Dimensional crossover from Fermi to Luttinger liquid

Journal Article · Mon Jan 17 00:00:00 EST 1994 · Physical Review Letters; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.72.316· OSTI ID:5323310

Castellani, C; Di Castro, C; Metzner, W ^[1]

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1. Dipartimento di Fisica, Universita La Sapienza'', piazzale A. Moro 2, 00185 Roma (Italy)

We analyze the low energy behavior of interacting fermions in continuous dimensions [ital d] between one and two. It is shown that Fermi liquid fixed points are stable with respect to residual scattering of quasiparticles by regular interactions in any dimension above one, while the structure of corrections to quasiparticle behavior changes drastically below two dimensions. The crossover from Luttinger liquid behavior in 1D to Fermi liquid behavior in higher dimensions is described by a tomographic Luttinger model with effective interactions approaching zero with a power [ital d][minus]1 of the distance from the Fermi surface.

• OSTI ID: 5323310
• Journal Information: Physical Review Letters; (United States), Vol. 72:3; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
FERMIONS
LIQUIDS
RANDOM PHASE APPROXIMATION
RENORMALIZATION
SCATTERING
SELF-ENERGY
SINGULARITY
WAVE FUNCTIONS
ENERGY
FLUIDS
FUNCTIONS
661300* - Other Aspects of Physical Science- (1992-)