Low-temperature electron-phonon heat transfer in metal films

Abstract

We consider the deformation potential mechanism of the electron-phonon coupling in metal films and investigate the intensity of the associated heat transfer between the electron and phonon subsystems. The focus is on the temperature region below dimensional crossover $T<T^{\ast }$ where the thermally relevant vibrations are described in terms of a quasi-two-dimensional elastic medium, while electron excitations behave as a three-dimensional Fermi gas. We derive an explicit expression for the power $P\left(T\right)$ of the electron-phonon heat transfer which explains the behavior observed in some experiments including the case of metallic film supported by an insulating membrane with different acoustic properties. It is shown that at low temperatures the main contribution is due to the coupling with Lamb's dilatational and flexural acoustic modes.

22 pages, 3 figures

References in corpus (11)

• Electron-phonon heat transfer in monolayer and bilayer graphene
• Micrometre-scale refrigerators
• Heat transport in ultra-thin dielectric membranes and bridges
• Phonon cooling of nanomechanical beams with tunnel junctions
• Influence of Phonon dimensionality on Electron Energy Relaxation
• Observation of disorder-induced weakening of electron-phonon interaction in thin noble metal films
• Electron-phonon coupling and longitudinal mechanical-mode cooling in a metallic nanowire
• Electronic cooling of a submicron-sized metallic beam
• Interaction of Lamb modes with two-level systems in amorphous nanoscopic membranes
• Quantization of the elastic modes in an isotropic plate
• Heat capacity of a thin membrane at very low temperature

Cited by in corpus (7)

• Fast thermometry with a proximity Josephson junction
• Fluctuation Relation for Qubit-Calorimetry
• Modification of electron-phonon coupling by micromachining and suspension
• Crossover in the electron-phonon heat exchange in layered nanostructures
• Revisiting the low temperature electron-phonon relaxation of noble metals
• Cold-electron bolometer, as a 1 cm wavelength photon counter
• Electron-phonon relaxation in a model of a granular film