Effect of phonon-phonon interactions on localization

We study the heat current J in a classical one-dimensional disordered chain with on-site pinning and with ends connected to stochastic thermal reservoirs at different temperatures. In the absence of anharmonicity all modes are localized and there is a gap in the spectrum. Consequently J decays expon...

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Bibliographic Details
Published in:Physical review letters 2008-04, Vol.100 (13), p.134301-134301, Article 134301
Main Authors: Dhar, Abhishek, Lebowitz, J L
Format: Article
Language:English
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Summary:We study the heat current J in a classical one-dimensional disordered chain with on-site pinning and with ends connected to stochastic thermal reservoirs at different temperatures. In the absence of anharmonicity all modes are localized and there is a gap in the spectrum. Consequently J decays exponentially with system size N. Using simulations we find that even a small amount of anharmonicity leads to a J approximately 1/N dependence, implying diffusive transport of energy.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.100.134301