Theory of phase transitions in two-dimensional systems

被引:61
作者
Gulacsi, Z
Gulacsi, M
机构
[1] Lajos Kossuth Univ, Dept Theoret Phys, H-4010 Debrecen, Hungary
[2] Australian Natl Univ, Inst Adv Studies, Dept Theoret Phys, Canberra, ACT 0200, Australia
关键词
D O I
10.1080/000187398243564
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
A detailed description of phase transitions in two dimensions is presented based on the two-dimensional classical XY model. After describing the basic physics of topological ordering, the starting model Hamiltonian is constructed for a detailed study. Following this, a direct space renormalization programme is presented. The obtained phase transition is analysed in detail based on the scaling equations. The systematic renormalization group calculation up to third order based on field-theoretical techniques is also presented. The notion of topological excitations from the viewpoint of the dual model is analysed in detail. The D > 2 cases are analysed through the three-dimensional XY model and layered systems. This article is pedagogical in nature and is intended to be accessible to any graduate student or physicist who is not an expert in this field.
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页码:1 / 89
页数:89
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