De'Bell, K.Geldart, D. J. W.2013-06-192013-06-191989-01/01De'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.0163-1829http://dx.doi.org/10.1103/PhysRevB.39.743http://hdl.handle.net/10222/24906The 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 discussedGadoliniumMagnetic transitionsMonolayersSpin Hamiltoniansarticle391743