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Phase Diagram of a Two-Dimensional Neutral Classical Coulomb Gas from a Non-perturbative sine-Gordon Expansion

Wen-Fa Lu·Chul Koo Kim
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Abstract

Within the sine-Gordon formalism of a two-dimensional neutral classical Coulomb gas, a convergent expansion with non-perturbative nature is performed to calculate the thermodynamic potential and construct the phase diagram. It is shown that truncation at the first order yields the Gaussian approximation. The second- and third-order corrections are analyzed for the case of small fugacity and are shown that they substantially improve the Gaussian-approximation phase diagram. In particular, these corrections introduce a new conducting phase and make the insulator-conductor coexistence phase end at the conducting phase. The latter result is in agreement with the prediction made by generalized renormalization-group calculations.

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Wen-Fa Lu, Chul Koo Kim. 2001-02-13. Phase Diagram of a Two-Dimensional Neutral Classical Coulomb Gas from a Non-perturbative sine-Gordon Expansion. https://arxiv.org/abs/cond-mat/0102224

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