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Changes dopant ion concentrations in the sides of a symmetric quantum well are known to create a random Rashba-type spin-orbit coupling. Here we demonstrate that, as a consequence, a finite size spin-Hall effect is also present. Our…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 C. P. Moca , D. C. Marinescu , S. Filip

We consider properties of a two-dimensional electron system in a random magnetic field. It is assumed that the magnetic field not only influences orbital electron motion but also acts on the electron spin. For calculations, we suggest a new…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Kazutaka Takahashi , K. B. Efetov

We present calculations of the conductivity tensor \sigma of a 2D-system with the Rashba spin-orbit interaction (SOI) in an orthogonal magnetic field, with allowance for electron elastic scattering by a Gaussian \delta-correlated random…

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

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

We present in this paper exact analytical expressions for the thermodynamical properties and Green functions of a certain family of fermionic Ising spin-glass models with Hubbard interaction, by noticing that their Hamiltonian is a function…

Disordered Systems and Neural Networks · Physics 2013-05-29 Isaac Pérez Castillo , David Sherrington

A nonequilibrium Green's functions approach to spin-Hall effect is developed in a diffusive two-dimensional electron system with Rashba spin-orbit interaction. In the presence of long-range impurities, the coupled quantum kinetic equations…

Materials Science · Physics 2007-05-23 S. Y. Liu , X. L. Lei

We formulate the dynamical mean field theory directly in the continuum. For a given definition of the local Green's function, we show the existence of a unique functional, whose stationary point gives the physical local Green's function of…

Strongly Correlated Electrons · Physics 2009-02-05 R. Chitra , G. Kotliar

Closed expression for the Green's function of the stationary two-dimensional Schrodinger equation for an electron in group-VI dichalcogenides in the presence of a magnetic field is obtained in terms of the Whittaker functions. The resulting…

Mesoscale and Nanoscale Physics · Physics 2016-12-14 Tomasz M Rusin , Wlodek Zawadzki

We derive a spin diffusion equation for a spin-orbit coupled two-dimensional electron gas including the Hartree-Fock field resulting from 1st order electron-electron interactions. We find that the lifetime of the persistent spin helix,…

Mesoscale and Nanoscale Physics · Physics 2013-03-27 Matthias C. Lüffe , Jeroen Danon , Tamara S. Nunner

The $\beta\gamma$ system is generalized by complex(rational) powers of the fields, which leads to a corresponding extension on the Fock space. Two different approaches to compute the Green functions of the physical operators are proposed.…

High Energy Physics - Theory · Physics 2015-06-26 Oleg Andreev

We consider a single-level quantum dot coupled to two leads which are ferromagnetic in general. Apart from tunneling processes conserving electron spin, we also include processes associated with spin-flip of tunneling electrons, which…

Mesoscale and Nanoscale Physics · Physics 2018-08-22 Łukasz Karwacki , Józef Barnaś

We consider a one-dimensional gas of spin-1/2 fermions interacting through $\delta$-function repulsive potential of an arbitrary strength. For the case of all fermions but one having spin up, we calculate time-dependent two-point…

Mathematical Physics · Physics 2015-01-21 O. Gamayun , A. G. Pronko , M. B. Zvonarev

We derive a semiclassical approximation to the Husimi functions of stationary states of spin systems. We rederive the Bohr-Sommerfeld quantization for spin by locating the poles of the corresponding local Green function. The residues…

Quantum Physics · Physics 2011-02-19 Marcel Novaes , Marcus A. M. de Aguiar

Spin and charge currents in systems with Rashba or Dresselhaus spin-orbit couplings are formulated in a unified version of four-dimensional SU(2)$\times$U(1) gauge theory, with U(1) the Maxwell field and SU(2) the Yang-Mills field. While…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Pei-Qing Jin , You-Quan Li , Fu-Chun Zhang

We study the spin relaxation torque in nonmagnetic or ferromagnetic metals with nonuniform spin-orbit coupling within the Keldysh Green's function formalism. In non-magnet, the relaxation torque is shown to arise when the spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Kazuhiro Tsutsui , Akihito Takeuchi , Gen Tatara , Shuichi Murakami

Lusztig's algorithm of computing generalized Green functions of reductive groups involves an ambiguity of certain scalars. In this paper, for reductive groups of classical type with arbitrary characteristic, we determine those scalars…

Representation Theory · Mathematics 2021-08-06 Toshiaki Shoji

Asymptotic formulae for Green's functions for the operator $-\GD$ in domains with small holes are obtained. A new feature of these formulae is their uniformity with respect to the independent variables. The cases of multi-dimensional and…

Analysis of PDEs · Mathematics 2007-05-23 V. Maz'ya , A. Movchan

This document contains information supplementary to the article [1], but it is self-contained and can be read independently as a pedagogical review. In the first part, we explain our conventions for the tight-binding description of…

Strongly Correlated Electrons · Physics 2016-02-10 G. A. H. Schober , K. -U. Giering , M. M. Scherer , C. Honerkamp , M. Salmhofer

Electron spin precession in nonuniform Rashba-Dresselhaus two-dimensional electron systems along arbitrary continuous paths is investigated. We derive an analytical formula to describe the spin vectors (expectation values of the injected…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Ming-Hao Liu , Ching-Ray Chang

Spin electromagnetic fields driven by the Rashba spin-orbit interaction, or Rashba-induced spin Berry's phase, in ferromagnetic metals is theoretically studied based on the Keldysh Green's function method. Considering a limit of strong sd…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Noriyuki Nakabayashi , Gen Tatara
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