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The Beresinskii-Kosterlitz-Thouless (BKT) physics of vortices intwo-dimensional superconductors at finite magnetic field is investigated bymeans of a field-theoretical approach based on the sine-Gordon model. Thisdescription leads to a straightforward definition of the field-inducedmagnetization and shows that the persistence of non-linear effects at lowfields above the transition is a typical signature of the fast divergence ofthe correlation length within the BKT theory.

Sine-Gordon description of Beresinskii-Kosterlitz-Thouless physics at finite magnetic field