Multidimensional bosonization

A. Houghton, H. J. Kwon, J. B. Marston

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Pages (from-to)141-228
Number of pages88
JournalAdvances in Physics
Issue number2
StatePublished - Mar 1 2000
Externally publishedYes

ASJC Scopus subject areas

  • Condensed Matter Physics


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