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We show that the spin Hall conductivity in insulators is related with a magnetic susceptibility representing the strength of the spin-orbit coupling. We use this relationship as a guiding principle to search real materials showing quantum…

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

We propose an approach based on a generalized quantum mechanics to deal with the basic features of the intrinsic spin Hall effect. This can be done by considering two decoupled harmonic oscillators on the noncommutative plane and evaluating…

High Energy Physics - Theory · Physics 2011-04-28 Ahmed Jellal , Rachid Houca

During the last years there has been much interest, and theoretical discussion, about the possibility to use spin-orbit coupling to control the carriers spins in two-dimensional semiconducting heterostructures. Spin polarization at the…

Mesoscale and Nanoscale Physics · Physics 2024-12-31 A. A. Reynoso , G. Usaj , C. A. Balseiro

For certain non-magnetic solids with low symmetry the occurrence of spin-polarized longitudinal currents is predicted. These arise due to an interplay of spin-orbit interaction and the particular crystal symmetry. This result is derived…

Mesoscale and Nanoscale Physics · Physics 2015-07-08 S. Wimmer , M. Seemann , K. Chadova , D. Ködderitzsch , H. Ebert

We demonstrate experimentally and theoretically that two-dimensional (2D) heavy hole systems in single heterostructures exhibit a \emph{decrease} in spin-orbit interaction-induced spin splitting with an increase in perpendicular electric…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 B. Habib , E. Tutuc , S. Melinte , M. Shayegan , D. Wasserman , S. A. Lyon , R. Winkler

The spin Hall effect in two dimensional hole systems is studied by using the four-terminal Landauer-B\"{u}ttiker formula with the help of Green functions. The spin Hall effect exists even when there are {\em not} any correlations between…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. W. Wu , J. Zhou

In this paper we theoretically investigate the photonic spin Hall effect (SHE) of a Gaussian beam reflected from the interface between air and topological insulators (TIs). The photonic SHE is attributed to spin-orbit coupling and manifests…

Optics · Physics 2015-06-17 Xinxing Zhou , Jin Zhang , Xiaohui Ling , Shizhen Chen , Hailu Luo , Shuangchun Wen

The intrinsic spin Hall conductance shows rich sign changes by applying a perpendicular magnetic field in a two-dimensional hole gas. Especially, a notable sign changes can be achieved by adjusting the characteristic length of the Rashba…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Tianxing Ma , Qin Liu

An analytical approach to calculation of the conductivity tensor, $\sigma$, of a two-dimensional (2D) electron system with Rashba spin-orbit interaction (SOI) in an orthogonal magnetic field is proposed. The electron momentum relaxation is…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. G. Novokshonov , A. G. Groshev

A general expression for the spin Hall conductivity (SHC) in the s-wave superconducting state at finite temperatures is derived. Based on the expression, we study the SHC in a two-dimensional electron gas model in the presence of Rashba…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 H. Kontani , J. Goryo , D. S. Hirashima

A two dimensional hopping system with Rashba spin-orbit interaction is considered. Our main interest is concerned with the evolution of the spin degree of freedom of the electrons. We derive the rate equations governing the evolution of the…

Condensed Matter · Physics 2009-11-10 T. Damker , H. Boettger , V. V. Bryksin

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

In order to investigate whether space coordinates are intrinsically noncommutative, we make use of the Hall effect on the two-dimensional plane. We calculate the Hall conductivity in such a way that the noncommutative U(1) gauge invariance…

High Energy Physics - Theory · Physics 2007-05-23 Akira Kokado , Takashi Okamura , Takesi Saito

We investigate the planar Hall effect (PHE) in two-dimensional (2D) superconductors with spin-orbit interactions, where transport anisotropy is induced by an in-plane magnetic field. While PHE typically arises from the breaking of basal…

Superconductivity · Physics 2024-07-31 L. Attias , K. Michaeli , M. Khodas

At low temperatures the phase diagram for the quantum Hall effect has a powerful symmetry arising from the Law of Corresponding States. This symmetry gives rise to an infinite order discrete group which is a generalisation of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Brian P. Dolan

Magneto-oscillations in two-dimensional systems with spin-orbit interaction are typically characterized by fast Shubnikov-de~Haas (SdH) oscillations and slower spin-orbit-related beatings. The characterization of the full SdH oscillatory…

Mesoscale and Nanoscale Physics · Physics 2024-05-24 Hamed Gramizadeh , Denis R. Candido , Andrei Manolescu , J. Carlos Egues , Sigurdur I. Erlingsson

We investigate the intrinsic spin Hall effect in a quantum well semiconductor doped with magnetic impurities, as a means to manipulate the carriers' spin. Using a simple Hamiltonian with Rashba spin-orbit coupling and exchange interactions,…

Mesoscale and Nanoscale Physics · Physics 2014-04-22 T. L. van den Berg , L. Raymond , A. Verga

Spin-orbit (SO) interactions give a spin-dependent correction r_so to the position operator, referred to as the anomalous position operator. We study the contributions of r_so to the spin-Hall effect (SHE) in quasi two-dimensional (2D)…

Mesoscale and Nanoscale Physics · Physics 2013-07-31 Xintao Bi , Peiru He , E. M. Hankiewicz , R. Winkler , Giovanni Vignale , Dimitrie Culcer

By considering N_e-electrons and N_h-holes together in uniform external magnetic and electric fields, we end up with a total Hall conductivity \sigma_{H}^{tot}, which is depending to the difference between N_e and N_h and becomes null when…

High Energy Physics - Theory · Physics 2007-05-23 Ahmed Jellal

We consider a 2-dimensional Bloch--Landau--Pauli Hamiltonian for a spinful electron in a constant magnetic field subject to a periodic background potential. Assuming that the $z$-component of the spin operator is conserved, we compute the…

Mathematical Physics · Physics 2023-02-06 Domenico Monaco , Massimo Moscolari
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