Communications in Theoretical Physics

Diffusive Thermal Conductivity of Superfluid Fermi Gas in p -Wave State at Low Temperatures

Maryam Khademi Dehkordi, Soudabe Nasirimoghadam, F. Nabipoor, Mohammad Ali Shahzamanian

Published Dec 1, 2012• 1 citation

Abstract

The diffusive thermal conductivity tensor of p-wave superfluid at low temperatures is calculated by using the Boltzmann equation approach. We use the Sykes and Brooker procedure and show that K xx is equal to K yy and these are related to T −1 , also K zz is proporated to T −3 .

DOI: 10.1088/0253-6102/58/6/16

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Communications in Theoretical Physics

Diffusive Thermal Conductivity of Superfluid Fermi Gas in p -Wave State at Low Temperatures

Maryam Khademi Dehkordi, Soudabe Nasirimoghadam, F. Nabipoor, Mohammad Ali Shahzamanian

Published Dec 1, 2012• 1 citation

Publisher

Abstract

DOI: 10.1088/0253-6102/58/6/16

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arXiv:1506.01214Jun 3, 20150 citations

We compute the thermal conductivity and sound attenuation length of a dilute atomic Fermi gas in the framework of kinetic theory. Above the critical temperature for superfluidity,

{T}_{c}

, the quasiparticles are fermions, whereas below

{T}_{c}

, the dominant excitations are phonons. We calculate the thermal conductivity in both cases. We find that at unitarity the thermal conductivity $\ensuremath{\kappa}$ in the normal phase scales as $\ensuremath{\kappa}\ensuremath{\propto}{T}^{3/2}$. In the superfluid phase we find $\ensuremath{\kappa}\ensuremath{\propto}{T}^{2}$. At high temperature the Prandtl number, the ratio of the momentum and thermal diffusion constants, is 2/3. The ratio increases as the temperature is lowered. As a consequence we expect sound attenuation in the normal phase just above

{T}_{c}

to be dominated by shear viscosity. We comment on the possibility of extracting the shear viscosity of the dilute Fermi gas at unitarity using measurements of the sound absorption length.

p_x+ip_y

phase represents the lowest energy state in both the Bardeen-Cooper-Schrieffer (BCS) and BEC sides. Our calculations show that at low energy three branches of collective modes can emerge, with different species of dispersion relations: a phonon-like mode, a single-particle-like mode and a gapped mode. A comparison with the Bogoliubov excitations of the corresponding spinor Bose condensate is made. They reproduce the dispersion relations of the excitation modes of the p-wave superfluid Fermi gas to a high accuracy.