Heat transport in disordered quantum harmonic oscillator chains
Mesoscale and Nanoscale Physics
2007-05-23 v2 Disordered Systems and Neural Networks
Abstract
We study heat conduction in quantum disordered harmonic chains connected to general heat reservoirs which are modeled as infinite collection of oscillators. Formal exact expressions for the thermal current are obtained and it is shown that, in some special cases, they reduce to Landauer-like forms. The asymptotic system size dependence of the current is analysed and is found to be similar to the classical case. It is a power law dependence and the power depends on the spectral properties of the reservoirs.
Cite
@article{arxiv.cond-mat/0210470,
title = {Heat transport in disordered quantum harmonic oscillator chains},
author = {Abhishek Dhar},
journal= {arXiv preprint arXiv:cond-mat/0210470},
year = {2007}
}
Comments
Revised version. Some corrections made