THERMAL PROPERTIES OF MESOSCOPIC AMORPHOUS MEMBRANES
D.-V. ANGHEL

Abstract. We calculate thermal properties of amorphous nanoscopic membranes. We assume that such membranes contain dynamical defects like amorphous materials, which can be described at low temperatures by an ensemble of two-level systems. For the interaction of the two-level systems with the phonon modes we use the model introduced in Phys. Rev. 75, 64202 (2007). In this way we find that at higher temperatures, the heat conductivity, κ, is proportional to T², whereas in the limit of low temperatures – when the dominant phonon wavelength is longer than the thickness of the membrane – κ is proportional to T.