Effects of heterogeneity in site-site couplings for tight-binding models on scale-invariant structures
arXiv:1705.07977 · doi:10.1016/j.physleta.2017.09.045
Abstract
We studied the thermodynamic behaviors of non-interacting bosons and fermions trapped by a scale-invariant branching structure of adjustable degree of heterogeneity. The full energy spectrum in tight-binding approximation was analytically solved . We found that the log-periodic oscillation of the specific heat for Fermi gas depended on the heterogeneity of hopping. Also, low dimensional Bose-Einstein condensation occurred only for non-homogeneous setup.
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