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Related papers: Uniform electron gas at finite temperatures

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A quantum-field approach for describing many-particle Fermi systems at finite temperatures and with spontaneously broken symmetry has been proposed. A generalized model of self-consistent field (SCF), which allows one to describe the states…

Statistical Mechanics · Physics 2013-03-21 Yu. M. Poluektov

We propose a phenomenological approach for the equation of state of a unitary Fermi gas. The universal equation of state is parametrised in terms of Fermi-Dirac integrals. This reproduces the experimental data over the accessible range of…

Statistical Mechanics · Physics 2017-08-02 M. V. N. Murthy , M. Brack , R. K. Bhaduri

We consider dynamical correlation functions of short range interacting electrons in one dimension at finite temperature. Below a critical value of the chemical potential there is no Fermi surface anymore, and the system can no longer be…

Strongly Correlated Electrons · Physics 2009-10-31 F. Göhmann , V. E. Korepin

The variational and diffusion quantum Monte Carlo methods are used to calculate the correlation energy of the paramagnetic three-dimensional homogeneous electron gas at intermediate to high density. Ground state energies in finite cells are…

Strongly Correlated Electrons · Physics 2023-03-29 Sam Azadi , N. D. Drummond , S. M. Vinko

We use the now well known spin-unpolarized exchange-correlation energy E_{xc} of the uniform electron gas as the basic ``many-body'' input to determine the temperature T_q of a classical Coulomb fluid having the same correlation energy as…

Strongly Correlated Electrons · Physics 2009-10-31 M. W. C. Dharma-wardana , F. Perrot

By using the quantum maximum entropy principle we formally derive, from a underlying kinetic description, isothermal (hydrodynamic and diffusive) quantum fluid equations for particles with Fermi-Dirac and Bose-Einstein statistics. A…

Mathematical Physics · Physics 2014-02-18 Luigi Barletti , Carlo Cintolesi

The finite-temperature spin response of the uniform electron gas (UEG) is a fundamental reference for spin-polarized and magnetized electron liquids, including warm dense matter (WDM), yet it remains far less constrained than charge…

Strongly Correlated Electrons · Physics 2026-05-19 Pengcheng Hou , Zhiyi Li , Youjin Deng , Kun Chen

We perform a systematic study of the thermodynamics of quantum gases in the unitarity limit. Our study makes use of a "Universality Hypothesis" for the relevant energy scales of a many-body system at unitarity. This Hypothesis is supported…

Condensed Matter · Physics 2011-07-19 Tin-Lun Ho

A simple optimization scheme is used to compute the density-density response function of an electron liquid. Higher order terms in the perturbation expansion beyond the random phase approximation are summed approximately by enforcing the…

Materials Science · Physics 2015-01-16 James P. Donley

Density functional theory at finite temperatures often relies on the zero-temperature approximation, which uses a ground-state exchange-correlation functional with thermalized densities. This approach, however, neglects the explicit…

Other Condensed Matter · Physics 2026-03-26 Brianna Aguilar-Solis , Brittany P. Harding , Aurora Pribram-Jones

The uniform electron gas or UEG (also known as jellium) is one of the most fundamental models in condensed-matter physics and the cornerstone of the most popular approximation --- the local-density approximation --- within…

Chemical Physics · Physics 2016-02-23 Pierre-François Loos , Peter M. W. Gill

In this paper we present a Monte Carlo calculation of the critical temperature and other thermodynamic quantities for the unitary Fermi gas with a population imbalance (unequal number of fermions in the two spin components). We describe an…

Quantum Gases · Physics 2010-11-22 Olga Goulko , Matthew Wingate

In the unitary regime, fermions interact strongly via two-body potentials that exhibit a zero range and a (negative) infinite scattering length. The energy density is proportional to the free Fermi gas with a proportionality constant $\xi$.…

Soft Condensed Matter · Physics 2007-05-23 T. Papenbrock

We analyze the extrapolation to the thermodynamic limit of Fermi liquid properties of the homogeneous electron gas in two and three dimensions. Using field theory, we explicitly calculate finite-size effects of the total energy, the…

Strongly Correlated Electrons · Physics 2016-03-15 Markus Holzmann , Bernard Bernu , David M. Ceperley

We calculate the off-diagonal density matrix of the homogeneous electron gas at zero temperature using unbiased Reptation Monte Carlo for various densities and extrapolate the momentum distribution, and the kinetic and potential energies to…

Strongly Correlated Electrons · Physics 2016-03-15 Markus Holzmann , Bernard Bernu , Carlo Pierleoni , Jeremy McMinis , David M. Ceperley , Valerio Olevano , Luigi Delle Site

We calculate the short-range exchange-correlation energy of the uniform electron gas with two modified electron-electron interactions. While the short-range exchange functionals are calculated analytically, Coupled-Cluster and…

Materials Science · Physics 2016-08-16 Julien Toulouse , Andreas Savin , Heinz-Jürgen Flad

Understanding the dynamic properties of the uniform electron gas (UEG) is important for numerous applications ranging from semiconductor physics to exotic warm dense matter. In this work, we apply the maximum entropy method (MEM), as…

Strongly Correlated Electrons · Physics 2025-09-19 Thomas Chuna , Nicholas Barnfield , Jan Vorberger , Michael P. Friedlander , Tim Hoheisel , Tobias Dornheim

A detailed calculation of the real part of the finite temperature dynamic susceptibility of the free Bose gas is presented. After a short discussion on the different ways in which it can be calculated for temperatures above and below the…

Statistical Mechanics · Physics 2009-11-07 F. Mazzanti , A. Polls

We study a system of self-gravitating massive fermions in the framework of the general-relativistic Thomas-Fermi model. We postulate the free energy functional and show that its extremization is equivalent to solving the Einstein's field…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Neven Bilic , Raoul Viollier

We discuss the possibility of defining an emergent local temperature in extended quantum many-body systems evolving out of equilibrium. For the most simple case of free-fermionic systems, we give an explicit formula for the effective…

Statistical Mechanics · Physics 2023-03-06 M. Coppola , D. Karevski