Effects of heterogeneity in site-site couplings for tight-binding models on scale-invariant structures
Quantum Gases
2017-10-31 v3
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.
Keywords
Cite
@article{arxiv.1705.07977,
title = {Effects of heterogeneity in site-site couplings for tight-binding models on scale-invariant structures},
author = {Bingjia Yang and Pinchen Xie and Zhongzhi Zhang},
journal= {arXiv preprint arXiv:1705.07977},
year = {2017}
}