Effects of heterogeneity in site–site couplings for tight-binding models on scale-invariant structures
2017
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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