Possible Scenarios of a Phase Transition from Isotropic Liquid to a Hexatic Phase in the Theory of Melting in Two-Dimensional Systems

被引:1
作者
Ryzhov, V. N. [1 ]
Tareyeva, E. E. [1 ]
机构
[1] RAS, Vereshchagin Inst High Pressure Phys, Troitsk, Moscow Oblast, Russia
基金
俄罗斯基础研究基金会;
关键词
melting in two-dimensional systems; hexatic phase; density functional method; BOND ORIENTATIONAL ORDER; DENSITY-FUNCTIONAL THEORY; STATISTICAL-MECHANICS; VORTEX SYSTEM; DIMENSIONS; SUPERCONDUCTING FILM; DIAGRAM; CRYSTALLIZATION; 1ST-ORDER;
D O I
10.1134/S0040577919070092
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A two-stage process consisting of two continuous Berezinskii-Kosterlitz-Thouless-type transitions with an intermediate anisotropic liquid, a hexatic phase, is a well-known scenario of melting in two-dimensional systems. A direct first-order transition, similar to melting in three-dimensional systems, is another scenario variant. We prove the possibility in principle of the existence of a third scenario according to which melting occurs via two transitions, but in contrast to predictions of the Berezinskii-Kosterlitz-Thouless theory, the transition from an isotropic liquid to a hexatic phase is a first-order transition. Such a scenario was recently observed in a computer simulation of two-dimensional systems and then in a real experiment. Our proof is based on an analysis of branching solutions of an exact closed nonlinear integral equation for a two-particle conditional distribution function.
引用
收藏
页码:1053 / 1062
页数:10
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