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

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

2000-04-26

arxiv.org/abs/cond-mat/0004444v1

Physics

Condensed Matter

Strongly Correlated Electrons

20 pages, no figures

Scientific paper

10.1080/014186300419508

We consider the Haldane bosonisation scheme in d spatial dimensions as applied 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 addition to tracing back this failure to its origin, we show that {\sl nothing} as regards the true metallic state of the model under consideration is known with any degree of certainty.

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