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Kosterlitz-Thouless physics: a review of key issues

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REPORTS ON PROGRESS IN PHYSICS
卷 79, 期 2, 页码 -

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IOP Publishing Ltd
DOI: 10.1088/0034-4885/79/2/026001

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two dimensions; topological defects; renormalization group; superfluid Helium; superconducting films; two dimensional crystals; cold atom arrays

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This article reviews, from a very personal point of view, the origins and the early work on transitions driven by topological defects such as vortices in the two dimensional planar rotor model and in (4)Helium films and dislocations and disclinations in 2D crystals. I cover the early papers with David Thouless and describe the important insights but also the errors and oversights since corrected by other workers. I then describe some of the experimental verifications of the theory and some numerical simulations. Finally applications to superconducting arrays of Josephson junctions and to recent cold atom experiments are described.

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