We consider a system of interacting fermions on a chain in a periodic potential incommensurate with the chain spacing. We derive a convergent perturbative expansion, afflicted by a small denominator problem and based on renormalization group, for the two point Schwinger function. We obtain the large distance behavior of the Schwinger function, which is anomalous and described by critical indices, related to the gap and the wave function renormalization.

Mastropietro, V. (1999). Small denominators and anomalous behaviour in the incommensurate Hubbard-Holstein model. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 201(1), 81-115 [DOI: 10.1007/s002200050550].

Small denominators and anomalous behaviour in the incommensurate Hubbard-Holstein model

MASTROPIETRO, VIERI
1999

Abstract

We consider a system of interacting fermions on a chain in a periodic potential incommensurate with the chain spacing. We derive a convergent perturbative expansion, afflicted by a small denominator problem and based on renormalization group, for the two point Schwinger function. We obtain the large distance behavior of the Schwinger function, which is anomalous and described by critical indices, related to the gap and the wave function renormalization.
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/07 - Fisica Matematica
English
Con Impact Factor ISI
FERMI-SURFACE; RENORMALIZATION-GROUP; PERIODIC POTENTIALS; CRITICAL INDEXES; BETA-FUNCTION; KAM TORI; SYSTEM
http://www.springerlink.com/content/kgl6kjb4nhcyc2pb/
Mastropietro, V. (1999). Small denominators and anomalous behaviour in the incommensurate Hubbard-Holstein model. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 201(1), 81-115 [DOI: 10.1007/s002200050550].
Mastropietro, V
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2108/43754
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