Gauge symmetries in random magnetic systems

Journal Article · Wed Nov 01 04:00:00 EST 1978 · Phys. Rev., B: Solid State; (United States)

DOI:https://doi.org/10.1103/PhysRevB.18.4789· OSTI ID:6583159

Fradkin, E; Huberman, B A; Shenker, S H

We study random magnetic systems emphasizing the concept of gauge invariance and gauge-invariant disorder (frustration) introduced by Toulouse and Anderson. We formulate our models in a gauge-invariant manner and introduce gauge-invariant correlation functions to isolate the effects of gauge-invariant disorder. Specifically, we study the Ising and X-Y models in two and three dimensions in a frozen distribution of frustrations. Using duality transformations, we obtain expressions for the energetics of frustrations and their effect on correlations. We study simple configurations of frustrations quantitatively. In addition we reformulate the quenching procedure in terms of frustrations.

• Research Organization: Stanford Linear Accelerator Center, Stanford, California 94305
• OSTI ID: 6583159
• Journal Information: Phys. Rev., B: Solid State; (United States), Journal Name: Phys. Rev., B: Solid State; (United States) Vol. 18:9; ISSN PLRBA
• Country of Publication: United States
• Language: English

Related Subjects

656000* -- Condensed Matter Physics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CRITICAL TEMPERATURE
CRYSTAL MODELS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
ISING MODEL
MAGNETIC PROPERTIES
MAGNETS
MATHEMATICAL MODELS
ORDER-DISORDER TRANSFORMATIONS
PHASE TRANSFORMATIONS
PHYSICAL PROPERTIES
THERMODYNAMIC PROPERTIES
TRANSITION TEMPERATURE
TWO-DIMENSIONAL CALCULATIONS