Ginzburg-Landau-Gor'kov Theory of Magnetic oscillations in a type-II 2-dimensional Superconductor

Abstract

We investigate de Haas-van Alphen (dHvA) oscillations in the mixed state of a type-II two-dimensional superconductor within a self-consistent Gor'kov perturbation scheme. Assuming that the order parameter forms a vortex lattice we can calculate the expansion coefficients exactly to any order. We have tested the results of the perturbation theory to fourth and eight order against an exact numerical solution of the corresponding Bogoliubov-de Gennes equations. The perturbation theory is found to describe the onset of superconductivity well close to the transition point $H_{c2}$. Contrary to earlier calculations by other authors we do not find that the perturbative scheme predicts any maximum of the dHvA-oscillations below $H_{c2}$. Instead we obtain a substantial damping of the magnetic oscillations in the mixed state as compared to the normal state. We have examined the effect of an oscillatory chemical potential due to particle conservation and the effect of a finite Zeeman splitting. Furthermore we have investigated the recently debated issue of a possibility of a sign change of the fundamental harmonic of the magnetic oscillations. Our theory is compared with experiment and we have found good agreement.

39 pages, 8 figures. This is a replacement of supr-con/9608004. Several sections changed or added, including a section on the effect of spin and the effect of a conserved number of particles. To be published in Phys. Rev. B

References in corpus (5)

• 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
• Absence of Persistent Magnetic Oscillations in Type-II Superconductors
• Non-perturbative Effects Near the Upper Critical Field in Type-II Superconductors
• Validity of the Gor'kov expansion near the upper critical field in type II superconductors

Cited by in corpus (6)

• De Haas-van Alphen effect in two- and quasi two-dimensional metals and superconductors
• Theory of de Haas-van Alphen Effect in Type-II Superconductors
• Acoustic attenuation in a type-II superconductor at high magnetic fields
• Coherence in the Quasi-Particle 'Scattering' by the Vortex Lattice in Pure Type-II Superconductors
• General pairing theory for condensed and non-condensed pairs of a superconductor in a high magnetic field
• A Damping of the de Haas-van Alphen Oscillations in the superconducting state