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We calculate the phonon excitation spectrum in a zero-temperature boson-fermion mixture. We show how the sound velocity changes due to the boson-fermion interaction and we determine the dynamical stability regime of a homogeneous mixture.…

Soft Condensed Matter · Physics 2009-11-07 Han Pu , Weiping Zhang , Martin Wilkens , Pierre Meystre

We write down the gap equation for the fermion self-energy in a finite-temperature abelian gauge theory in three dimensions. The instantaneous approximation is relaxed, momentum-dependent fermion and photon self-energies are considered, and…

High Energy Physics - Phenomenology · Physics 2016-08-25 George Triantaphyllou

At zero temperature, the Lorentz invariance is strictly preserved in three-dimensional quantum electrodynamics. This property ensures that the velocity of massless fermions is not renormalized by the gauge interaction. At finite…

High Energy Physics - Theory · Physics 2016-12-14 Jing-Rong Wang , Guo-Zhu Liu , Chang-Jin Zhang

Recent progress in the field of ultracold gases has allowed the creation of phase-segregated Bose-Fermi systems. We present a theoretical study of their collective excitations at zero temperature. As the fraction of fermion to boson…

Statistical Mechanics · Physics 2009-03-18 Bert Van Schaeybroeck , Achilleas Lazarides

Thermodynamic properties of non-relativistic bosons and fermions in two spatial dimensions and without interactions are derived. All the virial coefficients are the same except for the second, for which the signs are opposite. This results…

High Energy Physics - Theory · Physics 2009-10-28 S. Viefers , F. Ravndal , T. Haugset

We consider fermions in a zero-temperature superconducting anti-de Sitter domain wall solution and find continuous bands of normal modes. These bands can be either partially filled or totally empty and gapped. We present a semi-classical…

High Energy Physics - Theory · Physics 2010-10-28 Steven S. Gubser , Fabio D. Rocha , Pedro Talavera

We present numerical studies of fermion and boson models with random all-to-all interactions (the SYK models). The high temperature expansion and exact diagonalization of the $N$-site fermion model are used to compute the entropy density:…

Strongly Correlated Electrons · Physics 2016-07-20 Wenbo Fu , Subir Sachdev

We present a detailed study of the low-lying collective excitations of a spherically trapped Bose-Fermi mixture at finite temperature in the collisionless regime. The excitation frequencies of the condensate are calculated self-consistently…

Soft Condensed Matter · Physics 2007-05-23 Xia-Ji Liu , Hui Hu

We study the absorption spectrum for a strongly degenerate Fermi gas confined in a harmonic trap. The spectrum is calculated using both the exact summation and also the Thomas-Fermi (TF) approximation. In the latter case, relatively simple…

Quantum Physics · Physics 2009-11-06 Gediminas Juzeliunas , Marius Masalas

We consider the problem of symmetry decomposition of the entanglement negativity in free fermionic systems. Rather than performing the standard partial transpose, we use the partial time-reversal transformation which naturally encodes the…

Statistical Mechanics · Physics 2021-05-26 Sara Murciano , Riccarda Bonsignori , Pasquale Calabrese

We consider the system of $N$ one-dimensional free fermions confined by a harmonic well $V(x) = m\omega^2 {x^2}/{2}$ at finite inverse temperature $\beta = 1/T$. The average density of fermions $\rho_N(x,T)$ at position $x$ is derived. For…

Statistical Mechanics · Physics 2015-12-10 David S. Dean , Pierre Le Doussal , Satya N. Majumdar , Gregory Schehr

We investigate fermion self energy problem in the strongly coupled dense medium in holographic approach. By working out bottom up models as well as top down ones we showed that vanishing thermal mass and non-existence of temperature…

High Energy Physics - Theory · Physics 2013-06-24 Yunseok Seo , Sang-Jin Sin , Yang Zhou

We analyze the phemomenon of induced fermion number at finite temperature. At finite temperature, the induced fermion number $<N>$ is a thermal expectation value, and we compute the finite temperature fluctuations, $(\Delta…

High Energy Physics - Theory · Physics 2009-11-07 Gerald V. Dunne , Kumar Rao

We studied the thermodynamic behaviors of non-interacting bosons and fermions trapped by a scale-invariant branching structure of adjustable degree of heterogeneity. The full energy spectrum in tight-binding approximation was analytically…

Quantum Gases · Physics 2017-10-31 Bingjia Yang , Pinchen Xie , Zhongzhi Zhang

We develop a bosonization formalism that captures non-perturbatively the interaction effects on the $\mathbf{Q}=0$ continuum of excitations of nodal fermions above one dimension. Our approach is a natural extension of the classic…

Strongly Correlated Electrons · Physics 2020-09-16 Sebastian Mantilla , Inti Sodemann

The main objective of this paper is to obtain an operator realization for the bosonization of fermions in 1 + 1 dimensions, at finite, non-zero temperature T. This is achieved in the framework of the real time formalism of Thermofield…

High Energy Physics - Theory · Physics 2009-11-11 R. L. P. G. Amaral , L. V. Belvedere , K. D. Rothe

The main features of a generic boson-fermion scenario for electron pairing in a many-body correlated fermionic system are: i) a cross-over from a poor metal to an insulator and finally a superconductor as the temperature decreases, ii) the…

Superconductivity · Physics 2009-11-10 M. Cuoco , C. Noce , J. Ranninger , A. Romano

One-particle properties of non-interacting Fermions in a one-dimensional harmonic trap and at zero temperature are studied. Exact expressions and asymptotic results for large Fermion number N are given for the particle density distribution…

Quantum Physics · Physics 2009-11-06 F. Gleisberg , W. Wonneberger , U. Schloeder , C. Zimmermann

Starting with the average particle distribution function for bosons and fermions for non-extensive thermodynamics , as proposed in \cite{CMP}, we obtain the corresponding density matrix operators and hamiltonians. In particular, for the…

Statistical Mechanics · Physics 2018-09-26 Marcelo R. Ubriaco

In order to predict the cosmological abundance of dark matter, an estimation of particle rates in an expanding thermal environment is needed. For thermal dark matter, the non-relativistic regime sets the stage for the freeze-out of the dark…

High Energy Physics - Phenomenology · Physics 2024-02-21 Simone Biondini , Nora Brambilla , Gramos Qerimi , Antonio Vairo
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