Ginzburg-Landau-Gor’kov theory of magnetic oscillations in a type-II two-dimensional superconductor

G. Bruun, V. Nikos Nicopoulos, N. Johnson

Research output: Contribution to journalArticlepeer-review

17 Scopus citations


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 eighth order against an exact numerical solution of the corresponding Bogoliubov-de Gennes equations. The perturbation theory is found to describe well the onset of superconductivity close to the transition point (Formula presented). Contrary to earlier calculations by other authors we do not find that the perturbative scheme predicts any maximum of the dHvA oscillations below (Formula presented). 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 the 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.

Original languageEnglish (US)
Pages (from-to)809-825
Number of pages17
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number2
StatePublished - 1997
Externally publishedYes

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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