Abstract
As a simplified model of randomly pinned vortex lattices or charge-density waves, we study the random-field XY model on square (d=2) and simple cubic (d=3) lattices. We verify in Monte Carlo simulations that the average spacing between topological defects (vortices) diverges more strongly than the Imry-Ma pinning length as the random field strength H is reduced. We suggest that for d=3 the simulation data are consistent with a topological phase transition at a nonzero critical field (Formula presented) to a pinned phase that is defect free at large length scales. We also discuss the connection between the possible existence of this phase transition in the random-field XY model and the magnetic-field-driven transition from a pinned vortex lattice to a vortex glass in weakly disordered type-II superconductors.
Original language | English (US) |
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Pages (from-to) | 15193-15200 |
Number of pages | 8 |
Journal | Physical Review B - Condensed Matter and Materials Physics |
Volume | 53 |
Issue number | 22 |
DOIs | |
State | Published - 1996 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics