Volume 116, Number 3, November 2016
|Number of page(s)||6|
|Section||Interdisciplinary Physics and Related Areas of Science and Technology|
|Published online||09 December 2016|
Exactly solvable tight-binding model on two scale-free networks with identical degree distribution
1 Department of Physics, Fudan University - Shanghai 200433, China
2 Shanghai Key Laboratory of Intelligent Information Processing, Fudan University - Shanghai 200433, China
3 Department of Applied Mathematics and Statistics, Stony Brook University - Stony Brook, NY 11794, USA
4 School of Computer Science, Fudan University - Shanghai 200433, China
Received: 11 October 2016
Accepted: 22 November 2016
We study ideal Bose gas upon two scale-free structures and with identical degree distribution. Energy spectra belonging to tight-binding Hamiltonian are exactly solved and the related spectral dimensions of and are obtained as and . We show that Bose-Einstein condensation only takes place upon instead of . The topology and thermodynamical property of the two structures are proven to be totally different.
PACS: 89.75.Hc – Networks and genealogical trees / 05.30.Jp – Boson systems / 02.10.Yn – Matrix theory
© EPLA, 2016
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