Structure factor of the three-dimensional random-fieldXYmodel: Monte Carlo calculations

2007/09/30 by Ronald Fisch · 1 citation
Physics and Astronomy · #Magnetic properties of thin films #Physics of Superconductivity and Magnetism #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevb.76.214435

published as Phys. Rev. B 76, 214435 (2007) · 12 pages, 3 figures

arxiv created 2007/11/16 · openalex publication_date 2007/12/28 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We have performed Monte Carlo studies of the three-dimensional random-field XY model on L\ifmmode×\else\texttimes\fiL\ifmmode×\else\texttimes\fiL 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, M² jumps to zero discontinuously, with a latent heat which is probably subextensive.

Citations

• Three-dimensional random-field Ising magnet: Interfaces, scaling, and the nature of states
• Effect of random defects on the critical behaviour of Ising models
• Subextensive Singularity in the 2D ± J Ising Spin Glass

Cited by

• Scaling Behavior in the 3D Random Field XY Model