An alternative field theory for the Kosterlitz-Thouless transition

Details An alternative field theory for the Kosterlitz-Thouless transition An alternative field theory for the Kosterlitz-Thouless transition

2001-01-05

arxiv.org/abs/cond-mat/0101060v2

J.Phys.A34:5327-5333,2001

Physics

Condensed Matter

Statistical Mechanics

final version, extended discussion, appendix added, 8 pages, no figure, uses IOP documentclass iopart

Scientific paper

10.1088/0305-4470/34/26/303

We extend a Gaussian model for the internal electrical potential of a two-dimensional Coulomb gas by a non-Gaussian measure term, which singles out the physically relevant configurations of the potential. The resulting Hamiltonian, expressed as a functional of the internal potential, has a surprising large-scale limit: The additional term simply counts the number of maxima and minima of the potential. The model allows for a transparent derivation of the divergence of the correlation length upon lowering the temperature down to the Kosterlitz-Thouless transition point.

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