Quantum energy flow in mesoscopic dielectric structures
M. P. Blencowe (The Blackett Lab., Imperial College, London, U.K.)
TL;DR
This paper explores quantum phononic energy transport in mesoscopic dielectric wires, deriving the Landauer formula, analyzing energy current fluctuations, and examining temperature fluctuations in electron gas thermometers.
Contribution
It introduces a derivation of the Landauer formula for thermal conductance in mesoscopic dielectric structures and investigates energy current variance and temperature fluctuations.
Findings
Universal aspects of thermal conductance derived
Variance of energy current analyzed in steady state
Initial results on temperature fluctuations in electron gas thermometers
Abstract
We investigate the phononic energy transport properties of mesoscopic, suspended dielectric wires. The Landauer formula for the thermal conductance is derived and its universal aspects discussed. We then determine the variance of the energy current in the presence of a steady state current flow. In the final part, some initial results are presented concerning the nature of the temperature fluctuations of a mesoscopic electron gas thermometer due to the absorption and emission of wire phonons.
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