A finite temperature study of ideal quantum gases in the presence of one dimensional quasi-periodic potential
arXiv:1708.04128 · doi:10.1088/1742-5468/aabc7b
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.
25 pages, 12 figures
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Cited by in corpus (3)
- Fraction of delocalized eigenstates in the long-range Aubry-André-Harper model
- Study of counterintuitive transport properties in the Aubry-André-Harper model via entanglement entropy and persistent current
- Non-local correlation and entanglement of ultracold bosons in the two-dimensional Bose-Hubbard lattice at finite temperature