Phys. Rev. B 45, 786–792 (1992)Frustration, scaling, and local gauge invarianceReceived 15 March 1991; published in the issue dated 1 January 1992 A variety of two- and three-dimensional random frustrated systems with continuous and discrete symmetries are studied within the Migdal-Kadanoff renormalization-group scheme. The continuous-symmetry XY models are approximated by discretized clock models with a large number of clock states. In agreement with earlier studies of the random gauge XY model using a T=0 scaling approach, a nonzero transition temperature is observed in three-dimensional XY models with O(2) local gauge invariance. Our analysis points to the possible importance of local gauge invariance in determining the lower critical dimensionality of frustrated systems. © 1992 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.45.786
DOI:
10.1103/PhysRevB.45.786
PACS:
75.10.Nr, 05.70.Fh, 74.60.-w
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