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Using a Luttinger liquid theory we investigate the time evolution of the particle density of a one-dimensional fermionic system with open boundaries and subject to a finite duration quench of the inter-particle interaction. We provide…

Strongly Correlated Electrons · Physics 2016-08-16 S. Porta , F. M. Gambetta , F. Cavaliere , N. Traverso Ziani , M. Sassetti

Using a Luttinger liquid theory we investigate the time evolution of the particle density of a one-dimensional spinful fermionic system with open boundaries and subject to a finite-duration quench of the inter-particle interaction. Taking…

Strongly Correlated Electrons · Physics 2017-07-13 F. M. Gambetta , S. Porta

A canonical quantization procedure is applied to the interaction of elastic waves --phonons-- with infinitely long dislocations that can oscillate about an equilibrium, straight line, configuration. The interaction is implemented through…

Materials Science · Physics 2021-02-26 Fernando Lund , Bruno Scheihing Hitschfeld

I study heat and norm transport in a one-dimensional lattice of linear Schr\"odinger oscillators with conservative stochastic perturbations. Its equilibrium properties are the same of the Discrete Nonlinear Schr\"odinger equation in the…

Statistical Mechanics · Physics 2019-10-09 Stefano Iubini

We study the relaxation dynamics of laser-excited non-equilibrium electron distributions in the valence- and conduction band of a dielectric. We apply Boltzmann collision integrals to trace the influence of different scattering mechanisms…

Statistical Mechanics · Physics 2023-04-28 Nils Brouwer , Steffen Hirtle , Baerbel Rethfeld

We solve an infrared effective holographic model of a non-Fermi liquid at finite temperature that satisfies Luttinger's theorem and incorporates long-range Coulomb interactions. Motivated by the absence of a Luttinger-counting Fermi surface…

Strongly Correlated Electrons · Physics 2026-05-07 Eli Ismailov , Ulf Gran , Eric Nilsson

Thermoelectric transport in nanoscale conductors is analyzed in terms of the response of the system to a thermo-mechanical field, first introduced by Luttinger, which couples to the electronic energy density. While in this approach the…

Mesoscale and Nanoscale Physics · Physics 2014-09-12 F. G. Eich , A. Principi , M. Di Ventra , G. Vignale

We consider one-dimensional (1D) interacting electrons beyond the Dzyaloshinskii-Larkin theorem, i.e., keeping forward scattering interactions among the electrons but adding a non-linear correction to the electron dispersion relation. The…

Strongly Correlated Electrons · Physics 2012-11-12 S. Teber

We develop a Luttinger liquid theory of the Coulomb drag of persistent currents flowing in concentric mesoscopic rings, by incorporating non-linear corrections to the electron dispersion relation. We demonstrate that at low temperatures,…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 T. V. Shahbazyan , S. E. Ulloa

We establish an approach to compute linear-response functions to elucidate heat waves and non-local thermal transport. The theory is able to describe the response of a system to external heat sources that are nonuniform in space and time.…

Mesoscale and Nanoscale Physics · Physics 2021-11-04 Kevin Fernando , Patrick K. Schelling

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 consider the problem of relaxation in a one-dimensional system of interacting electrons. In the limit of weak interactions, we calculate the decay rate of a single-electron excitation, accounting for the nonlinear dispersion. The leading…

Strongly Correlated Electrons · Physics 2013-04-09 Zoran Ristivojevic , K. A. Matveev

A one-dimensional system of interacting electrons out of equilibrium is studied in the framework of the Luttinger liquid model. We analyze several setups and develop a theory of tunneling into such systems. A remarkable property of the…

Mesoscale and Nanoscale Physics · Physics 2009-03-22 D. B. Gutman , Yuval Gefen , A. D. Mirlin

Advances in cooling and trapping of atoms have enabled unprecedented experimental control of many-body quantum systems. This led to the observation of numerous quantum phenomena, important for fundamental science, indispensable for…

Strongly Correlated Electrons · Physics 2023-07-19 Igor V. Lerner

The thermal response of nonequilibrium systems requires the knowledge of concepts that go beyond entropy production. This is showed for systems obeying overdamped Langevin dynamics, either in steady states or going through a relaxation…

Statistical Mechanics · Physics 2016-08-31 Gianmaria Falasco , Marco Baiesi

Phononless plasmon assisted transport through a long disordered array of finite length quantum wires is investigated analytically. Two temperature regimes, the low- and the high-temperature ones, with qualitatively different temperature…

Disordered Systems and Neural Networks · Physics 2009-11-11 A. L. Chudnovskiy

We study the mobility of a particle coupled to a one dimensional interacting fermionic system, a Luttinger liquid. We bosonize the Luttinger liquid and find the effective interaction between the particle and the bosonic system. We show that…

Condensed Matter · Physics 2009-10-22 A. H. Castro Neto , A. O. Caldeira

We study thermal conductivity in the disordered two-dimensional electron liquid in the presence of long-range Coulomb interactions. We describe a microscopic analysis of the problem using as a starting point the partition function defined…

Mesoscale and Nanoscale Physics · Physics 2016-06-22 G. Schwiete , A. M. Finkel'stein

We analyze the uniform conductivity of a one dimensional degenerate fermion system placed in a random disorder potential so smooth that backward scattering can be neglected. We use the nonlinear Luttinger liquid model to consider effects of…

Strongly Correlated Electrons · Physics 2025-07-31 A. A. Dontsov , D. N. Aristov , A. P. Dmitriev

Transport properties of a single-channel Luttinger liquid impinging on a barrier have been studied for $g=1/2 - \epsilon$, where $g$ is the dimensionless interaction constant and $|\epsilon| \ll 1$. The relevant diagrams contributing to the…

Condensed Matter · Physics 2007-05-23 R. Egger , M. Sassetti , U. Weiss
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