Ground state of the uniformly frustrated two-dimensional XY model near f=1/2

Teitel and Jayaprakash have conjectured that the ground states for the uniformly frustrated {ital XY} model (a model for the Josephson network in a magnetic field) are periodic on a {ital q}{times}{ital q} cell when the frustration factor {ital f} (the magnetic flux measured in units of the flux qua...

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Bibliographic Details
Published in:Physical review. B, Condensed matter Condensed matter, 1991-04, Vol.43 (10), p.7651-7654
Main Authors: Kolahchi, MR, Straley, JP
Format: Article
Language:English
Subjects:
656100 - Condensed Matter Physics- Superconductivity
CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
CRYSTAL LATTICES
CRYSTAL STRUCTURE
ENERGY LEVELS
GROUND STATES
HAMILTONIANS
HIGH-TC SUPERCONDUCTORS
JOSEPHSON JUNCTIONS
JUNCTIONS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
QUANTUM OPERATORS
SUPERCONDUCTING JUNCTIONS
SUPERCONDUCTORS
TWO-DIMENSIONAL CALCULATIONS
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Summary:Teitel and Jayaprakash have conjectured that the ground states for the uniformly frustrated {ital XY} model (a model for the Josephson network in a magnetic field) are periodic on a {ital q}{times}{ital q} cell when the frustration factor {ital f} (the magnetic flux measured in units of the flux quantum) is a rational number {ital p}/{ital q}. We have found examples for {ital f} close to 1/2 where a larger cell---apparently 2{ital q}{times}2{ital q}---is required. We conjecture that something similar occurs whenever {ital f} is sufficiently close to a simple ratio.
ISSN:0163-1829
1095-3795
DOI:10.1103/PhysRevB.43.7651