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We construct a novel class of exact solutions to the Boltzmann equation, in both its classical and quantum formulation, for arbitrary collision laws. When the system is subjected to a specific external forcing, the precise form of which is…

Statistical Mechanics · Physics 2015-06-19 D. Guéry-Odelin , J. G. Muga , M. J. Ruiz-Montero , E. Trizac

The phenomenological textbook equations for the charge and heat transport are extensively used in a number of fields ranging from semiconductor devices to thermoelectricity. We provide a rigorous derivation of transport equations by solving…

Materials Science · Physics 2017-06-28 M. Battiato , V. Zlatic , K. Held

Starting with a microscopic model based on the Kohn-Luttinger Hamiltonian and kinetic p-d exchange combined with Boltzmann formula for conductivity we identify the scattering from magnetic Mn combined with the strong spin-orbit interaction…

Materials Science · Physics 2009-10-12 Karel Výborný , Jan Kucera , Jairo Sinova , A. W. Rushforth , B. L. Gallagher , T. Jungwirth

The paper presents a solution to the Boltzmann kinetic equation based on the construction of its discrete conservative model. Discrete analogue of the collision integral is presented as a contraction of a tensor, which is independent from…

Statistical Mechanics · Physics 2017-07-04 George Arabuli

We study a two-dimensional (2D) electron system with a linear spectrum in the presence of Rashba spin-orbit (RSO) coupling in the hydrodynamic regime. We derive a semiclassical Boltzmann equation with a collision integral due to Coulomb…

Mesoscale and Nanoscale Physics · Physics 2023-12-15 Edvin G. Idrisov , Eddwi H. Hasdeo , Byjesh N. Radhakrishnan , Thomas L. Schmidt

This paper is devoted to the homogenization (or upscaling) of a system of partial differential equations describing the non-ideal transport of a N-component electrolyte in a dilute Newtonian solvent through a rigid porous medium. Realistic…

Analysis of PDEs · Mathematics 2014-10-14 Gregoire Allaire , Robert Brizzi , Jean-Francois Dufreche , Andro Mikelic , Andrey Piatnitski

We study a system of charged, noninteracting classical particles moving in a Poisson distribution of hard-disk scatterers in two dimensions, under the effect of a magnetic field perpendicular to the plane. We prove that, in the low-density…

Mathematical Physics · Physics 2021-05-10 Alessia Nota , Chiara Saffirio , Sergio Simonella

The interplay between electronic interactions and disorder is neglected in the conventional Boltzmann theory of transport, yet can play an essential role in determining the resistivity of unconventional metals. When quasiparticles are…

Strongly Correlated Electrons · Physics 2018-01-10 Andrew Lucas , Sean A. Hartnoll

In this paper we solve the Boltzmann transport equation using AI libraries. The reason why this is attractive is because it enables one to use the highly optimised software within AI libraries, enabling one to run on different computer…

Computational Engineering, Finance, and Science · Computer Science 2023-01-26 T. R. F. Phillips , C. E. Heaney , C. Boyang , A. G. Buchan , C. C. Pain

We theoretically investigate the microscopic conditions for emergent nonreciprocal magnons toward unified understanding on the basis of a microscopic model analysis. We show that the products of the Bogoliubov Hamiltonian obtained within…

Strongly Correlated Electrons · Physics 2022-01-06 Satoru Hayami , Takuya Matsumoto

Tensor networks are adopted to calculate the responses for one-dimensional quantum spin systems that are initially in thermal equilibrium. The Ising chain in mixed transverse and longitudinal fields is used as the benchmarking system. The…

Statistical Mechanics · Physics 2025-01-06 Jiayin Gu

We present a quantum Boltzmann equation analysis of the spin-Hall effect in a diffusive Rashba two-dimensional electron system. Within the framework of the self-consistent Born approximation, we consider the roles of disorder-induced…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. Y. Liu , X. L. Lei , Norman J. M. Horing

At low reduced electric fields the electron energy distribution function in heavy noble gases can take two distinct shapes. This "bistability effect" - in which electron-electron (Coulomb) collisions play an essential role - is analyzed…

Plasma Physics · Physics 2015-06-16 Nikolay Dyatko , Zoltan Donko

We have coded a Boltzmann solver based on a finite difference scheme (S_N method) aiming at calculations of neutrino transport in type II supernovae. Close comparison between the Boltzmann solver and a Monte Carlo transport code has been…

Astrophysics · Physics 2007-05-23 Shoichi Yamada , Hans-Thomas Janka , Hideyuki Suzuki

Investigations of molecular magnets are driven both by prospective applications in future storage technology or quantum computing as well as by fundamental questions. Nowadays numerical simulation techniques and computer capabilities make…

Strongly Correlated Electrons · Physics 2009-10-08 J. Schnack

We present a theory of magnetic response in a finite-size two-dimensional superconductors with Rashba spin-orbit coupling. The interplay between the latter and an in-plane Zeeman field leads on the one hand to an out-of-plane spin…

Superconductivity · Physics 2021-01-20 F. Sebastián Bergeret , Ilya V. Tokatly

Excitons in anisotropic two-dimensional (2D) materials, defined by direction-dependent effective masses, are of pronounced interest for their roles in excitonic and magneto-optical phenomena. A perpendicular magnetic field complicates the…

Mesoscale and Nanoscale Physics · Physics 2026-04-07 Dang-Khoa D. Le , Hoang-Viet Le , Dai-Nam Le , Duy-Anh P. Nguyen , Thanh-Son Nguyen , Ngoc-Tram D. Hoang , Van-Hoang Le

We study theoretically the manifestation of the spin-Hall effect in a two-dimensional electronic system with Rashba spin-orbit coupling via dc-transport measurements in realistic mesoscopic H-shape structures. The Landauer-Buttiker…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 E. M. Hankiewicz , L. W. Molenkamp , T. Jungwirth , Jairo Sinova

In a bilayer consisting of an insulator (I) and a ferromagnetic metal (FM), interfacial spin orbit scattering leads to spin mixing of the two conducting channels of the FM, which results in an unconventional anisotropic magnetoresistance…

Mesoscale and Nanoscale Physics · Physics 2015-12-15 Steven S. -L. Zhang , Giovanni Vignale , Shufeng Zhang

A solution to an equilibrium of irrotational binary polytropic stars in Newtonian gravity is expanded in a power of \epsilon=a_0/R, where R and a_0 are the separation of the binary system and the radius of each star for R=\infty. For the…

Astrophysics · Physics 2009-10-31 Keisuke Taniguchi , Takashi Nakamura