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Related papers: Quantum drift-diffusion equations for a two-dimens…

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Quantum drift-diffusion equations for a two-dimensional electron gas with spin-orbit interactions of Rashba type are formally derived from a collisional Wigner equation. The collisions are modeled by a Bhatnagar-Gross-Krook-type operator…

Analysis of PDEs · Mathematics 2021-09-21 Luigi Barletti , Philipp Holzinger , Ansgar Jüngel

Based on kinetic equations for the density matrix, drift-diffusion equations are derived for a two-dimensional electron gas with Rashba spin-orbit coupling. Universal results are obtained for the weak coupling case. Most interesting is the…

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

Two drift-diffusion models for the quantum transport of electrons in graphene, which account for the spin degree of freedom, are derived from a spinorial Wigner equation with relaxation-time or mass- and spin-conserving matrix collision…

Mathematical Physics · Physics 2019-05-27 Nicola Zamponi , Ansgar Jüngel

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

Based on quantum-kinetic equations, coupled spin-charge drift-diffusion equations are derived for a two-dimensional electron gas on a cylindrical surface. Besides the Rashba and Dresselhaus spin-orbit interaction, the elastic scattering on…

Materials Science · Physics 2008-08-04 P. Kleinert

We develop a drift-diffusion equation that describes electron spin polarization density in two-dimensional electron systems. In our approach, superpositions of spin-up and spin-down states are taken into account, what distinguishes our…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yuriy V. Pershin

The Rashba Hamiltonian describes the splitting of the conduction band as a result of spin-orbit coupling in the presence of an asymmetric confinement potential and is commonly used to model the electronic structure of confined narrow-gap…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Jun-ichiro Inoue , Gerrit E. W. Bauer , Laurens W. Molenkamp

We apply the Wigner function formalism to derive drift-diffusion transport equations for spin-polarized electrons in a III-V semiconductor single quantum well. Electron spin dynamics is controlled by the linear in momentum spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Semion Saikin

The transport equations for a two-dimensional electron gas with spin-orbit interaction are presented. The distribution function is a 2x2-matrix in the spin space. Particle and energy conservation laws determine the expressions for the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. G. Mishchenko , B. I. Halperin

The asymptotic analysis of a linear high-field Wigner-BGK equation is developped by a modified Chapman-Enskog procedure. By an expansion of the unknown Wigner function in powers of the Knudsen number $\epsilon$, evolution equations are…

Mathematical Physics · Physics 2007-05-23 Chiara Manzini , Giovanni Frosali

In order to model the phase-coherent scattering of electrons in two-dimensional electron gases in the presence of Rashba spin-orbit coupling, a general partial-wave expansion is developed for scattering from a cylindrically symmetric…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Jamie D. Walls , Jian Huang , Robert M. Westervelt , Eric J. Heller

We present the calculation of the density matrix response function of the two-dimensional electron gas with Rashba spin-orbit interaction, which is applicable in a wide range of parameters covering the diffusive and non-diffusive, the dirty…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. Pletyukhov

We study the spin dynamics of two dimensional electron gases (2DEGs) with Rashba spin-orbit coupling by taking account of electron-electron interactions. The diffusion equations for charge and spin densities are derived by making use of the…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 Yuan Li , You-Quan Li

Spin transport properties of a spin-polarized two-dimensional electron gas are studied in the presence of electron-electron interactions. Longitudinal and transverse spin diffusion coefficients are calculated with the quantum transport…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yutaka Takahashi , Kosuke Shizume , Naoto Masuhara

Ferromagnetic heterostructures provide an ideal platform to explore the nature of spin-orbit torques arising from the interplay mediated by itinerant electrons between a Rashba-type spin-orbit coupling and a ferromagnetic exchange…

Mesoscale and Nanoscale Physics · Physics 2014-02-10 Xuhui Wang , Christian Ortiz Pauyac , Aurelien Manchon

Harnessing spins as carriers for information has emerged as an elegant extension to the transport of electrical charges. The coherence of such spin transport in spintronic circuits is determined by the lifetime of spin excitations and by…

Quantum Gases · Physics 2014-07-24 Marco Koschorreck , Daniel Pertot , Enrico Vogt , Michael Köhl

We present a quantum kinetic theory for spin-$1/2$ particles, including the spin-orbit interaction, retaining particle dispersive effects to all orders in $\hbar$, based on a gauge-invariant Wigner transformation. Compared to previous…

Plasma Physics · Physics 2023-02-23 Robin Ekman , Haidar Al-Naseri , Jens Zamanian , Gert Brodin

Spin-orbit interactions in two-dimensional electron liquids are responsible for many interesting transport phenomena in which particle currents are converted to spin polarizations and spin currents and viceversa. Prime examples are the spin…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 K. Shen , R. Raimondi , G. Vignale

We use microscopic linear response theory to derive a set of equations that provide a complete description of coupled spin and charge diffusive transport in a two-dimensional electron gas (2DEG) with the Rashba spin-orbit (SO) interaction.…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. A. Burkov , Alvaro S. Nunez , A. H. MacDonald

We introduce a variant to the Diffusion Monte Carlo algorithm that can be employed to study the effects of the Rashba interaction in a many electron systems. Because of the spin--orbit nature of Rashba interaction a standard algorithm…

Strongly Correlated Electrons · Physics 2015-05-13 A. Ambrosetti , F. Pederiva , E. Lipparini , S. Gandolfi
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