Sine-Gordon mean field theory of a Coulomb gas

被引:17
作者
Diehl, A
Barbosa, MC
Levin, Y
机构
关键词
D O I
10.1103/PhysRevE.56.619
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
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 and three dimensions are obtained. When analyzed in terms of chemical potential, the sine-Gordon theory predicts the phase diagram topologically identical to the Monte Carlo simulations and a recently developed Debye-Huckel-Bjerrum theory. In two dimensions 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 the chemical potential to the density is made the whole insulating phase is mapped onto zero density.
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页码:619 / 622
页数:4
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