Heat Transport in Mesoscopic Systems

Details Heat Transport in Mesoscopic Systems Heat Transport in Mesoscopic Systems

1998-01-23

arxiv.org/abs/cond-mat/9801252v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

To be published in Superlattices and Microstructures, special issue in honor of Rolf Landauer, March 1988

Scientific paper

10.1006/spmi.1997.0561

Phonon heat transport in mesoscopic systems is investigated using methods analogous to the Landauer description of electrical conductance. A "universal heat conductance" expression that depends on the properties of the conducting pathway only through the mode cutoff frequencies is derived. Corrections due to reflections at the junction between the thermal body and the conducting bridge are found to be small except at very low temperatures where only the lowest few bridge modes are excited. Various non-equilibrium phonon distributions are studied: a narrow band distribution leads to clear steps in the cooling curve, analogous to the quantized resistance values in narrow wires, but a thermal distribution is too broad to show such features.

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