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
相关论文
共 42 条
[21]   COULOMBIC CRITICALITY IN GENERAL DIMENSIONS [J].
LEVIN, Y ;
LI, XJ ;
FISHER, ME .
PHYSICAL REVIEW LETTERS, 1994, 73 (20) :2716-2719
[22]  
LI XH, UNPUB
[23]   RESULTS FOR THE PHASE-DIAGRAM OF THE TWO-DIMENSIONAL COULOMB GAS [J].
MINNHAGEN, P ;
WALLIN, M .
PHYSICAL REVIEW B, 1989, 40 (07) :5109-5130
[24]   NONUNIVERSAL JUMPS AND THE KOSTERLITZ-THOULESS TRANSITION [J].
MINNHAGEN, P .
PHYSICAL REVIEW LETTERS, 1985, 54 (21) :2351-2354
[25]   NEW PHASE-DIAGRAM FOR THE TWO-DIMENSIONAL COULOMB GAS [J].
MINNHAGEN, P ;
WALLIN, M .
PHYSICAL REVIEW B, 1987, 36 (10) :5620-5623
[26]   THE TWO-DIMENSIONAL COULOMB GAS, VORTEX UNBINDING, AND SUPERFLUID-SUPERCONDUCTING FILMS [J].
MINNHAGEN, P .
REVIEWS OF MODERN PHYSICS, 1987, 59 (04) :1001-1066
[27]   SOLID AND FLUID PHASES IN SMECTIC LAYERS WITH TILTED MOLECULES [J].
NELSON, DR ;
HALPERIN, BI .
PHYSICAL REVIEW B, 1980, 21 (11) :5312-5329
[28]  
Nienhuis B., 1987, PHASE TRANSITIONS CR, V11
[29]   XY MODEL AND THE SUPERFLUID DENSITY IN 2 DIMENSIONS [J].
OHTA, T ;
JASNOW, D .
PHYSICAL REVIEW B, 1979, 20 (01) :139-146
[30]   PHASE-TRANSITION IN 2-D SINE-GORDON SYSTEM [J].
OHTA, T .
PROGRESS OF THEORETICAL PHYSICS, 1978, 60 (04) :968-974