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The Beresinskii-Kosterlitz-Thouless (BKT) physics of vortices in two-dimensional superconductors at finite magnetic field is investigated by means of a field-theoretical approach based on the sine-Gordon model. This description leads to a straightforward definition of the field-induced magnetization and shows that the persistence of nonlinear effects at low fields above the transition is a typical signature of the fast divergence of the correlation length within the BKT theory.
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Benfatto et al. (2007) studied this question.
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