Multidimensional Bosonization

Details Multidimensional Bosonization Multidimensional Bosonization

1998-10-29

arxiv.org/abs/cond-mat/9810388v2

Adv.Phys. 49 (2000) 141-228

Physics

Condensed Matter

Strongly Correlated Electrons

91 pages, 15 eps figures, LaTeX. Minor changes to match the published version

Scientific paper

Bosonization of degenerate fermions yields insight both into Landau Fermi liquids, and into non-Fermi liquids. We begin our review with a pedagogical introduction to bosonization, emphasizing its applicability in spatial dimensions greater than one. After a brief historical overview, we present the essentials of the method. Well known results of Landau theory are recovered, demonstrating that this new tool of many-body theory is robust. Limits of multidimensional bosonization are tested by considering several examples of non-Fermi liquids, in particular the composite fermion theory of the half-filled Landau level. Nested Fermi surfaces present a different challenge, and these may be relevant in the cuprate superconductors. We conclude by discussing the future of multidimensional bosonization.

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