# Bosonization and fermion liquids in dimensions greater than one.

@article{Houghton1993BosonizationAF, title={Bosonization and fermion liquids in dimensions greater than one.}, author={Houghton and Marston}, journal={Physical review. B, Condensed matter}, year={1993}, volume={48 11}, pages={ 7790-7808 } }

We develop and describe new approaches to the problem of interacting fermions in spatial dimensions greater than 1. These approaches are based on generalizations of powerful tools previously applied to problems in one spatial dimension. We begin with a review of one-dimensional interacting fermions. We then introduce a simplified model in two spatial dimensions to study the role that spin and perfect nesting play in destabilizing fermion liquids. The complicated functional renormalization-group…

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