The Haldane bosonization scheme and metallic states of interacting fermions in d spatial dimensions

Authors
Farid, B
Citation
B. Farid, The Haldane bosonization scheme and metallic states of interacting fermions in d spatial dimensions, PHIL MAG B, 80(9), 2000, pp. 1599-1625
Citations number
54
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
1599 - 1625
Database
ISI
SICI code
1364-2812(200009)80:9<1599:THBSAM>2.0.ZU;2-O
Abstract
We consider the Haldane bosonization scheme in d spatial dimensions as appl ied to a realistic model of interacting fermions in d = 2 and unequivocally demonstrate failure of this scheme in d > 1, specifically in d = 2. In add ition to tracing back this failure to its origin, we show that nothing as r egards the true metallic state of the model under consideration is known wi th any degree of certainty.