Chiral exponents of the square-lattice frustrated [ital XY] model: A Monte Carlo transfer-matrix calculation

Thermal and chiral critical exponents of the fully frustrated [ital XY] model on a square lattice are obtained from a finite-size scaling analysis of the free energy of chiral domain walls. Data were obtained by extensive Monte Carlo transfer-matrix computations for infinite strips of widths up to 1...

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Bibliographic Details
Published in:Physical review. B, Condensed matter Condensed matter, 1993-09, Vol.48:10
Main Authors: Granato, E., Nightingale, M.P.
Format: Article
Language:English
Subjects:
665400 - Quantum Physics Aspects of Condensed Matter- (1992-)
CALCULATION METHODS
COMPUTERIZED SIMULATION
CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
DOMAIN STRUCTURE
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
MONTE CARLO METHOD
ORDER PARAMETERS
PHASE TRANSFORMATIONS
PHYSICAL PROPERTIES
SCALING
SIMULATION
SUPERCONDUCTIVITY
TRANSFER MATRIX METHOD
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Summary:Thermal and chiral critical exponents of the fully frustrated [ital XY] model on a square lattice are obtained from a finite-size scaling analysis of the free energy of chiral domain walls. Data were obtained by extensive Monte Carlo transfer-matrix computations for infinite strips of widths up to 14 lattice spacings. Two transfer matrices were implemented, one for each of two principal lattice directions. The results of both are consistent, but the critical exponents differ significantly from the pure Ising values. This is in agreement with other recent Monte Carlo simulations. Our results also support the identification of the critical behavior of this model with that along the line of transitions of simultaneous ordering or becoming critical of Ising and planar rotor degrees of freedom in the [ital XY]-Ising model studied recently.
ISSN:0163-1829
1095-3795
DOI:10.1103/PhysRevB.48.7438