Unitary Fermi gas at finite temperature in the epsilon expansion

作者：Nishida Yusuke^*

来源：Physical Review A, 2007, 75(6): 063618.

DOI：10.1103/PhysRevA.75.063618

Thermodynamics of the unitary Fermi gas at finite temperature is investigated from the perspective of the expansion over epsilon=4-d with d being the dimensionality of space. We show that the thermodynamics is dominated by bosonic excitations in the low temperature region T < T-c. Analytic formulas for the thermodynamic functions as functions of the temperature are derived to the lowest order in epsilon in this region. In the high temperature region where T similar to T-c, bosonic and fermionic quasiparticles are excited. We determine the critical temperature T-c of the superfluid phase transition and the thermodynamic functions around T-c to the leading and next-to-leading orders in epsilon.

• 出版日期2007-6