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Phys. Rev. B 61, 14787–14790 (2000)

Disorder-induced topological defects in a d=2 elastic medium at zero temperature

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A. Alan Middleton
Department of Physics, Syracuse University, Syracuse, New York 13244

Received 22 February 2000; published in the issue dated 1 June 2000

The density and correlations of topological defects are investigated numerically in a model of a d=2 elastic medium subject to a periodic quenched random potential. The computed density of defects decreases approximately exponentially with the defect core energy. Comparing the defect-free ground state with the ground state with defects, it is found that the difference is described by stringlike excitations, bounded by defect pairs, which have a fractal dimension of 1.250±0.003. At zero temperature, the disorder-induced defects screen the interaction of introduced vortex pairs.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.61.14787
DOI:
10.1103/PhysRevB.61.14787
PACS:
74.60.Ge, 02.60.Pn, 02.70.Lq, 75.10.Nr