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Two-dimensional electron systems offer an appealing platform to explore long-lived excitations arising due to collinear carrier scattering enabled by phase-space constraints at the Fermi surface. Recently it was found that these effects can…

Strongly Correlated Electrons · Physics 2024-09-27 Serhii Kryhin , Leonid Levitov

An exactly soluble one-dimensional model of electrons interacting with order parameter fluctations associated with short-range order is considered. The energy and momentum dependence of the electronic self energy and spectral function are…

Condensed Matter · Physics 2009-10-28 Ross H. McKenzie , David Scarratt

We investigate the decoherence of the electron wavepacket in purely ballistic one-dimensional systems described through the Luttinger liquid (LL). At a finite temperature $T$ and long times $t$, we show that the electron Green's function…

Strongly Correlated Electrons · Physics 2009-11-11 Karyn Le Hur

Measurements of spin dynamics of electrons in a degenerate two dimensional electron gas, where the Dyakonov-Perel mechanism is dominant, have been used to investigate the electron scattering time (tp*) as a function of energy near the Fermi…

Other Condensed Matter · Physics 2008-03-11 W. J. H. Leylanda , R. T. Harley , M. Henini , A. J. Shields , I. Farrer , D. A. Ritchie

We discuss Fermi-edge singularity effects on the linear and nonlinear transient response of an electron gas in a doped semiconductor. We use a bosonization scheme to describe the low energy excitations, which allows to compute the time and…

Mesoscale and Nanoscale Physics · Physics 2007-10-30 D. Porras , J. Fernandez-Rossier , C. Tejedor

The dynamics of a particle coupled to a dense and homogeneous ideal Fermi gas in two spatial dimensions is studied. We analyze the model for coupling parameter g=1 (i.e., not in the weak coupling regime), and prove closeness of the time…

Mathematical Physics · Physics 2019-10-08 Maximilian Jeblick , David Mitrouskas , Sören Petrat , Peter Pickl

Pauli blocking in Fermi liquids imposes strong phase-space constraints on quasiparticle lifetimes, leading to a well-known quadratic-in-temperature decay rate of quasiparticle modes at low temperatures. In two-dimensional systems, however,…

Mesoscale and Nanoscale Physics · Physics 2025-10-15 Eric Nilsson , Ulf Gran , Johannes Hofmann

The low-energy properties of one-dimensional quantum liquids are commonly described in terms of the Tomonaga-Luttinger liquid theory, in which the elementary excitations are free bosons. To this approximation the theory can be alternatively…

Strongly Correlated Electrons · Physics 2013-12-20 K. A. Matveev , A. Furusaki

The destruction of Fermi liquid behavior when a gapless Fermi surface is coupled to a fluctuating gapless boson field is studied theoretically. This problem arises in a number of different contexts in quantum many body physics. Examples…

Strongly Correlated Electrons · Physics 2010-12-14 David F. Mross , John McGreevy , Hong Liu , T. Senthil

Ultrafast optical excitation of metals induces a non-equilibrium energy distribution in the electronic system, with a characteristic step-structure determined by Pauli blocking. On a femtosecond timescale, electron-electron scattering…

Concerning with the recent experiment of time-resolved two-photon photo-emission spectral measurements on semiconductors (GaAs, InP), we theoretically study real time relaxation dynamics of macroscopically photo-excited electrons, toward…

Mesoscale and Nanoscale Physics · Physics 2015-03-05 Hiromasa Ohnishi , Norikazu Tomita , Keiichiro Nasu

We discuss collective excitations of a trapped dilute Fermi gas within a hydrodynamic approximation. Analytical results are derived for both high- and low-temperature limits and are applied to $^{40}$K and $^6$Li systems of current…

Condensed Matter · Physics 2009-10-31 Georg M. Bruun , Charles W. Clark

We describe the theory of Fermi-type acceleration, including first-order Fermi acceleration at a parallel shock front and second-order Fermi acceleration in a test particle limit. Including the theory of the turbulent acceleration and the…

High Energy Astrophysical Phenomena · Physics 2018-07-11 Y. G. Zheng , G. B. Long , C. Y. Yang , J. M. Bai

The energy dependence of the relaxation rate of hot electrons due to interaction with the Fermi sea is studied. We consider 2D and 3D systems, quasi-1D quantum wires with multiple transverse bands, as well as single-channel 1D wires. Our…

Mesoscale and Nanoscale Physics · Physics 2018-05-29 M. Bard , I. V. Protopopov , A. D. Mirlin

For a long time, it has been thought that 2D Fermi gases could support long-lived excitations, thanks to the collinear quasiparticle scattering controlled by phase space constraints at a 2D Fermi surface. We present a direct calculation…

Mesoscale and Nanoscale Physics · Physics 2023-05-18 Serhii Kryhin , Leonid Levitov

We consider the description of a Fermi gas of free electrons given by the Boltzmann--Fermi--Dirac equation, and aim at providing a precise mathematical understanding of the Fermi ground state and its first-order approximation of excited…

Analysis of PDEs · Mathematics 2025-10-14 Benjamin Anwasia , Diogo Arsénio

We have experimentally investigated a spin excitation in a quantum degenerate Fermi gas of atoms. In the hydrodynamic regime the damping time of the collective excitation is used to probe the quantum behavior of the gas. At temperatures…

Statistical Mechanics · Physics 2009-11-07 B. DeMarco , D. S. Jin

We calculate the lifetime of low-energy electronic excitations in a two-dimensional quantum dot near a metallic gate. We find different behaviors depending on the relative values of the dot size, the dot-gate distance and the Thomas-Fermi…

Statistical Mechanics · Physics 2009-11-10 F. Guinea , R. A. Jalabert , F. Sols

We use the Boltzmann equation in the relaxation time approximation to study the expansion of a dilute Fermi gas at unitarity. We focus, in particular, on the approach to the hydrodynamic limit. Our main finding are: i) In the regime that…

Statistical Mechanics · Physics 2013-05-29 Kevin Dusling , Thomas Schaefer

We compute the low-temperature behavior of the specific heat of normal (non-color-superconducting) degenerate quark matter as well as that of an ultradegenerate electron gas. Long-range magnetic interactions lead to non-Fermi-liquid…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. Gerhold , A. Ipp , A. Rebhan
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