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

被引：4

作者：

Xie, Pinchen ^{[1
,2
]}

Wu, Bo ^{[3
]}

Zhang, Zhongzhi ^{[2
,4
]}

机构：

[1] Fudan Univ, Dept Phys, Shanghai 200433, Peoples R China

[2] Fudan Univ, Shanghai Key Lab Intelligent Informat Proc, Shanghai 200433, Peoples R China

[3] SUNY Stony Brook, Dept Appl Math & Stat, Stony Brook, NY 11794 USA

[4] Fudan Univ, Sch Comp Sci, Shanghai 200433, Peoples R China

来源：

EPL | 2016年 / 116卷 / 03期

基金：

中国国家自然科学基金;

关键词：

BOSE-EINSTEIN CONDENSATION; COMPLEX NETWORKS; SPECTRAL DIMENSION; RANDOM-WALKS; GRAPHS; FRACTALS; DYNAMICS;

D O I：

10.1209/0295-5075/116/38002

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study ideal Bose gas upon two scale-free structures G(1) and G(2) 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(s1) = 2 and d(s2) = 2ln4/ln 3. We show that Bose-Einstein condensation only takes place upon G(2) instead of G(1). The topology and thermodynamical property of the two structures are proven to be totally different. Copyright (C) EPLA, 2016

引用

页数：6

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