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Sine-Gordon mean field theory of a Coulomb Gas

Alexandre Diehl·Marcia C. Barbosa·Yan Levin
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Abstract

Sine-Gordon field theory is used to investigate the phase diagram of a neutral Coulomb gas. A variational mean field free energy is constructed and the corresponding phase diagrams in two (2d) and three dimensions (3d) are obtained. When analyzed in terms of chemical potential, the Sine-Gordon theory predicts the phase diagram topologically identical with the Monte Carlo simulations and a recently developed Debye-Hückel-Bjerrum (DHBj) theory. In 2d we find that the infinite order Kosterlitz-Thouless line terminates in a tricritical point, after which the metal-insulator transition becomes first order. However, when the transformation from chemical potential to the density is made the whole of the insulating phase is mapped onto zero density.

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Alexandre Diehl, Marcia C. Barbosa, Yan Levin. 1997-02-14. Sine-Gordon mean field theory of a Coulomb Gas. https://doi.org/10.1103/physreve.56.619

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