Random Field XY Model in Three Dimensions: The Role of Vortices

Abstract

We study vortex states in a 3d random-field XY model of up to one billion lattice spins. Starting with random spin orientations, the sample freezes into the vortex-glass state with a stretched-exponential decay of spin correlations, having short correlation length and a low susceptibility, compared to vortex-free states. In a field opposite to the initial magnetization, peculiar topological objects -- walls of spins still opposite to the field -- emerge along the hysteresis curve. On increasing the field strength, the walls develop cracks bounded by vortex loops. The loops then grow in size and eat the walls away. Applications to magnets and superconductors are discussed.

5 pages, 8 figures

References in corpus (4)

• Super-Rough Glassy Phase of the Random Field XY Model in Two Dimensions
• Structure Factor of the 3D Random Field XY Model
• Instanton Glass Generated by Noise in a Josephson-Junction Array
• Finite-Size Scaling Critical Behavior of Randomly Pinned Spin-Density Waves

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