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We have identified two useful exact properties of the perturbative expansion for the case of a two-dimensional electron liquid with Rashba or Dresselhaus spin-orbit interaction and in the absence of magnetic field. The results allow us to…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Stefano Chesi , Gabriele F. Giuliani

Quantum spin-orbital liquids (QSOLs) are a novel phase of matter, similar to quantum spin liquids, with quantum fluctuations in both spin and orbital degrees of freedom. We use non-equilibrium Green's function theory to study…

Mesoscale and Nanoscale Physics · Physics 2021-08-11 Zekun Zhuang , J. B. Marston

We have investigated spin dynamics in a 2D quantum gas. Through spin-changing collisions, two clouds with opposite spin orientations are spontaneously created in a Bose-Einstein condensate. After ballistic expansion, both clouds acquire…

We study the scattering of an electron in a definite state of spin at an interface of an hybrid system with a Rashba spin-orbit coupling on one side. Out of the normal incidence the double refraction phenomenon appears, with one or two…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. Marigliano Ramaglia , V. Cataudella , G. De Filippis , C. A. Perroni , F. Ventriglia

We consider the wave propagation for a reaction-diffusion equation on the real line, with a random drift and Fisher-Kolmogorov-Petrovskii-Piscounov (FKPP) type nonlinear reaction. We show that when the average drift is positive, the…

Analysis of PDEs · Mathematics 2026-01-27 Dihang Guan , Hui He , Wenqing Hu , Jiaojiao Yang

We propose a nonequilibrium Green's function approach to study the spin-Hall effect in a two-dimensional electron system with both the Rashba and Dresselhaus spin-orbit couplings. By taking into account the long-range electron-impurity…

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

We review some recent results from the mathematical theory of transport of charge and spin in gapped crystalline quantum systems. The emphasis will be in transport coefficients like conductivities and conductances. As for the former, those…

Mathematical Physics · Physics 2023-02-06 Giovanna Marcelli , Domenico Monaco

The Enskog-Landau kinetic equation is considered to describe non-equilibrium processes of a mixture of charged hard spheres. This equation has been obtained in our previous papers by means of the non-equilibrium statistical operator method.…

Plasma Physics · Physics 2007-05-23 A. E. Kobryn , M. V. Tokarchuk , Y. A. Humenyuk

We study the quantum tunneling of non-relativistic electrons for two dimensional condensed matter systems. We employ the Levy-Leblond equation (which is the analogue of the Dirac equation for non-relativistic fermions) and show that the…

Quantum Physics · Physics 2017-05-31 Muhammad Adeel Ajaib

A mixture of relativistic gases of non-disparate rest masses in a Schwarzschild metric is studied on the basis of a relativistic Boltzmann equation in the presence of gravitational fields. A BGK-type model equation of the collision operator…

General Relativity and Quantum Cosmology · Physics 2014-04-15 Gilberto M. Kremer

Electron transport through a spin-orbit-coupled quantum ring is investigated within linear response theory. We show that the finite width of the ring results in the appearance of Fano resonances in the conductance. This turns out to be a…

Mesoscale and Nanoscale Physics · Physics 2011-12-30 M. P. Nowak , B. Szafran , F. M. Peeters

We studied the electric current induced in a two-dimensional electron gas by the spin current, in the presence of Rashba and cubic Dresselhaus spin-orbit interactions. We found out that the factor relating these currents is not universal,…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 L. Y. Wang , A. G. Mal'shukov , C. S. Chu

The electron kinetics in moving and standing striations in direct current and radio-frequency discharges is studied. The discharge current is such that the thermalizing electron-electron collisions are negligible and the hydrodynamic…

Plasma Physics · Physics 2021-02-03 Dmitry Levko

We study spin-resolved resonant tunneling in a system of two quantum dots sandwiched between doped quantum wells. In the coherent (Dicke) regime, i.e., when quantum dot separation is smaller than the Fermi wavelength in a two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2019-04-15 L. S. Petrosyan , T. V. Shahbazyan

We investigate the spin-polarized transport properties of a two-dimensional electron gas in a n-type diluted magnetic narrow gap semiconductor quantum well subjected to a perpendicular magnetic and electric field. Interesting beating…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 W. Yang , Kai Chang , X. G. Wu , H. Z. Zheng , F. M. Peeters

We formulate a semiclassical theory for systems with spin-orbit interactions. Using spin coherent states, we start from the path integral in an extended phase space, formulate the classical dynamics of the coupled orbital and spin degrees…

Chaotic Dynamics · Physics 2009-02-20 M. Pletyukhov , Ch. Amann , M. Mehta , M. Brack

Magneto-transport properties of a two-dimensional electron gas in a chain of planar quantum rings are investigated under the Rashba spin-orbit interaction and a transverse homogeneous magnetic field. A modulation potential function models…

Mesoscale and Nanoscale Physics · Physics 2025-07-30 Armen Harutyunyan

Solutions of the Schr\"odinger equation are obtained for an electron in a two-dimensional circular semiconductor quantum ring in the presence of both external uniform constant magnetic field and the Rashba and Dresselhaus spin-orbit…

Mathematical Physics · Physics 2012-12-21 V. V. Kudryashov , A. V. Baran

We predict the possibility to generate a finite stationary spin current by applying an unbiased ac driving to a quasi-one-dimensional asymmetric periodic structure with Rashba spin-orbit interaction and strong dissipation. We show that…

Mesoscale and Nanoscale Physics · Physics 2008-06-14 Sergey Smirnov , Dario Bercioux , Milena Grifoni , Klaus Richter

Formulas for calculation of transverse dielectric function and transverse electric conductivity in quantum collisional plasmas under arbitrary degree of degeneracy of the electron gas are received. The Wigner - Vlasov - Boltzmann kinetic…

Mathematical Physics · Physics 2010-07-07 A. V. Latyshev , A. A. Yushkanov