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A Class of Fermi Liquids

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Particles and Fields

Part of the book series: CRM Series in Mathematical Physics ((CRM))

Abstract

In this chapter, we consider a many-body system that is somewhat unusual in that the Fermi surface survives the turning on of all sufficiently weak short-range interactions. The system consists of a gas of fermions with prescribed, strictly positive, density, together with a crystal lattice of magnetic ions. The fermions interact with each other through a two-body potential. The lattice provides periodic scalar and vector background potentials. Also, the ions oscillate, generating phonons and then the fermions interact with the phonons. At the present time our result is restricted to d = 2 space dimensions. But we believe that the difficulties preventing the extension to d = 3 are technical rather than physical and are working to overcome them.

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References

  1. J. Feldman, H. Knörrer, D. Lehmann, and E. Trubowitz. in preparation.

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  2. J. Feldman and E. Trubowitz. The flow of an electron-phonon system to the superconducting state. Heiv. Phys. Acta, 64: 213–357, 1991.

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  3. J. Feldman, J. Magnen, V. Rivassseau, and E. Trubowitz. An infinite volume expansion for many fermion Green’s functions. Heiv. Phys. Acta, 65: 679–721, 1992.

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  4. J. Feldman, M. Salmhofer, and E. Trubowitz. Perturbation theory around non-nested fermi surfaces, I: Keeping the Fermi surface fixed. J. Stat. Phys., 84: 1209–1336, 1996.

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Authors
  1. J. Feldman
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  2. H. Knörrer
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  3. D. Lehmann
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  4. E. Trubowitz
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Editor information

Editors and Affiliations

  1. Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia, V6T 1Z1, Canada

    Gordon Semenoff

  2. Centre de Recherches Mathématiques, Université de Montréal, Montreal, Québec, H3C 3J7, Canada

    Luc Vinet

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© 1999 Springer Science+Business Media New York

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Feldman, J., Knörrer, H., Lehmann, D., Trubowitz, E. (1999). A Class of Fermi Liquids. In: Semenoff, G., Vinet, L. (eds) Particles and Fields. CRM Series in Mathematical Physics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1410-6_2

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  • DOI: https://doi.org/10.1007/978-1-4612-1410-6_2

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7133-8

  • Online ISBN: 978-1-4612-1410-6

  • eBook Packages: Springer Book Archive

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