1202.3520 (Fang Qin et al.)

Adiabatic sound velocity and compressibility of a trapped
$d$-dimensional ideal anyon gas    [PDF]

Fang Qin, Ji-sheng Chen

The adiabatic sound velocity and compressibility for harmonically trapped
ideal anyons in arbitrary dimensions are calculated within Haldane fractional
exclusion statistics. The corresponding low-temperature and high-temperature
behaviors are studied in detail. To compare with the experimental result of
unitary fermions, the sound velocity for anyons in the cigar-shaped trap is
derived. The sound velocity for anyons in the disk-shaped trap is also
calculated. With the parameter $g=0.287$, the sound velocity of unitary
fermions in the cigar-shaped trap modeled by anyons is in good agreement with
the experimental result, while that of unitary fermions in the disk-shaped trap
is $v_{0}/v_{F}=0.406$ with Fermi velocity $v_{F}$.

View original: http://arxiv.org/abs/1202.3520