Heat transport in disordered quantum harmonic oscillator chains

Details Heat transport in disordered quantum harmonic oscillator chains Heat transport in disordered quantum harmonic oscillator chains

2002-10-21

arxiv.org/abs/cond-mat/0210470v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Revised version. Some corrections made

Scientific paper

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.

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