Frustration, scaling, and local gauge invariance

Journal Article · Wed Jan 01 04:00:00 EST 1992 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.45.786· OSTI ID:5132890

Cieplak, M ^[1]; Banavar, J R ^[2]; Li, M S ^[3]; Khurana, A ^[4]

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1. Department of Physics, The Pennsylvania State University, University Park, Pennsylvania 16802 (United States) Institute of Physics, Polish Academy of Sciences, 02-668 Warsaw (Poland)
2. Department of Physics and Materials Research Laboratory, The Pennsylvania State University, University Park, Pennsylvania 16802 (United States)
3. Institute of Physics, Polish Academy of Sciences, 02-668 Warsaw (Poland)
4. Institute for Theoretical Physics, University of Amsterdam, Valckenierstraat 85, 1018XE Amsterdam (Netherlands)

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 {ital XY} models are approximated by discretized clock models with a large number of clock states. In agreement with earlier studies of the random gauge {ital XY} model using a {ital T}=0 scaling approach, a nonzero transition temperature is observed in three-dimensional {ital 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.

• OSTI ID: 5132890
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 45:2; ISSN 0163-1829; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

665000* -- Physics of Condensed Matter-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
FLUX QUANTIZATION
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
MATHEMATICS
NUMERICAL ANALYSIS
PHYSICAL PROPERTIES
RANDOMNESS
SCALING
STATISTICAL MODELS
SUPERCONDUCTIVITY
THERMODYNAMIC PROPERTIES
TRANSITION TEMPERATURE