Bosonization of the Low Energy Excitations of Fermi Liquids

Details Bosonization of the Low Energy Excitations of Fermi Liquids Bosonization of the Low Energy Excitations of Fermi Liquids

1993-04-08

arxiv.org/abs/cond-mat/9304014v1

Physics

Condensed Matter

10 pages, RevteX, P-93-03-027 (UIUC)

Scientific paper

10.1103/PhysRevLett.72.1393

We bosonize the low energy excitations of Fermi Liquids in any number of dimensions in the limit of long wavelengths. The bosons are coherent superposition of electron-hole pairs and are related with the displacement of the Fermi Surface in some arbitrary direction. A coherent-state path integral for the bosonized theory is derived and it is shown to represent histories of the shape of the Fermi Surface. The Landau equation for the sound waves is shown to be exact in the semiclassical approximation for the bosons.

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