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

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

2007-05-14

arxiv.org/abs/0705.1936v1

Phys. Rev. B 76, 165425 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

9 pages, 2 figures

Scientific paper

10.1103/PhysRevB.76.165425

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 $\kappa$. 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 $\kappa\propto T(a+b\ln T)$. This temperature dependence is a hallmark of the TLS-limited heat conductance at low temperature.

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