Non-Linear Waves in Fermi Liquids
Condensed Matter
2007-05-23 v1
Abstract
I show that when non-linearities are taken into account the Landau theory of Fermi liquids predicts the existence of hyperbolic waves in fermionic systems. The zero sound is described by a infinite set of coupled non-linear partial differential equations, one for each harmonic of oscillation of the Fermi surface. When just a few harmonics are included it is possible to describe the dynamics of the first sound in a very simple way. These results lead to the interesting experimental possibility of having non-linear effects in quantum liquids. In particular I discuss the problem of generation of second harmonic in a Fermi system.
Keywords
Cite
@article{arxiv.cond-mat/9412049,
title = {Non-Linear Waves in Fermi Liquids},
author = {A. H. Castro Neto},
journal= {arXiv preprint arXiv:cond-mat/9412049},
year = {2007}
}
Comments
11 pages, RevteX, preprint ITP