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Using canonical transformations we diagonalize approximately the Hamiltonian of a gaussian wire with Rashba spin-orbit interaction. This proceedure allows us to obtain the energy dispersion relations and the wavefunctions with good…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. I. Erlingsson , J. C. Egues , D. Loss

In this work, we present the analytical solution of the effective mass Pauli equation, with Rashba and linear Dresselhaus interactions, for an electron gas moving through a semiconductor quantum dot under a longitudinal electric field,…

Mesoscale and Nanoscale Physics · Physics 2012-02-28 J. L. Cardoso

We analyze the dynamics of the helical edge modes of a quantum spin Hall state in the presence of a spatially non-uniform Rashba spin-orbit (SO) interaction. A randomly fluctuating Rashba SO coupling is found to open a scattering channel…

Mesoscale and Nanoscale Physics · Physics 2010-07-01 Anders Ström , Henrik Johannesson , G. I. Japaridze

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 study theoretically the spin-Hall effect as well as its reciprocal phenomenon (a transverse charge current driven by a spin-dependent chemical potential gradient) in electron and hole finite size mesoscopic systems. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 E. M. Hankiewicz , Jian Li , Tomas Jungwirth , Qian Niu , Shun-Qing Shen , Jairo Sinova

Based on a rigorous quantum-kinetic approach, spin-charge coupled drift-diffusion equations are derived for a strongly confined two-dimensional hole gas. An electric field leads to a coupling between the spin and charge degrees of freedom.…

Statistical Mechanics · Physics 2009-11-13 P. Kleinert , V. V. Bryksin

We demonstrate how the Rashba spin-orbit coupling in semiconductor heterostructures can produce and control a spin-polarized current without ferromagnetic leads. Key idea is to use spin-double refraction of an electronic beam with a nonzero…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. Marigliano Ramaglia , D. Bercioux , V. Cataudella , G. De Filippis , C. A. Perroni

We introduce the concept of bond spin current, which describes the spin transport between two sites of the lattice model of a multiterminal spin-orbit (SO) coupled semiconductor nanostructure, and express it in terms of the spin-dependent…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Branislav K. Nikolic , Liviu P. Zarbo , Satofumi Souma

The intrinsic spin-Hall effect in hexagon-shaped samples is investigated. To take into account the spin-orbit couplings and to fit the hexagon edges, we derive the triangular version of the tight-binding model for the linear Rashba [Sov.…

Mesoscale and Nanoscale Physics · Physics 2007-08-16 Son-Hsien Chen , Ming-Hao Liu , Ching-Ray Chang

It is shown that spin Hall effect creates uniform spin polarization of electrons in semiconductor with a linear in the momentum spin splitting of conduction band. In turn, the profile of the non-uniform spin polarization accumulated at the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. L. Korenev

We study the spin-charge coupled transport in a two-dimensional electron system using the method of quasiclassical ($\xi$-integrated) Green's functions. In particular we derive the Eilenberger equation in the presence of a generic…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Roberto Raimondi , Cosimo Gorini , Peter Schwab , Michael Dzierzawa

In metallic systems with spin-orbit coupling a longitudinal charge current may generate a transverse pure spin current; vice-versa an injected pure spin current may result in a transverse charge current. Such direct and inverse spin Hall…

Mesoscale and Nanoscale Physics · Physics 2022-12-23 Cosimo Gorini

We theoretically study the direct and inverse spin Hall effects in a superconductor-normal metal-superconductor junction induced by a spin-orbit interaction that is invariant under spatial inversion. We show that a supercurrent induces a…

Mesoscale and Nanoscale Physics · Physics 2026-04-17 Gen Tatara , Yositake Takane , Aurelien Manchon

Coupled spin-charge drift-diffusion equations are derived for a biased two-dimensional electron gas with weak Rashba spin-orbit interaction. The basic equations formally agree with recent results obtained for spin-orbit coupled small…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. V. Bryksin , P. Kleinert

We report on numerical simulations of the intrinsic spin Hall effect in semiconductor quantum wires as a function of the Rashba spin-orbit coupling strength, the electron density, and the width of the wire. We find that the strength of the…

Mesoscale and Nanoscale Physics · Physics 2014-03-18 A. W. Cummings , R. Akis , D. K. Ferry

We describe an intrinsic spin-Hall effect in $n$-type bulk zinc-blende semiconductors with topological origin. When electron transport is confined to a waveguide structure, and the applied electric field is such that the spins of electrons…

Mesoscale and Nanoscale Physics · Physics 2009-09-25 T. Fujita , M. B. A. Jalil , S. G. Tan

A brief review is given on the spin Hall effect, where an external electric field induces a transverse spin current. It has been recognized over 30 years that such effect occurs due to impurities in the presence of spin-orbit coupling.…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Shuichi Murakami

The spin Hall effect is investigated in a high mobility two dimensional electron system with the spin-orbital coupling of both the Rashba and the Dresselhaus types. A spin current perpendicular to the electric field is generated by either…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Shun-Qing Shen

Magneto-transport properties of a two-dimensional electron gas in a chain of planar quantum rings are investigated under the Rashba spin-orbit interaction and a transverse homogeneous magnetic field. A modulation potential function models…

Mesoscale and Nanoscale Physics · Physics 2025-07-30 Armen Harutyunyan

We theoretically investigate a two-dimensional harmonically-trapped gas of identical atoms with Rashba spin-orbit coupling and no interatomic interactions. In analogy with the spin Hall effect in uniform space, the gas exhibits a spin Hall…

Quantum Gases · Physics 2017-11-28 J. Armaitis , J. Ruseckas , H. T. C. Stoof , R. A. Duine
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