Competitive localization of vortex lines and interacting bosons |
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Authors: | Kierfeld J Vinokur V M |
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Institution: | Max-Planck-Institut für Kolloid- und Grenzfl?chenforschung, 14424 Potsdam, Germany. |
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Abstract: | We present a theory for the localization of three-dimensional vortex lines or two-dimensional bosons with a short-ranged repulsive interaction which are competing for a single columnar defect or potential well. For two vortices we use a necklace model approach to find a new kind of delocalization transition between two different states with a single bound particle. This exchange-delocalization transition is characterized by the onset of vortex exchange on the defect for sufficiently weak vortex-vortex repulsion or sufficiently weak binding energy corresponding to high temperature. We calculate the transition point and order of the exchange-delocalization transition. A generalization of this transition to an arbitrary vortex number is proposed. |
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