Structure Factor of the 3D Random Field XY Model

Abstract

We have performed Monte Carlo studies of the 3D random field XY model on $L\times L\times L$ simple cubic lattices, with random field strengths of $h_r$ = 1 and 2. We present results for the angle-averaged magnetic structure factor, $S(k)$ at $L=64$. Our results appear to indicate a phase transition into a ferromagnetic state. This is made possible by the existence of a Griffiths singularity. It appears that at the phase transition $M^2$ jumps to zero discontinuously, with a latent heat which is probably subextensive.

12 pages, 3 figures

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• Domain Growth and Aging in the Random Field XY Model: A Monte Carlo Study
• Ordered vs Disordered States of the Random-Field Model in Three Dimensions
• Finite-Size Scaling Critical Behavior of Randomly Pinned Spin-Density Waves
• Random Field XY Model in Three Dimensions: The Role of Vortices
• Critical behaviours of anisotropic XY ferromagnet in the presence of random field
• Static and Microwave Properties of Amorphous Magnets Near Saturation
• Behavior of the Random Field $XY$ Model on Simple Cubic Lattices at $h_r=1.5$