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

Hidenori Suzuki and Masuo Suzuki

Physica A: Statistical Mechanics and its Applications, 2005, vol. 353, issue C, 309-322

Abstract: 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>Tc but also for T⩽Tc. 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.

Keywords: Critical phenomena; Spontaneous symmetry braking; Boundary effect; Ising model; Exact formula (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:353:y:2005:i:c:p:309-322

DOI: 10.1016/j.physa.2005.02.007

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