Critical behavior of two-dimensional magnetic systems with dipole-dipole interactions
Geldart, D. J. W.
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The critical exponents of two-dimensional dipolar magnetic systems with isotropic in-plane ordering may be obtained from the expansion which determines the exponents of isotropic three-dimensional dipolar systems. However, a two-dimensional dipolar system with uniaxial in-plane ordering requires a new expansion with upper critical dimension dc=31/2. The possible relevance to experimental studies of monolayers of gadolinium is briefly discussed
De'Bell, K., and D. J. W. Geldart. 1989. "Critical behavior of two-dimensional magnetic systems with dipole-dipole interactions." Physical Review B (Condensed Matter) 39(1): 743-4. Copyright © 1989 American Physical Society.