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On the magnetization of two-dimensional superconductors

Vadim Oganesyan·David A. Huse·S. L. Sondhi
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Abstract

We calculate the magnetization of a two-dimensional superconductor in a perpendicular magnetic field near its Kosterlitz-Thouless transition and at lower temperatures. We find that the critical behavior is more complex than assumed in the literature and that, in particular, the critical magnetization is {\it not} field independent as naive scaling predicts. In the low temperature phase we find a substantial fluctuation renormalization of the mean-field result. We compare our analysis with the data on the cuprates.

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Vadim Oganesyan, David A. Huse, S. L. Sondhi. 2005-02-09. On the magnetization of two-dimensional superconductors. https://doi.org/10.1103/physrevb.73.094503

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