Zero and First Sound in Normal Fermi Systems

Details Zero and First Sound in Normal Fermi Systems Zero and First Sound in Normal Fermi Systems

2009-10-17

arxiv.org/abs/0910.3283v1

JLTP, Volume 158, Numbers 5-6, 773-805, (2010)

Physics

Condensed Matter

Quantum Gases

38 pages, 5 figures

Scientific paper

10.1007/s10909-009-0043-4

On the basis of a moment method, general solutions of a linearized Boltzmann equation for a normal Fermi system are investigated. In particular, we study the sound velocities and damping rates as functions of the temperature and the coupling constant. In the extreme limits of collisionless and hydrodynamic regimes, eigenfrequency of sound mode obtained from the moment equations reproduces the well-known results of zero sound and first sound. In addition, the moment method can describe crossover between those extreme limits at finite temperatures. Solutions of the moment equations also involve a thermal diffusion mode. From solutions of these equations, we discuss excitation spectra corresponding to the particle-hole continuum as well as collective excitations. We also discuss a collective mode in a weak coupling case.

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