Phonon Bose-Einstein condensation in a Hubbard-phonon interacting system with infrared divergence
Mathematical Physics
2013-08-27 v1 Other Condensed Matter
math.MP
Abstract
We show that a finite Hubbard-phonon interacting system exhibits phonon BEC at sufficiently low temperature. We also have the gauge symmetry breaking for phonons. The key tools are a unitary transformation introduced by Arai and Hirokawa \protect{\cite{AH1}} and the Araki-Woods representation. This system is essentially the same as a free system or the van Hove model.
Keywords
Cite
@article{arxiv.1308.5589,
title = {Phonon Bose-Einstein condensation in a Hubbard-phonon interacting system with infrared divergence},
author = {Yoshitsugu Sekine},
journal= {arXiv preprint arXiv:1308.5589},
year = {2013}
}