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

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Abstract

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.

Original languageEnglish (US)
Pages (from-to)14787-14790
Number of pages4
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume61
Issue number21
StatePublished - 2000

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elastic media
disorders
Defects
defects
Temperature
temperature
Ground state
ground state
Fractal dimension
fractals
Vortex flow
vortices
excitation

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

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abstract = "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.",
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AB - 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.

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