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Advances In Physics
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arXiv.org e-Print Archive
Preprint . 1998
Data sources: arXiv.org e-Print Archive
Advances In Physics
Article . 2000 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.48550/ar...
Article . 1998
License: arXiv Non-Exclusive Distribution
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https://arxiv.org/abs/cond-mat...
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Multidimensional bosonization

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Mar 2000Embargo end date: 01 Jan 1998Publisher:Informa UK LimitedJournal:Advances in Physics, volume 49, pages 141-228 (issn: 0001-8732, eissn: 1460-6976, Copyright policy )
Authors: J. B. Marston; A. Houghton; H. J. Kwon;

doi: 10.1080/000187300243363 , 10.48550/arxiv.cond-mat/9810388

arXiv: http://arxiv.org/abs/cond-mat/9810388

Multidimensional bosonization

Abstract

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.

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

Related Organizations
Keywords

High Energy Physics - Theory, Superconductivity (cond-mat.supr-con), Condensed Matter - Strongly Correlated Electrons, Condensed Matter - Mesoscale and Nanoscale Physics, Strongly Correlated Electrons (cond-mat.str-el), High Energy Physics - Theory (hep-th), Condensed Matter - Superconductivity, Mesoscale and Nanoscale Physics (cond-mat.mes-hall), FOS: Physical sciences

  • BIP!
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    citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 57
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Top 10%
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
57
Top 10%
Top 10%
Top 10%
Green
bronze