On Fermi systems with strong forward scattering in d spatial dimensions

Authors
Farid, B
Citation
B. Farid, On Fermi systems with strong forward scattering in d spatial dimensions, PHIL MAG B, 80(9), 2000, pp. 1627-1651
Citations number
58
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science
Journal title
PHILOSOPHICAL MAGAZINE B-PHYSICS OF CONDENSED MATTER STATISTICAL MECHANICSELECTRONIC OPTICAL AND MAGNETIC PROPERTIES
ISSN journal
13642812 → ACNP
Volume
80
Issue
9
Year of publication
2000
Pages
1627 - 1651
Database
ISI
SICI code
1364-2812(200009)80:9<1627:OFSWSF>2.0.ZU;2-V
Abstract
We consider a specific generalization to spatial dimensions d greater than one of a formalism, based upon conservation laws and the associated Ward id entities, that exactly solves the one-dimensional Luttinger model, and expo se its inadequacies for d>1. We conclude that findings arrived at through a pplication of this generalized formalism concerning systems of fermions wit h strong forward scattering, in particular that d=1 would be the cross-over dimension from Luttinger- to Fermi-liquid state, are open to question.