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Title: Virial expansion for a strongly correlated Fermi gas with imbalanced spin populations

Abstract

Quantum virial expansion provides an ideal tool to investigate the high-temperature properties of a strongly correlated Fermi gas. Here, we construct the virial expansion in the presence of spin-population imbalance. Up to the third order, we calculate the high-temperature free energy of a unitary Fermi gas as a function of spin imbalance, with infinitely large attractive or repulsive interactions. In the latter repulsive case, we show that there is no itinerant ferromagnetism when quantum virial expansion is applicable. We therefore estimate an upper bound for the ferromagnetic transition temperature T{sub c}. For a harmonically trapped Fermi gas at unitarity, we find that (T{sub c}){sub upper}<T{sub F}, where T{sub F} is the Fermi temperature at the center of the trap. Our result for the high-temperature equations of state may confront future high-precision thermodynamic measurements.

Authors:
;  [1]
  1. Australian Research Council Centre of Excellence for Quantum-Atom Optics, Centre for Atom Optics and Ultrafast Spectroscopy, Swinburne University of Technology, Melbourne 3122 (Australia)
Publication Date:
OSTI Identifier:
21454816
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 82; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevA.82.043626; (c) 2010 The American Physical Society; Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; EQUATIONS OF STATE; EXPANSION; FERMI GAS; FREE ENERGY; INTERACTIONS; SPIN; TRANSITION TEMPERATURE; TRAPPING; TRAPS; UNITARITY; ANGULAR MOMENTUM; ENERGY; EQUATIONS; PARTICLE PROPERTIES; PHYSICAL PROPERTIES; THERMODYNAMIC PROPERTIES

Citation Formats

Xiaji, Liu, and Hui, Hu. Virial expansion for a strongly correlated Fermi gas with imbalanced spin populations. United States: N. p., 2010. Web. doi:10.1103/PHYSREVA.82.043626.
Xiaji, Liu, & Hui, Hu. Virial expansion for a strongly correlated Fermi gas with imbalanced spin populations. United States. https://doi.org/10.1103/PHYSREVA.82.043626
Xiaji, Liu, and Hui, Hu. Fri . "Virial expansion for a strongly correlated Fermi gas with imbalanced spin populations". United States. https://doi.org/10.1103/PHYSREVA.82.043626.
@article{osti_21454816,
title = {Virial expansion for a strongly correlated Fermi gas with imbalanced spin populations},
author = {Xiaji, Liu and Hui, Hu},
abstractNote = {Quantum virial expansion provides an ideal tool to investigate the high-temperature properties of a strongly correlated Fermi gas. Here, we construct the virial expansion in the presence of spin-population imbalance. Up to the third order, we calculate the high-temperature free energy of a unitary Fermi gas as a function of spin imbalance, with infinitely large attractive or repulsive interactions. In the latter repulsive case, we show that there is no itinerant ferromagnetism when quantum virial expansion is applicable. We therefore estimate an upper bound for the ferromagnetic transition temperature T{sub c}. For a harmonically trapped Fermi gas at unitarity, we find that (T{sub c}){sub upper}<T{sub F}, where T{sub F} is the Fermi temperature at the center of the trap. Our result for the high-temperature equations of state may confront future high-precision thermodynamic measurements.},
doi = {10.1103/PHYSREVA.82.043626},
url = {https://www.osti.gov/biblio/21454816}, journal = {Physical Review. A},
issn = {1050-2947},
number = 4,
volume = 82,
place = {United States},
year = {2010},
month = {10}
}