Title: A finite temperature study of ideal quantum gases in the presence of one dimensional quasi-periodic potential,
Abstract: We study the thermodynamics of ideal Bose gas as well as the transport
properties of non interacting bosons and fermions in a one dimensional
quasi-periodic potential, namely Aubry-André (AA) model at finite
temperature. For bosons in finite size systems, the effect of quasi-periodic
potential on the crossover phenomena corresponding to Bose-Einstein
condensation (BEC), superfluidity and localization phenomena at finite
temperatures are investigated. From the ground state number fluctuation we
calculate the crossover temperature of BEC which exhibits a non monotonic
behavior with the strength of AA potential and vanishes at the self-dual
critical point following power law. Appropriate rescaling of the crossover
temperatures reveals universal behavior which is studied for different
quasi-periodicity of the AA model. Finally, we study the temperature and flux
dependence of the persistent current of fermions in presence of a
quasi-periodic potential to identify the localization at the Fermi energy from
the decay of the current.