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Title: Comment on 'Superfluid stability in the BEC-BCS crossover'

Abstract

We point out an error in recent work by Pao, Wu, and Yip [Phys. Rev. B 73, 132506 (2006)], that stems from their use of a necessary but not sufficient condition [positive compressibility (magnetic susceptibility) and superfluid stiffness] for the stability of the ground state of a polarized Fermi gas. As a result, for a range of detunings their proposed ground-state solution is a local maximum rather than a minimum of the ground state energy, which thereby invalidates their proposed phase diagram for resonantly interacting fermions under an imposed population difference.

Authors:
;  [1]
  1. Department of Physics, University of Colorado, Boulder, Colorado 80309 (United States)
Publication Date:
OSTI Identifier:
20957793
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. B, Condensed Matter and Materials Physics; Journal Volume: 75; Journal Issue: 13; Other Information: DOI: 10.1103/PhysRevB.75.136501; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BCS THEORY; BOSE-EINSTEIN CONDENSATION; FERMI GAS; FERMIONS; FLEXIBILITY; GROUND STATES; MAGNETIC SUSCEPTIBILITY; MATHEMATICAL SOLUTIONS; PHASE DIAGRAMS; SUPERFLUIDITY

Citation Formats

Sheehy, Daniel E., and Radzihovsky, Leo. Comment on 'Superfluid stability in the BEC-BCS crossover'. United States: N. p., 2007. Web. doi:10.1103/PHYSREVB.75.136501.
Sheehy, Daniel E., & Radzihovsky, Leo. Comment on 'Superfluid stability in the BEC-BCS crossover'. United States. doi:10.1103/PHYSREVB.75.136501.
Sheehy, Daniel E., and Radzihovsky, Leo. Sun . "Comment on 'Superfluid stability in the BEC-BCS crossover'". United States. doi:10.1103/PHYSREVB.75.136501.
@article{osti_20957793,
title = {Comment on 'Superfluid stability in the BEC-BCS crossover'},
author = {Sheehy, Daniel E. and Radzihovsky, Leo},
abstractNote = {We point out an error in recent work by Pao, Wu, and Yip [Phys. Rev. B 73, 132506 (2006)], that stems from their use of a necessary but not sufficient condition [positive compressibility (magnetic susceptibility) and superfluid stiffness] for the stability of the ground state of a polarized Fermi gas. As a result, for a range of detunings their proposed ground-state solution is a local maximum rather than a minimum of the ground state energy, which thereby invalidates their proposed phase diagram for resonantly interacting fermions under an imposed population difference.},
doi = {10.1103/PHYSREVB.75.136501},
journal = {Physical Review. B, Condensed Matter and Materials Physics},
number = 13,
volume = 75,
place = {United States},
year = {Sun Apr 01 00:00:00 EDT 2007},
month = {Sun Apr 01 00:00:00 EDT 2007}
}