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 > 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.
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