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Validity of the Hohenberg Theorem for a Generalized Bose-Einstein Condensation in Two Dimensions

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Abstract

Several authors have considered the possibility of a generalized Bose-Einstein condensation (BEC) in which a band of low states is occupied so that the total occupation number is macroscopic, even if the occupation number of each state is not extensive. The Hohenberg theorem (HT) states that there is no BEC into a single state in 2D; we consider its validity for the case of a generalized condensation and find that, under certain conditions, the HT does not forbid a BEC in 2D. We discuss whether this situation actually occurs in any theoretical model system.

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Authors and Affiliations

  1. Physics Department, Hasbrouck Laboratory, University of Massachusetts Amherst, MA, 01003, USA

    W. J. Mullin

  2. Département de Physique de l'ENS, LKB, 24 rue Lhomond, 75005, Paris, France

    M. Holzmann & F. Laloë

Authors
  1. W. J. Mullin
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  2. M. Holzmann
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  3. F. Laloë
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Mullin, W.J., Holzmann, M. & Laloë, F. Validity of the Hohenberg Theorem for a Generalized Bose-Einstein Condensation in Two Dimensions. Journal of Low Temperature Physics 121, 263–268 (2000). https://doi.org/10.1023/A:1017508504240

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  • DOI: https://doi.org/10.1023/A:1017508504240

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