Exact oblique boundary-boundary correlation functions of the two-dimensional ising model

被引：2
|
作者：
Suzuki, H [1 ]
Suzuki, M [1 ]
机构：
[1] Tokyo Univ Sci, Fac Sci, Dept Appl Phys, Shinjuku Ku, Tokyo 1628601, Japan
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2005年 / 353卷 / 353期
关键词：
critical phenomena; spontaneous symmetry braking; boundary effect; Ising model; exact formula;
D O I：
10.1016/j.physa.2005.02.007
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The boundary-boundary correlation in an arbitrary oblique direction for the two-dimensional Ising model is calculated exactly using the topological interaction method. It is shown that these correlation functions satisfy Morita's sum rule not only for T > T-c but also for T <= T-c. The asymptotic form of the oblique boundary-boundary correlation functions is derived. Non-monotonic behaviour of the oblique boundary-boundary correlation functions with respect to the system-size is found by using numerical calculations of an exact integral representation of the oblique correlation. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码：309 / 322
页数：14
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