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Particle–Hole Ladders

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Abstract

A self contained analysis demonstrates that the sum of all particle-hole ladder contributions for a two dimensional, weakly coupled fermion gas with a strictly convex Fermi curve at temperature zero is bounded. This is used in our construction of two dimensional Fermi liquids. This summary article contains the statements of the main results. The proofs are contained in the full, electronic, article. Electronic Supplementary Material: Supplementary material is available in the online version of this article at http://dx.doi.org/10.1007/s00220-004-1038-2.

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Authors and Affiliations

  1. Department of Mathematics, University of British Columbia, Vancouver, B.C., Canada, V6T 1Z2

    Joel Feldman

  2. Mathematik, ETH-Zentrum, 8092, Zürich, Switzerland

    Horst Knörrer & Eugene Trubowitz

Authors
  1. Joel Feldman
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  2. Horst Knörrer
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  3. Eugene Trubowitz
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Corresponding author

Correspondence to Joel Feldman.

Additional information

J.Z. Imbrie

Research supported in part by the Natural Sciences and Engineering Research Council of Canada and the Forschungsinstitut für Mathematik, ETH Zürich.

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Feldman, J., Knörrer, H. & Trubowitz, E. Particle–Hole Ladders. Commun. Math. Phys. 247, 179–194 (2004). https://doi.org/10.1007/s00220-004-1038-2

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  • DOI: https://doi.org/10.1007/s00220-004-1038-2

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