Heat transport in ultra-thin dielectric membranes and bridges

Simple item page
dc.creatorKühn, T.
dc.creatorAnghel, D. V.
dc.creatorPekola, J. P.
dc.creatorManninen, M.
dc.creatorGalperin, Y. M
dc.date2004-04-28
dc.date.accessioned2026-07-07T06:34:08Z
dc.date.available2026-07-07T06:34:08Z
dc.descriptionPhonon modes and their dispersion relations in ultrathin homogenous dielectric membranes are calculated using elasticity theory. The approach differs from the previous ones by a rigorous account of the effect of the film surfaces on the modes with different polarizations. We compute the heat capacity of membranes and the heat conductivity of narrow bridges cut out of such membranes, in a temperature range where the dimensions have a strong influence on the results. In the high temperature regime we recover the three-dimensional bulk results. However, in the low temperature limit the heat capacity, $C_V$, is proportional with $T$ (temperature), while the heat conductivity, $κ$, of narrow bridges is proportional to $T^{3/2}$, leading to a thermal cut-off frequency $f_c=κ/C_V\propto T^{1/2}$.
dc.description6 pages and 6 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0404676
dc.identifierhttp://arxiv.org/abs/cond-mat/0404676
dc.identifierPhys. Rev. B 70, 125425 (2004)
dc.identifierdoi:10.1103/PhysRevB.70.125425
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99426
dc.subjectMesoscale and Nanoscale Physics
dc.titleHeat transport in ultra-thin dielectric membranes and bridges
dc.typetext

Files

Collections

arXiv