The Haldane bosonisation scheme and metallic states of interacting fermions in d spatial dimensions
Abstract
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 nothing as regards the true metallic state of the model under consideration is known with any degree of certainty.
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