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The uniform electron gas (UEG) is a cornerstone of density-functional theory (DFT) and the foundation of the local-density approximation (LDA), one of the most successful approximations in DFT. In this work, we extend the concept of UEG by…

Chemical Physics · Physics 2025-05-26 Pierre-François Loos

We use the virial expansion to investigate the behavior of the two-component, attractive Fermi gas in the high-temperature limit, where the system smoothly evolves from weakly attractive fermions to weakly repulsive bosonic dimers as the…

Quantum Gases · Physics 2015-01-12 V. Ngampruetikorn , Meera M. Parish , Jesper Levinsen

We show that the presence of a driven bond in an otherwise diffusive lattice gas with simple exclusion interaction results in long-range density-density correlation in its stationary state. In dimensions $d>1$ we show that in the…

Statistical Mechanics · Physics 2014-11-18 Tridib Sadhu , Satya N. Majumdar , David Mukamel

We investigate properties of an energetic atom propagating through strongly interacting atomic gases. The operator product expansion is used to systematically compute a quasiparticle energy and its scattering rate both in a spin-1/2 Fermi…

Quantum Gases · Physics 2012-05-31 Yusuke Nishida

A microscopic framework of nuclear energy density functionals is reviewed, which establishes a direct relation between low-energy QCD and nuclear structure, synthesizing effective field theory methods and principles of density functional…

Nuclear Theory · Physics 2008-11-26 Dario Vretenar

Universality of strongly interacting fermions is a topic of great interest in diverse fields. Here we investigate theoretically the universal dynamic density response of resonantly interacting ultracold Fermi atoms in the limit of either…

Quantum Gases · Physics 2013-09-03 Hui Hu , Xia-Ji Liu

Recent developments in the physics of low density trapped gases make it worthwhile to verify old, well known results that, while plausible, were based on perturbation theory and assumptions about pseudopotentials. We use and extend recently…

Mathematical Physics · Physics 2009-11-10 Elliott H. Lieb , Robert Seiringer , Jan Philip Solovej

Understanding the dynamics of short-range correlations is a central challenge in strongly interacting Fermi gases. In ultracold gases, these correlations are quantified by the contact parameter, yet measurements to date have been limited to…

We use the two-electron wavefunctions (geminals) and the simple screened Coulomb potential proposed by Overhauser [Can. J. Phys. 73, 683 (1995)] to compute the pair-distribution function for a uniform electron gas. We find excellent…

Condensed Matter · Physics 2009-11-07 Paola Gori-Giorgi , John P. Perdew

We show that the local density of states (LDOS) of a wide class of tight-binding models has a weak body-order expansion. Specifically, we prove that the resulting body-order expansion for analytic observables such as the electron density or…

Mathematical Physics · Physics 2022-07-20 Jack Thomas , Huajie Chen , Christoph Ortner

We report an analytical representation of the correlation energy ec(rs, zeta) for a uniform electron gas (UEG), where rs is the Seitz radius or density parameter and zeta is the relative spin polarization. The new functional, called W20, is…

Chemical Physics · Physics 2021-01-27 Qing-Xing Xie , Jiashun Wu , Yan Zhao

Two-dimensional Fermi gases with universal short-range interactions are known to exhibit a quantum anomaly, where a classical scale and conformal invariance is broken by quantum effects at strong coupling. We argue that in a quasi…

Quantum Gases · Physics 2022-05-24 Viktor Bekassy , Johannes Hofmann

A spectroscopic method is applied to measure the inelastic quasi-particle relaxation rate in a disordered Fermi liquid. The quasi-particle relaxation rate, $\gamma$ is deduced from the magnitude of fluctuations in the local density of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 T. Schmidt , P. König , E. McCann , Vladimir I. Fal'ko , R. J. Haug

We determine the dispersion relations of fermionic quasiparticles in ultradegenerate plasmas by a complete evaluation of the on-shell hard-dense-loop-resummed one-loop fermion self energy for momenta of the order of the Fermi momentum and…

High Energy Physics - Phenomenology · Physics 2009-11-11 A. Gerhold , A. Rebhan

Building on the discussion in PRA 93, 042510 (2016), we present a systematic derivation of gradient corrections to the kinetic-energy functional and the one-particle density, in particular for two-dimensional systems. We derive the leading…

Quantum Gases · Physics 2017-09-08 Martin-Isbjörn Trappe , Yink Loong Len , Hui Khoon Ng , Berthold-Georg Englert

We show that, with reasonable hypotheses leading to a simple modeling,a link can be obtained from experiments on the axial low frequency collective modes between the molecular scattering length $a_M$ and the energy parameter $\xi \equiv 1 +…

Soft Condensed Matter · Physics 2009-11-10 R. Combescot , X. Leyronas

We study the short-range correlation strength of three dimensional spin half dilute atomic Fermi gases with spin-orbit coupling. The interatomic interaction is modeled by the contact pseudopotential. In the high temperature limit, we derive…

Quantum Gases · Physics 2012-04-17 Zhenhua Yu

The imaginary part of the exchange-correlation kernel in the longitudinal current-current response function of a quasi-onedimensional Fermi liquid is evaluated by an approximate decoupling in the equation of motion for the current density,…

Strongly Correlated Electrons · Physics 2009-11-07 F. Capurro , M. Polini , M. P. Tosi

We consider the one dimensional (1D) extended Hubbard model at half filling in the presence of a magnetic field. Using field theory techniques we calculate the dynamical density-density correlation function $\chi_{nn}(\omega,q)$ in the…

Strongly Correlated Electrons · Physics 2009-11-07 Davide Controzzi , Fabian H. L. Essler

We relate short-range correlations in ultracold atomic Fermi gases to the entropy of the system over the entire temperature, $T$, vs. coupling strength, $-1/k_Fa$, plane. In the low temperature limit the entropy is dominated by phonon…

Quantum Gases · Physics 2009-08-31 Zhenhua Yu , Georg M. Bruun , Gordon Baym