ON THE ABSENCE OF INTERMEDIATE PHASES IN THE 2-DIMENSIONAL COULOMB GAS

被引:26
作者
FISHER, ME
LI, XJ
LEVIN, Y
机构
[1] Institute for Physical Science and Technology, University of Maryland, College Park, 20742, Maryland
关键词
COULOMB GAS; SINE-GORDON FIELD THEORY; 2-DIMENSIONAL COULOMB GASES; KOSTERLITZ-THOULESS PHASE; PLASMA PHASE; MULTIPOLE PHASES; BJERRUM ION PAIRS; DEBYE-HUCKEL THEORY; ABSENCE OF INTERMEDIATE PHASES; MAYER COEFFICIENTS; DENSITY AND VIRIAL EXPANSIONS; ANOMALOUS ACTIVITY EXPANSIONS; EQUATION OF STATE IN 2 DIMENSIONS; RESTRICTED PRIMITIVE MODEL;
D O I
10.1007/BF02179380
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
For a simple, continuum two-dimensional Coulomb gas (with ''soft'' cutoff), Gallavotti and Nicolo [J. Stat. Phys. 38:133-156 (1985)] have proved the existence of finite coefficients in the Mayer activity expansion up to order 2n below a series of temperature thresholds T-n = T-infinity[1 + (2n - 1)(-1)] (n = 1, 2,...). With this in mind they conjectured that an infinite sequence of intermediate, multipole phases appears between the exponentially screened plasma phase above T-1 and the full, unscreened Kosterlitz-Thouless phase below T-infinity = T-KT. We demonstrate that Debye-Huckel-Bjerrum theory, as recently investigated for d = 2 dimensions, provides a natural and quite probably correct explanation of the pattern of finite Mayer coefficients while indicating the total absence of any intermediate phases at nonzero density rho; only the KT phase extends to rho > 0.
引用
收藏
页码:1 / 11
页数:11
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