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We consider a system of three particles, either three identical bosons or two identical fermions plus an impurity, within a three-dimensional isotropic trap interacting via a contact interaction. Using two approaches, one using an infinite…

Quantum Gases · Physics 2024-05-03 A. D. Kerin , A. M. Martin

In this work we study in a formal way the density dependent hadron field theory at finite temperature for nuclear matter. The thermodynamical potential and related quantities, as energy density and pressure are derived in two different…

Nuclear Theory · Physics 2008-11-26 S. S. Avancini , M. E. Bracco , M. Chiapparini , D. P. Menezes

The temperature dependence of the surface plasmon resonance in small metal spheres is calculated using an electron gas model within the Random Phase Approximation. The calculation is mainly devoted to the study of spheres with diameters up…

Mesoscale and Nanoscale Physics · Physics 2017-06-07 Claudia Fasolato , Francesco Sacchetti , Pietro Tozzi , Caterina Petrillo

We investigate the probability distribution of the quantum fluctuations of thermodynamic functions of finite, ballistic, phase-coherent Fermi gases. Depending on the chaotic or integrable nature of the underlying classical dynamics, on the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 P. Leboeuf , A. G. Monastra

Fermi gases with magnetically tunable interactions provide a clean and controllable laboratory system for modeling interparticle interactions between fermions in nature. The s-wave scattering length, which is dominant a low temperature, is…

Quantum Gases · Physics 2010-04-05 J. E. Thomas

The process of deriving an interatomic potentials represents an attempt to integrate out the electronic degrees of freedom from the full quantum description of a condensed matter system. In practice it is the derivatives of the interatomic…

Materials Science · Physics 2016-06-23 G. J. Ackland

A tight-binding model is fit to first-principles calculations for copper that include structures distorted according to elastic constants and high-symmetry phonon modes. With the resulting model the first-principles-based phonon dispersion…

Materials Science · Physics 2009-11-07 Sven P. Rudin , M. D. Jones , C. W. Greeff , R. C. Albers

In this work we explore the performance of approximations to electron correlation in reduced density-matrix functional theory (RDMFT) and of approximations to the observables calculated within this theory. Our analysis focuses on the…

Strongly Correlated Electrons · Physics 2015-02-26 Stefano Di Sabatino , Jan A. Berger , Lucia Reining , Pina Romaniello

We consider theoretically the electron--electron interaction induced exchange-correlation effects in the lowest subband of a quasi-one-dimensional GaAs quantum wire structures. We calculate, within the leading order dynamical screening…

Condensed Matter · Physics 2007-05-23 Ben Yu-Kuang Hu , S. Das Sarma

The thermoelectric power of nondegenerate Kane semiconductors with due regard for the electron and phonon heating, and their thermal and mutual drags is investigated. The electron spectrum is taken in the Kane two-band form. It is shown…

Statistical Mechanics · Physics 2009-11-07 M. M. Babaev , T. M. Gassym , M. Tas , M. Tomak

The thermodynamics for a system with given temperature, density, and volume is described by the Canonical ensemble. The thermodynamics for a corresponding system with the same temperature, volume, and average density is described by the…

Statistical Mechanics · Physics 2016-01-12 Debajit Chakraborty , James Dufty , Valentin V. Karasiev

Using the strong coupling diagram technique, magnetic and spectral properties of the two-dimensional repulsive Hubbard model are investigated in the ranges of repulsions $t\leq U\leq 10t$, temperatures $0.1t\lesssim T\lesssim 4t$ and…

Strongly Correlated Electrons · Physics 2019-05-21 A Sherman

Charged plasma and Fermi liquid are two distinct states of electronic matter intrinsic to dilute two-dimensional electron systems at elevated and low temperatures, respectively. Probing their thermodynamics represents challenge because of…

Mesoscale and Nanoscale Physics · Physics 2015-11-18 A. Yu. Kuntsevich , Y. V. Tupikov , V. M. Pudalov , I. S. Burmistrov

Thermodynamics of the unitary Fermi gas at finite temperature is investigated from the perspective of the expansion over epsilon=4-d with d being the dimensionality of space. We show that the thermodynamics is dominated by bosonic…

Other Condensed Matter · Physics 2009-02-05 Yusuke Nishida

Partial differential equations for the electric potential at finite temperature, taking into account the thermal Euler-Heisenberg contribution to the electromagnetic Lagrangian are derived. This complete temperature dependence introduces…

Nuclear Theory · Physics 2017-10-11 A. Bermudez Manjarres , N. G. Kelkar , Marek Nowakowski

Thermal density functional theory calculations often use the Mermin-Kohn-Sham scheme, but employ ground-state approximations to the exchange-correlation (XC) free energy. In the simplest solvable nontrivial model, an asymmetric Hubbard…

Strongly Correlated Electrons · Physics 2016-06-29 Justin C Smith , Aurora Pribram-Jones , Kieron Burke

Density Functional Theory relies on universal functionals characteristic of a given system. Those functionals in general are different for the electron gas and for jellium (electron gas with uniform background). However, jellium is…

Statistical Mechanics · Physics 2017-05-23 James W. Dufty

A recent description of an exact map for the equilibrium structure and thermodynamics of a quantum system onto a corresponding classical system is summarized. Approximate implementations are constructed by pinning exact limits (ideal gas,…

Statistical Mechanics · Physics 2015-04-14 Jeffrey Wrighton , James Dufty , Sandipan Dutta

We study theoretically ultracold collisions in quasi one-dimensional optical traps for bosonic and fermionic reactive molecules in the presence of a periodic potential along the trap axis. Elastic, reactive, and umklapp processes due to…

Quantum Gases · Physics 2016-04-13 Hugo Terrier , Jean-Michel Launay , Andrea Simoni

Accurate treatment of the electronic correlation in inhomogeneous electronic systems, combined with the ability to capture the correlation energy of the homogeneous electron gas, allows to reach high predictive power in the application of…

Strongly Correlated Electrons · Physics 2010-06-22 E. Rasanen , S. Pittalis , C. R. Proetto
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