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Electrical energy is considered as a fundamental parameter for inclusion in Fermi gas theory, in addition to thermal energy. It is argued that electrical energy can move some electrons to above the Fermi Level, providing free charges to…

Materials Science · Physics 2022-06-15 C. A. M. dos Santos , M. S. da Luz , F. S. Oliveira , L. M. S Alves

We demonstrate that the entanglement entropy area law for free fermion ground states and the corresponding volume law for highly excited states are related by a position-momentum duality, thus of the same origin. For a typical excited state…

Statistical Mechanics · Physics 2015-03-05 Hsin-Hua Lai , Kun Yang

In this paper we establish a connection between density functional theory (DFT) for lattice models and common real-space DFT. We consider the lattice DFT description of a two-level model subject to generic interactions in Mermin's DFT…

Strongly Correlated Electrons · Physics 2023-10-23 Nahual Sobrino , David Jacob , Stefan Kurth

A systematic expansion of the many-body master equation for active matter, in which motors power configurational changes as in the cytoskeleton, is shown to yield a description of the steady state and responses in terms of an effective…

Soft Condensed Matter · Physics 2011-08-08 Shenshen Wang , Peter G. Wolynes

Thermodynamic properties of matter are conveniently expressed as functional relations between variables known as equations of state. Here we experimentally determine the compressibility, density and pressure equations of state for an…

Quantum Gases · Physics 2016-02-12 K. Fenech , P. Dyke , T. Peppler , M. G. Lingham , S. Hoinka , H. Hu , C. J. Vale

Using density functional theory, we determine parameters of tight-binding Hamiltonians for a variety of Fabre charge transfer salts, focusing in particular on the effects of temperature and pressure. Besides relying on previously published…

Strongly Correlated Electrons · Physics 2013-04-25 A. C. Jacko , H. Feldner , E. Rose , F. Lissner , M. Dressel , Roser Valentí , Harald O. Jeschke

We apply the classical mapping technique developed recently by Dharma-wardana and Perrot for a study of the uniform two-dimensional electron system at arbitrary degeneracy and spin-polarization. Pair distribution functions, structure…

Strongly Correlated Electrons · Physics 2009-11-10 Nguyen Quoc Khanh , Hiroo Totsuji

We consider the non-relativistic Hartree model in the gravitational case, i.e. with attractive Coulomb-Newton interaction. For a given mass, we construct stationary states with non-zero temperature by minimizing the corresponding free…

Analysis of PDEs · Mathematics 2015-05-19 Gonca L. Aki , Jean Dolbeault , Christof Sparber

Internal energy, enthalpy and entropy are the key quantities to study thermodynamic properties of the moist atmosphere, because they correspond to the First (internal energy and enthalpy) and Second (entropy) Laws of thermodynamics. The aim…

Atmospheric and Oceanic Physics · Physics 2015-10-13 Pascal Marquet , Jean-François Geleyn

The Hund coupling in multiorbital Hubbard systems induces spin freezing and associated Hund metal behavior. Using dynamical mean field theory, we explore the effect of local moment formation, spin and charge excitations on the entropy and…

Strongly Correlated Electrons · Physics 2020-08-12 Changming Yue , Philipp Werner

We solve the attractive Hubbard model for arbitrary interaction strengths within dynamical mean-field theory. We compute the transition temperature for superconductivity and analyze electron pairing in the normal phase. The normal state is…

Strongly Correlated Electrons · Physics 2009-11-07 M. Keller , W. Metzner , U. Schollwoeck

We give a variational formulation of classical statistical mechanics where the one-body density and the local entropy distribution constitute the trial fields. Using Levy's constrained search method it is shown that the grand potential is a…

Soft Condensed Matter · Physics 2015-05-30 Matthias Schmidt

Motivated by recent experiments with ultracold fermionic atoms in optical lattices, we study finite temperature magnetic correlations, as singlet and triplet correlations, and the double occupancy in the one-dimensional Hubbard model. We…

We extend to finite temperature a Green's function method that was previously proposed to evaluate ground-state properties of mesoscopic clouds of non-interacting fermions moving under harmonic confinement in one dimension. By calculations…

Statistical Mechanics · Physics 2009-11-07 Z. Akdeniz , P. Vignolo , A. Minguzzi , M. P. Tosi

We introduce a density functional formalism to study the ground-state properties of strongly-correlated dipolar and ionic ultracold bosonic and fermionic gases, based on the self-consistent combination of the weak and the strong coupling…

We use spin-density functional theory to obtain novel expressions for the charge and spin local-field factors of an electron gas in terms of its electron-pair structure factors. These expressions (i) satisfy the compressibility and spin…

Strongly Correlated Electrons · Physics 2009-11-07 B. Davoudi , M. Polini , M. P. Tosi

We use strong coupling expansions to calculate the entropy function $S(T,h)$, the magnetization $M(T,h)$, and the double occupancy factor $D(T,h)$ for the half-filled triangular lattice Hubbard model as a function of temperature $T$ and…

Strongly Correlated Electrons · Physics 2023-03-08 Owen Bradley , Yutan Zhang , Jaan Oitmaa , Rajiv R. P. Singh

We have obtained an expression of the entropy density depending on the scale transformation of the spatial directions in the field theory. It takes the following form in $d+1$ dimensional bulk spacetime: $s\sim…

High Energy Physics - Theory · Physics 2013-04-12 Shesansu Sekhar Pal

We compute unbiased spectral functions of the two-dimensional Hubbard model by extrapolating Green functions, obtained from determinantal quantum Monte Carlo simulations, to the thermodynamic and continuous time limits. Our results clearly…

Strongly Correlated Electrons · Physics 2012-10-09 D. Rost , E. V. Gorelik , F. Assaad , N. Blümer

In solid phase the pressure correlates to the elastic related volume change while the temperature to the thermal related volume change. These volume changes are not compatible with the exception of constant volume condition when the…

General Physics · Physics 2007-05-23 Jozsef Garai , Alexandre Laugier
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