Title: Normal-state Properties of a Unitary Bose-Fermi Mixture: A Combined Strong-coupling Approach with Universal Thermodynamics,
Abstract: We theoretically investigate normal-state properties of a unitary Bose-Fermi
mixture. Including strong hetero-pairing fluctuations, we evaluate the Bose and
Fermi chemical potential, internal energy, pressure, entropy, as well as
specific heat at constant volume $C_V$, within the framework of a combined
strong-coupling theory with exact thermodynamic identities. We show that
hetero-pairing fluctuations at the unitarity cause non-monotonic temperature
dependence of $C_V$, being qualitatively different from the monotonic behavior
of this quantity in the weak- and strong-coupling limit. On the other hand,
such an anomalous behavior is not seen in the other quantities. Our results
indicate that the specific heat $C_V$, which has recently become observable in
cold atom physics, is a useful quantity for understanding strong-coupling
aspects of this quantum system.