Interaction of Lamb modes with two-level systems in amorphous nanoscopic membranes

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Using a generalized model of interaction between a two-level system (TLS) and an arbitrary deformation of the material, we calculate the interaction of Lamb modes with TLSs in amorphous nanoscopic membranes. We compare the mean free paths of the Lamb modes with different symmetries and calculate the heat conductivity $κ$. In the limit of an infinitely wide membrane, the heat conductivity is divergent. Nevertheless, the finite size of the membrane imposes a lower cut-off for the phonons frequencies, which leads to the temperature dependence $κ\propto T(a+b\ln T)$. This temperature dependence is a hallmark of the TLS-limited heat conductance at low temperature.
9 pages, 2 figures

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Mesoscale and Nanoscale Physics, Disordered Systems and Neural Networks

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http://salesiana.dossiersoluciones.com/handle/123456789/141043

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0705.1936
 http://arxiv.org/abs/0705.1936
 Phys. Rev. B 76, 165425 (2007)
 doi:10.1103/PhysRevB.76.165425

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arXiv