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A Two-Dimensional Analogue of the Luttinger Model
KTH, School of Engineering Sciences (SCI), Theoretical Physics, Mathematical Physics.
2010 (English)In: Letters in Mathematical Physics, ISSN 0377-9017, E-ISSN 1573-0530, Vol. 92, no 2, 109-124 p.Article in journal (Refereed) Published
Abstract [en]

We present a fermion model that is, as we suggest, a natural 2D analogue of the Luttinger model. We derive this model as a partial continuum limit of a 2D spinless lattice fermion system with local interactions and away from half filling. In this derivation, we use certain approximations that we motivate by physical arguments. We also present mathematical results that allow an exact treatment of parts of the degrees of freedom of this model by bosonization, and we propose to treat the remaining degrees of freedom by mean field theory.

Place, publisher, year, edition, pages
2010. Vol. 92, no 2, 109-124 p.
Keyword [en]
lattice fermions, quantum field theory in 2+1 dimensions, bosonization
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Other Physics Topics
URN: urn:nbn:se:kth:diva-27942DOI: 10.1007/s11005-010-0388-2ISI: 000277243800002ScopusID: 2-s2.0-77952097110OAI: diva2:382756
EU, European Research Council, MRTN-CT-2004-5652Swedish Research Council
QC 20110103Available from: 2011-01-03 Created: 2011-01-03 Last updated: 2011-01-03Bibliographically approved

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Langmann, Edwin
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