Four-Terminal Thermal Conductance of Mesoscopic Dielectric Systems
- 3 October 2002
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 89 (17), 175901
- https://doi.org/10.1103/physrevlett.89.175901
Abstract
A four-terminal thermal conductance formula for a mesoscopic dielectric system with arbitrary central scattering region is derived. Similar to four-terminal electric conductance, the four-terminal thermal conductance also has a set of Onsager relations. In the temperature limit, in contrast to the two-terminal thermal conductance which is a monotonic function of and tends to zero, the four-terminal thermal conductance is nonmonotonic and tends to . We also find that temperatures of the two terminals without thermal flux become very close to each other at low temperatures. Rather different behaviors are found for systems satisfying fractional exclusion statistics.
This publication has 14 references indexed in Scilit:
- Effect of Phonon Scattering by Surface Roughness on the Universal Thermal ConductancePhysical Review Letters, 2001
- Low-Temperature Heat Transfer in NanowiresPhysical Review Letters, 2001
- Measurement of the quantum of thermal conductanceNature, 2000
- Thermal conduction through a moleculeEurophysics Letters, 1999
- Quantum energy flow in mesoscopic dielectric structuresPhysical Review B, 1999
- Quantized Thermal Conductance of Dielectric Quantum WiresPhysical Review Letters, 1998
- Measurements of thermal transport in low stress silicon nitride filmsApplied Physics Letters, 1998
- Heat transport in mesoscopic systemsSuperlattices and Microstructures, 1998
- Thermal characteristics of silicon nitride membranes at sub-Kelvin temperaturesApplied Physics Letters, 1998
- Direct thermal conductance measurements on suspended monocrystalline nanostructuresApplied Physics Letters, 1997