Abstract
We have considered microscopically de Haas van Alphen (dHvA) oscillations in a vortex-lattice (VL) state of layered superconductors and shown that factors of damping of these oscillations are: a) additional electron scattering on VL imperfections, resulting in a Dingle-like exponential factor depending on the order parameter and magnetic field, H, b) Landau level broadening into dispersive bands caused by periodic VL, c) the energy gap at the Fermi level, d) the layer-factor, depending on the stacking of the layers. Factors b)-d) damp dHvA amplitudes in a nonexponential fashion. In particular, the factor d) modulating dHvA oscillation due to the layered structure of superconductors is determined by the one-dimensional density of states, g(E), related with the electronic transport across the layers. It is periodic function in 1/H with frequencies depending on location of singularities in g(E) (van Hove singularities and the ones due to the stacking faults).
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