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Phys. Rev. Lett. 76, 4813–4816 (1996)

Correlation Functions in a Corner-Shaped Ising Model

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D. B. Abraham1,2,3 and F. T. Latrémolière1
1Department of Physics (Theoretical Physics), 1 Keble Rd, Oxford OX1 3NP, United Kingdom
2Laboratoire de Physique Théorique de l'École Normale Supérieure, 24 rue Lhomond, 75231 Paris Cedex 05, France
3School of Mathematics, Institute for Advanced Study, Princeton, New Jersey 08540

Received 27 June 1995; published in the issue dated 17 June 1996

We obtain exact results at all temperatures for the two-point function of surface spins near the corner of a two-dimensional rectangular Ising ferromagnet; at the critical point, the functional form predicted by conformal theory is recovered. We are also able to calculate exactly a large class of correlation functions involving spins off the surface, and to interpret the results geometrically.

© 1996 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.76.4813
DOI:
10.1103/PhysRevLett.76.4813
PACS:
75.10.Hk