Renormalization-group approach to Fermi-liquid theory

Journal Article · Thu Aug 01 00:00:00 EDT 1996 · Physical Review, B: Condensed Matter

DOI:https://doi.org/10.1103/PhysRevB.54.3040· OSTI ID:286661

Dupuis, N ^[1]; Chitov, G Y ^[1]

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1. Departement de Physique et Centre de Recherche en Physique du Solide, Universite de Sherbrooke, Sherbrooke, Quebec, J1K2R1 (CANADA)

We show that the renormalization-group (RG) approach to interacting fermions at one-loop order recovers Fermi-liquid-theory results when the forward scattering zero sound and exchange channels are both taken into account. The Landau parameters are related to the fixed point value of the {Omega} limit of the forward scattering vertex. We specify the conditions under which the results obtained at one-loop order hold at all orders in a loop expansion. We also emphasize the similarities between our RG approach and the diagrammatic derivation of Fermi-liquid theory. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 286661
• Journal Information: Physical Review, B: Condensed Matter, Vol. 54, Issue 5; Other Information: PBD: Aug 1996
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
FERMI GAS
RENORMALIZATION
LANDAU QUASI PARTICLES
FEYNMAN DIAGRAM
VERTEX FUNCTIONS
ZERO SOUND