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On the Theory of Superfluidity in Two Dimensions

Achilles D. Speliotopoulos·Harry L. Morrison
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Abstract

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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Achilles D. Speliotopoulos, Harry L. Morrison. 1995-10-09. On the Theory of Superfluidity in Two Dimensions. https://doi.org/10.1088/0305-4470%2F24%2F21%2F016

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