On the Theory of Superfluidity in Two Dimensions

Details On the Theory of Superfluidity in Two Dimensions On the Theory of Superfluidity in Two Dimensions

1995-10-09

arxiv.org/abs/cond-mat/9510041v1

Physics

Condensed Matter

22 pages, one figure, written in plain TeX, published in J. Phys. A24 (1991) 5029

Scientific paper

The superfluid phase transition of the general vortex gas, in which the circulations may be any non-zero integer, is studied. When the net circulation of the system is not zero the absence of a superfluid phase is shown. When the net circulation of the vortices vanishes, the presence of off-diagonal long range order is demonstrated and the existence of an order parameter is proposed. The transition temperature for the general vortex gas is shown to be the Kosterlitz---Thouless temperature. An upper bound for the average vortex number density is established for the general vortex gas and an exact expression is derived for the Kosterlitz---Thouless ensemble.

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