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In current work, we investigate the density and temperature dependence of polarization parameter; using the relativistic formalism for the electron-electron interaction within the Fermi liquid model. we calculate the spin dependent…

统计力学 · 物理学 2011-03-28 H. Gholizade , D. Momeni

A novel method to determine the density and temperature of a system is proposed based on quantum fluctuations typical of Fermions in the limit where the reached temperature T is small compared to the Fermi energy $\epsilon_f$ at a given…

核理论 · 物理学 2011-06-27 Hua Zheng , Aldo Bonasera

The thermodynamic properties of a nonrelativistic free-electron Fermi gas is of fundamental interest in condensed matter physics. Properties previously studied in three-dimensions (3D) in the low- and high-temperature limits include the…

统计力学 · 物理学 2021-05-13 David C. Johnston

We present a general approach for the construction of the exact local-energy-density functionals for a uniform N-dimensional electronic system in a magnetic field. For arbitrary dimension, we obtain explicit expressions for the matter,…

介观与纳米尺度物理 · 物理学 2007-05-23 B. P. van Zyl

We investigate within density functional theory various physical properties of the zero-temperature unitary Fermi gas which critically depend on the presence of a dispersive gradient term in the equation of state. First, we consider the…

量子气体 · 物理学 2013-04-23 F. Ancilotto , L. Salasnich , F. Toigo

We use the recently derived density of states for a particle confined to a spherical well in three dimensional fuzzy space to compute the thermodynamics of a gas of non-interacting fermions confined to such a well. Special emphasis is…

高能物理 - 理论 · 物理学 2016-01-20 F. G. Scholtz , J. N. Kriel , H. W. Groenewald

Strongly interacting, dilute Fermi gases exhibit a scale-invariant, universal thermodynamic behaviour. This is notoriously difficult to understand theoretically because of the absence of a small interaction parameter. Here we present a…

量子气体 · 物理学 2010-08-25 Hui Hu , Xia-Ji Liu , Peter D. Drummond

The simplest density functional theory due to Thomas, Fermi, Dirac and Weizsacker is employed to describe the non-equilibrium thermodynamic evolution of an electron gas. The temperature effect is introduced via the Fermi-Dirac entropy,…

量子物理 · 物理学 2015-06-25 R. Tsekov

This is a brief review of the Thomas-Fermi ("statistical" or "density functional") theory of atoms and molecules.

数学物理 · 物理学 2007-05-23 Elliott H. Lieb

The average-density approximation is used to construct a nonlocal kinetic energy functional for an inhomogeneous two-dimensional Fermi gas. This functional is then used to formulate a Thomas-Fermi von Weizs\"acker-like theory for the…

量子气体 · 物理学 2014-02-11 B. P. van Zyl , A. Farrell , E. Zaremba , J. Towers , P. Pisarski , D. A. W. Hutchinson

Understanding the quantum dynamics of strongly interacting fermions is a problem relevant to diverse forms of matter, including high-temperature superconductors, neutron stars, and quark-gluon plasma. An appealing benchmark is offered by…

A density functional theory is proposed for strongly interacting fermions with arbitrary large negative scattering length. The functional has only two parameters that are directly fixed to reproduce the universal properties of unitary gas:…

核理论 · 物理学 2016-11-03 Denis Lacroix

The physics of quantum degenerate Fermi gases in uniform as well as in harmonically trapped configurations is reviewed from a theoretical perspective. Emphasis is given to the effect of interactions which play a crucial role, bringing the…

其他凝聚态物理 · 物理学 2009-11-13 Stefano Giorgini , Lev P. Pitaevskii , Sandro Stringari

We report on the measurement of the heat capacity for an optically-trapped, strongly-interacting Fermi gas of atoms. In the experiments, a precise input of energy to the gas is followed by single-parameter thermometry. The thermometry…

其他凝聚态物理 · 物理学 2007-05-23 J. Kinast , A. Turlapov , J. E. Thomas

Two-component Fermi gases with tunable repulsive or attractive interactions inside quasi-one-dimensional (Q1D) harmonic wells may soon become the cleanest laboratory realizations of strongly correlated Luttiger and Luther-Emery liquids…

强关联电子 · 物理学 2009-11-11 Gao Xianlong , Marco Polini , Reza Asgari , M. P. Tosi

Understanding the thermodynamic properties of many-body quantum systems and their emergence from microscopic laws is a topic of great significance due to its profound fundamental implications and extensive practical applications. Recent…

量子物理 · 物理学 2024-09-05 Antonio Palamara , Francesco Plastina , Antonello Sindona , Irene D'Amico

We theoretically investigate the thermodynamic properties of a strongly correlated two-dimensional Fermi gas with a confinement-induced negative effective range of interactions, which is described by a two-channel model Hamiltonian. By…

量子气体 · 物理学 2020-01-15 Brendan C. Mulkerin , Hui Hu , Xia-Ji Liu

Based on recent progress on fermionic exchange symmetry we propose a way to develop new functionals for reduced density matrix functional theory. For some settings with an odd number of electrons, by assuming saturation of the inequalities…

强关联电子 · 物理学 2018-10-23 Carlos L. Benavides-Riveros , Miguel A. L. Marques

Density-functional theory is applied to compute the ground-state energies of quantum hard-sphere solids. The modified weighted-density approximation is used to map both the Bose and the Fermi solid onto a corresponding uniform Bose liquid,…

统计力学 · 物理学 2009-10-30 A. R. Denton , P. Nielaba , N. W. Ashcroft

A nuclear density functional can be used to find the binding energy and shell structure of nuclei and the energy gap in superconducting nuclear matter. In this paper, we study the possible application of a nuclear density functional theory…

核理论 · 物理学 2011-04-08 Yeunhwan Lim