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A theory of the Bose glass transition is developed. Mapping vortex trajectories onto world lines of 2D bosons gives a glass transition line as the locus where bosons become localized in the random potential. We describe the glass-to-liquid transition induced by columnar disorder in both dilute and dense vortex systems. A vortex glass transition in the light of the developed description is discussed.
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Larkin et al. (1995) studied this question.
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