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

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

2000-09-05

arxiv.org/abs/cond-mat/0009070v1

Physics

Condensed Matter

Statistical Mechanics

6 pages, Latex, JLTP class, accepted by Jour. Low Temp. Phys., Quantum Fluids and Solids Conference QFS2000

Scientific paper

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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