Exact solution of the Landau fixed point via bosonization

Journal Article · Wed Feb 15 04:00:00 EST 1995 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.51.4084· OSTI ID:6575793

Castro Neto, A H; Fradkin, E H ^[1]

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1. Loomis Laboratory of Physics, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801-3080 (United States)

We study, via bosonization, the Landau fixed point for the problem of interacting spinless fermions near the Fermi surface in dimensions higher than one. We rederive the bosonic representation of the Fermi operator and use it to find the general form of the fermion propagator for the Landau fixed point. Using a generalized Bogoliubov transformation we diagonalize exactly the bosonized Hamiltonian for the fixed point and calculate the fermion propagator (and the quasiparticle residue) for isotropic interactions (independently of their strength). We reexamine two well-known problems in this context: the screening of long-range potentials and the Landau damping of gauge fields. We also discuss the origin of the Luttinger fixed point in one dimension in contrast with the Landau fixed point in higher dimensions.

• OSTI ID: 6575793
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 51:7; ISSN 0163-1829; ISSN PRBMDO
• Country of Publication: United States
• Language: English

Related Subjects

665400* -- Quantum Physics Aspects of Condensed Matter-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANALYTICAL SOLUTION
BOGOLYUBOV TRANSFORMATION
BOSON EXPANSION
CANONICAL TRANSFORMATIONS
DAMPING
FERMI GAS
FLUIDS
GASES
LANDAU DAMPING
LANDAU QUASI PARTICLES
PROPAGATOR
QUASI PARTICLES
TRANSFORMATIONS