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arxiv: math-ph/0208043 · v2 · pith:JHA777RYnew · submitted 2002-08-29 · 🧮 math-ph · cond-mat.mes-hall· math.CV· math.MP

The Landau--Ginzberg theory for the two-dimensional Bose gas

classification 🧮 math-ph cond-mat.mes-hallmath.CVmath.MP
keywords theorytwo-dimensionalbosecombineddimensionsgenesislandau--ginzbergmacroscopic
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Using results from sheaf theory combined with the phenomenological theory of the two-dimensional superfluid, the precipitation of quantum vortices is shown to be the genesis of a macroscopic order parameter for a phase transition in two dimensions.

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