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Infrared singularities in one-dimensional fermi systems

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Zeitschrift für Physik B Condensed Matter

Abstract

We study the infrared problem in one-dimensional Fermi systems with general interactions including backward scattering. The singular structure of the ground state energy which is a function of two coupling parametersu andv is determined exactly. For attractiveu-coupling one has power law singularities inv with a characteristic singular exponentk varying continuously withu. This behavior is reminiscent of a phase transition of continuous order and is obtained here by exploiting the analogy of the 1-d Fermi system and a 2-d classical plasma with a long range logarithmic Coulomb potential and a short range cut off. We also discuss other recent approaches to the problem.

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Authors and Affiliations

  1. Institut für Theoretische Physik, Universität zu Köln, Zülpicher Straße 77, D-5000, Köln 41, Federal Republic of Germany

    J. Zittartz

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  1. J. Zittartz
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Additional information

Supported in part by the Army Research Office, Durham, N.C., while the author was a summer visitor at Stanford University.

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Zittartz, J. Infrared singularities in one-dimensional fermi systems. Z Physik B 23, 277–284 (1976). https://doi.org/10.1007/BF01318971

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  • DOI: https://doi.org/10.1007/BF01318971

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