Bosonization of the low energy excitations of Fermi liquids

Journal Article · Mon Mar 07 04:00:00 EST 1994 · Physical Review Letters; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.72.1393· OSTI ID:5019689

Castro Neto, A H; Fradkin, E ^[1]

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1. Loomis Laboratory of Physics, University of Illinois at Urbana-Champaign, 1100 West Green Street, Urbana, Illinois 61801-3080 (United States)

We bosonize the low energy excitations of Fermi liquids in any number of dimensions in the limit of long wavelengths. The bosons are a coherent superposition of electron-hole pairs and are related with the displacements 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 theory of Fermi liquids can be obtained from the formalism in the absence of nesting of the Fermi surface and singular interactions. We show that the Landau equation for sound waves is exact in the semiclassical approximation for the bosons.

• OSTI ID: 5019689
• Journal Information: Physical Review Letters; (United States), Journal Name: Physical Review Letters; (United States) Vol. 72:10; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSON EXPANSION
COUPLING
ELECTRON-HOLE COUPLING
ENERGY-LEVEL TRANSITIONS
EXCITATION
FERMI GAS
FEYNMAN PATH INTEGRAL
FLUIDS
GASES
INTEGRALS
SEMICLASSICAL APPROXIMATION
SOUND WAVES
WAVELENGTHS