Absence of Persistent Magnetic Oscillations in Type-II Superconductors

Abstract

We report on a numerical study intended to examine the possibility that magnetic oscillations persist in type II superconductors beyond the point where the pairing self-energy exceeds the normal state Landau level separation. Our work is based on the self-consistent numerical solution for model superconductors of the Bogoliubov-deGennes equations for the vortex lattice state. In the regime where the pairing self-energy is smaller than the cyclotron energy, magnetic oscillations resulting from Landau level quantization are suppressed by the broadening of quasiparticle Landau levels due to the non-uniform order parameter of the vortex lattice state, and by splittings of the quasiparticle bands. Plausible arguments that the latter effect can lead to a sign change of the fundamental harmonic of the magnetic oscillations when the pairing self-energy is comparable to the cyclotron energy are shown to be flawed. Our calculations indicate that magnetic oscillations are strongly suppressed once the pairing self-energy exceeds the Landau level separation.

7 pages, revtex, 7 postscript figures

References in corpus (4)

• Magnetic Oscillations and Quasiparticle Band Structure in the Mixed State of Type-II Superconductors
• de Haas-van Alphen Oscillations in a Superconducting State at High Magnetic Fields
• Superconductivity in High Magnetic Field:Excitation Spectrum and Tunneling Properties
• Quantum Mechanics and Superconductivity in a Magnetic Field

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