Heat transport in ultrathin dielectric membranes and bridges
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Journal Title
Journal ISSN
Volume Title
School of Science |
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Date
2004
Major/Subject
Mcode
Degree programme
Language
en
Pages
125425/1-6
Series
Physical Review B, Volume 70, Issue 12
Abstract
Phonon modes and their dispersion relations in ultrathin homogeneous 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 CV is proportional to T (temperature), while the heat conductivity κ of narrow bridges is proportional to T3∕2, leading to a thermal cutoff frequency fc=κ/CV∝T1∕2.Description
Keywords
phonon modes, dielectric membranes, film surfaces, polarization, heat capacity, heat conductivity
Other note
Citation
Kühn, T. & Anghel, D. V. & Pekola, Jukka & Manninen, M. & Galperin, Y. M. 2004. Heat transport in ultrathin dielectric membranes and bridges. Physical Review B. Volume 70, Issue 12. 125425/1-6. ISSN 1098-0121 (printed). DOI: 10.1103/physrevb.70.125425.
