spin-orbit interactions. In order to address the temperature dependence of the relevant spin relaxation mechanisms…

Mesoscale and Nanoscale Physics · Physics 2013-02-19 Matthias C. Lüffe , Janik Kailasvuori , Tamara S. Nunner

In this note, we show that the latest spin grating measurement of spin helix by Koralek {\em et al.} [Nature {\bf 458}, 610 (2009)] provides strong evidence of the infinite spin diffusion length of any spin polarization along the direction…

Materials Science · Physics 2009-10-28 K. Shen , M. W. Wu

We study the spin polarization of mixed and entangled electron states in a four probe/beam splitter geometry with local Rashba and Dresselhaus interactions. A pair of maximally entangled electrons collides with the beam splitter and enters…

Quantum Physics · Physics 2012-12-04 Luis A. González-Árraga , Bertrand Berche , Ernesto Medina