Physics – Condensed Matter
Scientific paper
1996-01-25
Phys. Rev. B {53}, 15193 (1996)
Physics
Condensed Matter
LATEX file; 5 Postscript figures are available from gingras@triumf.ca
Scientific paper
10.1103/PhysRevB.53.15193
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, $H_c$, 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 pinned vortex lattice to vortex glass in weakly disordered type-II superconductors.
Gingras Michel J. -P.
Huse David A.
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