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We apply the method of moments to the relativistic Boltzmann-Vlasov equation and derive the equations of motion for the irreducible moments of arbitrary tensor-rank of the invariant single-particle distribution function. We study two cases,…

Plasma Physics · Physics 2025-01-29 Etele Molnár , Dirk H. Rischke

We present generalized scattering theory for multi-terminal spin transport in systems with broken SU(2) symmetry either due to spin-orbit interaction,magnetic impurities or magnetic leads. We derive equation for spin current consistent with…

Mesoscale and Nanoscale Physics · Physics 2008-10-01 T. P. Pareek

Anisotropic magnetoresistance (AMR) is a relativistic magnetotransport phenomenon arising from combined effects of spin-orbit coupling and broken symmetry of a ferromagnetically ordered state of the system. In this work we focus on one…

In order to split the influence of the orbital and spin effects on the inplane magnetoresistance of a quasi two-dimensional gas we derive its linear response function and dielectric function for the case of anisotropic effective mass. This…

Condensed Matter · Physics 2007-05-23 V. S. Khrapai

Starting from kinetic theory description of massive spin-1/2 particles in presence of magnetic field, equations for relativistic dissipative non-resistive magnetohydrodynamics are obtained in the small polarization limit. We use a…

We study electronic transport in two-dimensional spin-orbit coupled electron gas subjected to an in-plane magnetic field. The interplay of the spin-orbit interaction and the magnetic field leads to the Van Hove singularity of the density of…

Mesoscale and Nanoscale Physics · Physics 2019-01-31 Vladimir A. Sablikov , Yurii Ya. Tkach

Electrical transport in semiconductor superlattices is studied within a fully self-consistent quantum transport model based on nonequilibrium Green functions, including phonon and impurity scattering. We compute both the drift…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. Wacker , A. -P. Jauho , S. Rott , A. Markus , P. Binder , G. H. D"ohler

We compute the magnetocrystalline anisotropy energy within two-dimensional Rashba models. For a ferromagnetic free-electron Rashba model, the magnetic anisotropy is exactly zero regardless of the strength of the Rashba coupling, unless only…

Mesoscale and Nanoscale Physics · Physics 2016-11-04 Kyoung-Whan Kim , Kyung-Jin Lee , Hyun-Woo Lee , M. D. Stiles

The two-dimensional electron system in (110)Al$_2$O$_{3-\delta}$/SrTiO$_3$ heterostructures displays anisotropic electronic transport. Largest and lowest conductivity and electron mobility $\mu$ are observed along the $[001]$ and…

Strongly Correlated Electrons · Physics 2018-09-19 K. Wolff , R. Eder , R. Schäfer , R. Schneider , D. Fuchs

An algorithm for sequential calculation of non-isotropic matrix elements of the collision integral which are necessary for the solution of the non-linear Boltzmann equation by moment method is proposed. Isotropic matrix elements that we…

Computational Physics · Physics 2017-04-20 I. A. Ender , L. A. Bakaleinikov , E. Yu. Flegontova , A. B. Gerasimenko

We investigate spin-to-charge conversion via the Edelstein effect in a 2D Rashba electron gas using the semiclassical Boltzmann approach. We analyze the magnetization arising from the direct Edelstein effect, taking into account an…

Mesoscale and Nanoscale Physics · Physics 2025-03-27 Irene Gaiardoni , Mattia Trama , Alfonso Maiellaro , Claudio Guarcello , Francesco Romeo , Roberta Citro

Particle interactions are key elements of many dynamical systems. In the context of systems described by a Boltzmann equation, such interactions may be described by a collision integral, a multidimensional integral over the momentum-phase…

High Energy Astrophysical Phenomena · Physics 2024-09-27 Christopher N. Everett , Garret Cotter

The paper considers a class of linear Boltzmann transport equations which models a charged particle transport. The equation is an approximation of the original exact transport equation which involves hyper-singular integrals in their…

Analysis of PDEs · Mathematics 2024-09-04 Jouko Tervo

The quantum oscillatory magnetization M of a two-dimensional electron system in a magnetic field B is found to provide quantitative information on both the Rashba- and Dresselhaus spin-orbit interaction (SOI). This is shown by first…

Mesoscale and Nanoscale Physics · Physics 2013-11-26 Marc A. Wilde , Dirk Grundler

In this paper, explicit method of constructing approximations (the Triangle Entropy Method) is developed for nonequilibrium problems. This method enables one to treat any complicated nonlinear functionals that fit best the physics of a…

Statistical Mechanics · Physics 2016-08-31 A. N. Gorban , I. V. Karlin

By mapping steady-state nonequilibrium to an effective equilibrium, we formulate nonequilibrium problems within an equilibrium picture where we can apply existing equilibrium many-body techniques to steady-state electron transport problems.…

Strongly Correlated Electrons · Physics 2015-06-25 J. E. Han

The longitudinal nonlinear response plays a crucial role in the nonreciprocal charge transport and may provide a simple electrical means to probe the spin-orbit coupling, magnetic order and polarization states, etc. Here, we report on a…

Mesoscale and Nanoscale Physics · Physics 2025-07-01 Qin Zhang , Xu Chen , Mingbo Dou , M. Ye. Zhuravlev , A. V. Nikolaev , Xianjie Wang , L. L. Tao

We propose a method to determine the magnetic exchange interaction and on-site anisotropy tensors of extended Heisenberg spin models from density functional theory including relativistic effects. The method is based on the…

We consider various sets of Vlasov-Fokker-Planck equations modeling the dynamics of charged particles in a plasma under the effect of a strong magnetic field. For each of them in a regime where the strength of the magnetic field is…

Analysis of PDEs · Mathematics 2020-06-30 Maxime Herda , Luis Miguel Rodrigues

We compute the resistivity anisotropy in the nematic phase of FeSe from the static solution of the multiorbital Boltzmann equation. By introducing disorder at the level of the microscopic multiorbital model we show that even elastic…

Strongly Correlated Electrons · Physics 2022-07-11 Marco Marciani , Lara Benfatto