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Quasielectrons and quasiholes in the fractional quantum Hall liquids obey fractional (including nontrivial mutual) exclusion statistics. Their statistics matrix can be determined from several possible state-counting scheme, involving…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Y. S. Wu , Y. Yu , Y. Hatsugai , M. Kohmoto

We have studied the transition from two to three dimensions in a low temperature weakly interacting $^6$Li Fermi gas. Below a critical atom number, $N_{2D}$, only the lowest transverse vibrational state of a highly anisotropic oblate…

Quantum Gases · Physics 2011-03-16 P. Dyke , E. D. Kuhnle , S. Whitlock , H. Hu , M. Mark , S. Hoinka , M. Lingham , P. Hannaford , C. J. Vale

We present the first model-independent comparison of recent measurements of the entropy and of the critical temperature of a unitary Fermi gas, performed by Luo et al., with the most complete results currently available from finite…

Statistical Mechanics · Physics 2008-11-26 Aurel Bulgac , Joaquin E. Drut , Piotr Magierski

We consider the low energy collective mode spectrum of a superfluid Fermi gas in a spherical trap in the collisionless regime. Using a self-consistent random-phase approximation, the effects of superfluidity on modes of dipole and…

Condensed Matter · Physics 2009-11-07 G. M. Bruun , B. R. Mottelson

We calculate using perturbative calculations and Ward identities the basic parameters of the Fermi Liquid: the scattering vertex, the Landau interaction function, the effective mass, specific heat, and physical susceptibilities for a model…

Strongly Correlated Electrons · Physics 2009-11-07 Gennady Y. Chitov , Andrew J. Millis

Superfluidity is a fascinating phenomenon that, at the macroscopic scale, leads to dissipationless flow and the emergence of vortices. While these macroscopic manifestations of superfluidity are well described by theories that have their…

Quantum Gases · Physics 2014-06-18 Yangqian Yan , D. Blume

Single-component ultracold atomic Fermi gases are usually described using noninteracting many-fermion models. However, recent experiments reached a regime where $p$-wave interactions among identical fermionic atoms are important. In this…

Quantum Gases · Physics 2023-05-09 Gianluca Bertaina , Marco G. Tarallo , Sebastiano Pilati

Understanding the origins of unconventional superconductivity has been a major focus of condensed matter physics for many decades. While many questions remain unanswered, experiments have found that the systems with the highest critical…

Quantum Gases · Physics 2021-06-23 Lennart Sobirey , Hauke Biss , Niclas Luick , Markus Bohlen , Henning Moritz , Thomas Lompe

We develop a pairing-field formalism for ab initio studies of non-relativistic two-component fermions on a $(d\!+\!1)$-dimensional spacetime lattice. More specifically, we focus on theories where the interaction between the two components…

Quantum Gases · Physics 2024-04-03 Florian Ehmann , Joaquín E. Drut , Jens Braun

A theoretical investigation of the single particle polariton properties for a microcavity embedding a charged quantum well is presented. The electron gas optical susceptibility is calculated numerically using the method devised by Combescot…

Quantum Gases · Physics 2015-06-19 Maarten Baeten , Michiel Wouters

We show that a Fermi gas, in three dimensions, at temperatures above the superconducting phase transition but below the Fermi temperature, can not be described by Fermi Liquid Theory (FLT) in the unitary limit where the scattering length…

Strongly Correlated Electrons · Physics 2019-01-09 Ira Z. Rothstein , Prashant Shrivastava

We investigate the particle and kinetic energy densities of harmonically trapped fermion gases at zero temperature in arbitrary dimensions. We derive analytically a differential equation connecting these densities, which so far have been…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Matthias Brack , M. V. N. Murthy

The two-species Fermi gas with attractive short-range interactions in two spatial dimensions provides a paradigmatic system for the understanding of strongly correlated Fermi superfluids in two dimensions. It is known to exhibit a BEC-BCS…

Quantum Gases · Physics 2025-01-08 S. Ramachandran , S. Jensen , Y. Alhassid

We consider pairing in a two-component atomic Fermi gas, in a three-dimensional optical lattice, when the components have unequal densities, i.e. the gas is polarized. We show that a superfluid where the translational symmetry is broken by…

Superconductivity · Physics 2007-05-23 T. Koponen , J. Kinnunen , J. -P. Martikainen , L. M. Jensen , P. Torma

The 2D semimetal consisting of heavy holes and light electrons is studied. The consideration is based on assumption that electrons are quantized by magnetic field while holes remain classical. We assume also that the interaction between…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 M. V. Entin , L. I. Magarill

We predict a possibility of triplet Cooper pairing in a Fermi-gas of neutral particles in a confined geometry of magnetic traps at ultra-low temperatures. We evaluate a superfluid transition temperature and analyze the difference between…

Statistical Mechanics · Physics 2009-10-31 M. Yu. Kagan , M. A. Baranov , Yu. Kagan , D. S. Petrov

Interacting Fermi systems in the strongly correlated regime play a fundamental role in many areas of physics and are of particular interest to the condensed matter community. Though weakly inter- acting fermions are understood, strongly…

Quantum Gases · Physics 2016-07-27 Brendan C. Mulkerin , Xia-Ji Liu , Hui Hu

We study the perturbative correction to the ground state energy eigenvalue of a 2-dimensional dilute fermi gas with weak short-range two body repulsion. From the structure of the energy shift we infer the presence of an induced two body…

Condensed Matter · Physics 2007-05-23 G. Baskaran

We find a limit cycle in a quasi-equilibrium model of evaporative cooling of a two-component fermion gas. The existence of such a limit cycle represents an obstruction to reaching the quantum ground state evaporatively. We show that…

Statistical Mechanics · Physics 2009-10-31 M. Crescimanno , C. G. Koay , R. Peterson

We determine the conditions under which superfluidity with and without quantized vortices appears in a weakly interacting two-component atomic Fermi gas that is trapped in a rotating cylindrical symmetric harmonic potential. We compute the…

Quantum Gases · Physics 2012-01-16 Harmen J. Warringa