Fermi liquid theory applied to a film on an oscillating substrate

Abstract

We have studied the transmission of transverse oscillations through a thin Fermi liquid film, using Landau's Fermi liquid theory. Fermi liquid theory describes the dynamics of interacting, degenerate fermion systems, for example non-superfluid, i.e.\ normal state \textsuperscript{3}He at millikelvin temperatures. The response of a Fermi liquid to the transverse oscillations of a planar substrate has previously been calculated for a fluid layer of infinite thickness. We have modified these calculations for application to a film of finite thickness, either with a free surface, or as confined between two parallel substrates. The equations take into account contributions to the acoustic impedance from both the collective transverse zero sound mode, as well as the incoherent single-quasiparticle excitations and are solved using numerical methods.

11 pages, 8 figures. Updated to published version. Changes in presentation, no change in results

References in corpus (3)

• Temperature Dependence of Viscosity in Normal Fluid ${}^3$He Below 800mK Determined by a Micro-electro-mechanical Oscillator
• Fermi liquid theory of Fermi-Bose mixtures
• Pendulum in Fermi liquid

Cited by in corpus (1)

• Two-parameter boundary condition applied to transverse acoustic impedance of a Fermi liquid