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We consider a system of charged one-dimensional spin-$\frac{1}{2}$ fermions at low temperature. We study how the energy of a highly-excited quasiparticle (or hole) relaxes toward the chemical potential in the regime of weak interactions.…

Strongly Correlated Electrons · Physics 2021-08-25 Zoran Ristivojevic , K. A. Matveev

The electron-electron relaxation in impure two-dimensional superconductors is studied. All channels of the electron-electron interaction classified in the Nambu representation are taken into account. It is shown that the recombination…

Superconductivity · Physics 2009-10-31 M. Reizer

We study the relaxation of a non-equilibrium carrier distribution under the influence of the electron-electron interaction in the presence of disorder. Based on the Anderson model, our Hamiltonian is composed from a single particle part…

Disordered Systems and Neural Networks · Physics 2008-02-15 Peter Bozsoki , Imre Varga , Henning Schomerus

Equilibration of a one-dimensional system of interacting electrons requires processes that change the numbers of left- and right-moving particles. At low temperatures such processes are strongly suppressed, resulting in slow relaxation…

Mesoscale and Nanoscale Physics · Physics 2010-07-22 K. A. Matveev , A. V. Andreev , M. Pustilnik

We perform a numerical simulation of energy relaxation in three-dimensional electron glasses in the strongly localized regime at finite temperatures. We consider systems with no interactions, with long-range Coulomb interactions and with…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. Perez-Garrido , M. Ortuno , A. Diaz-Sanchez , E. Cuevas

We evaluate the relaxation rate of high-energy quasiparticles in a weakly interacting one-dimensional Bose gas. Unlike in higher dimensions, the rate is a nonmonotonic function of temperature, with a maximum at the crossover to the state of…

Quantum Gases · Physics 2010-08-27 Shina Tan , Michael Pustilnik , Leonid I. Glazman

A theory is developed for the evolution of the non-equilibrium distribution of quasiparticles when the scattering rate decreases due to particle collisions. We propose a "modified one-collision approximation" which is most effective for…

Disordered Systems and Neural Networks · Physics 2009-11-10 R. N. Gurzhi , A. I. Kopeliovich , A. N. Kalinenko , A. V. Yanovsky , E. N. Bogachek , Uzi Landman , H. Buhmann , L. W. Molenkamp

The dynamic response of an interacting electron system is determined by an extension of the relaxation-time approximation forced to obey local conservation laws for number, momentum and energy. A consequence of these imposed constraints is…

Strongly Correlated Electrons · Physics 2009-11-07 G. S. Atwal , N. W. Ashcroft

The higher the energy of a particle is above equilibrium the faster it relaxes due to the growing phase-space of available electronic states it can interact with. In the relaxation process phase coherence is lost, thus limiting high energy…

We develop a theory of thermal transport of weakly interacting electrons in quantum wires. Unlike higher-dimensional systems, a one-dimensional electron gas requires three-particle collisions for energy relaxation. The fastest relaxation is…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Alex Levchenko , Tobias Micklitz , Zoran Ristivojevic , K. A. Matveev

We briefly review some equilibrium and nonequilibrium properties of systems with long-range interactions. Such systems, which are characterized by a potential that weakly decays at large distances, have striking properties at equilibrium,…

Statistical Mechanics · Physics 2009-11-13 Stefano Ruffo

We report the first direct observation of the decay of the excited-state population in electrons trapped on the surface of liquid helium. The relaxation dynamics, which are governed by inelastic scattering processes in the system, are…

Mesoscale and Nanoscale Physics · Physics 2021-03-17 Erika Kawakami , Asem Elarabi , Denis Konstantinov

The non-equilibrium dynamics of electrons is of a great experimental and theoretical value providing important microscopic parameters of the Coulomb and electron-phonon interactions in metals and other cold plasmas. Because of the…

Superconductivity · Physics 2008-11-19 V. V. Kabanov , A. S. Alexandrov

We investigate the magnetization relaxation of a one-dimensional helimagnetic system coupled to interacting itinerant electrons. The relaxation is assumed to result from the emission of plasmons, the elementary excitations of the…

Mesoscale and Nanoscale Physics · Physics 2015-10-12 Kjetil M. D. Hals , Karsten Flensberg , Mark S. Rudner

We study the effects of the Coulomb interaction in the one dimensional Kondo lattice model on the phase diagram, the static magnetic susceptibility and electron spin relaxation. We show that onsite Coulomb interaction supports ferromagnetic…

Strongly Correlated Electrons · Physics 2015-05-20 Sebastian Smerat , Herbert Schoeller , Ian P. McCulloch , Ulrich Schollwöck

The spectral properties of up to four interacting electrons confined within a quasi one--dimensional system of finite length are determined by numerical diagonalization including the spin degree of freedom. The ground state energy is…

Condensed Matter · Physics 2009-10-22 Wolfgang Haeusler , Bernhard Kramer , PTB Braunschweig

The electron kinetics in nanowire-based hot-carrier solar cells is studied, where both relaxation and extraction are considered concurrently. Our kinetics is formulated in the many-particle basis of the interacting system. Detailed…

Mesoscale and Nanoscale Physics · Physics 2019-10-15 Alex Arash Sand Kalaee , Andreas Wacker

The quantum coherence of electrons can be probed by studying weak localization corrections to the conductivity. Interaction effects lead to dephasing, with electron-electron interactions being the important intrinsic mechanism. A…

Condensed Matter · Physics 2007-05-23 D. S. Golubev , A. D. Zaikin , Gerd Schön

We study the relaxation dynamics of electron distribution function on the island of a single electron transistor. We focus on the 'interaction without coherence regime in which an electron coherence can be neglected but quantum fluctuations…

Mesoscale and Nanoscale Physics · Physics 2025-02-04 Ya. I. Rodionov I. S. Burmistrov N. M. Chtchelkatchev

A non--equilibrium occupation distribution relaxes towards the Fermi--Dirac distribution due to electron--electron scattering even in finite Fermi systems. The dynamic evolution of this thermalization process assumed to result from an…

Disordered Systems and Neural Networks · Physics 2007-05-23 Imre Varga , Peter Thomas , Torsten Meier , Stephan W. Koch
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