Theory of the de Haas-van Alphen effect in two-dimensional superconductors

The experimentally observed damping of magnetic oscillations in superconduc tors below B-c2 is qualitatively explained by application of the Lifshitz-K osevich formula with the superconducting gap playing the role of the self-e nergy. In two dimensions this formula omits a leading order term proportion al to oscillations of the self-energy. We apply a recently proposed formali sm to derive the magnetization oscillation amplitude of two-dimensional sup erconductors in the (mixed) superconducting state. We find a significant co rrection to the LK formula, which leads to a sign reversal of the oscillati ons below B-c2.