Exactly solvable tight-binding models on two scale-free networks with identical degree distribution

Abstract

We study ideal Bose gas upon two scale-free structures with identical degree distribution. Energy spectra belonging to tight-binding Hamiltonian are exactly solved and the related spectral dimensions of $G_1$ and $G_2$ are obtained as $d_{s_1}=2$ and $d_{s_2}=2\ln 4/\ln 3$. We show Bose-Einstein condensation will only take place upon $G_2$ instead of $G_1$. The topology and thermodynamical property of the two structures are proven to be totally different.

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Cited by in corpus (1)

• Exact evaluation of the causal spectrum and localization properties of electronic states on a scale-free network