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arXiv · 1606.03825

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

Pinchen Xie·Zhongzhi Zhang·Bo Wu
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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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Pinchen Xie, Zhongzhi Zhang, Bo Wu. 2016-06-13. Exactly solvable tight-binding models on two scale-free networks with identical degree distribution. https://doi.org/10.1209/0295-5075%2F116%2F38002

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