6533b86efe1ef96bd12cca6c
RESEARCH PRODUCT
Interaction of Lamb modes with two-level systems in amorphous nanoscopic membranes
M. ManninenYuri GalperinYuri GalperinYuri GalperinThomas KühnDragoş-victor Anghelsubject
Materials scienceCondensed matter physicsCondensed Matter - Mesoscale and Nanoscale PhysicsMean free pathPhononFOS: Physical sciencesConductanceDisordered Systems and Neural Networks (cond-mat.dis-nn)Condensed Matter - Disordered Systems and Neural NetworksCondensed Matter PhysicsElectronic Optical and Magnetic MaterialsAmorphous solidThermal conductivityMembraneMesoscale and Nanoscale Physics (cond-mat.mes-hall)Deformation (engineering)Nanoscopic scaledescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2007-05-14 |