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

G. M. Bruun, V. Nikos Nicopoulos, Neil F Johnson

Research output: Contribution to journalArticle

17 Citations (Scopus)

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 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 Hc2. Contrary to earlier calculations by other authors we do not find that the perturbative scheme predicts any maximum of the dHvA oscillations below Hc2. 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
Volume56
Issue number2
StatePublished - Jul 1 1997
Externally publishedYes

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Chemical potential
Superconductivity
Superconducting materials
Conservation
Vortex flow
Damping
oscillations
perturbation theory
Experiments
transition points
conservation
superconductivity
damping
vortices
harmonics
perturbation
expansion
coefficients

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Ginzburg-Landau-Gor'kov theory of magnetic oscillations in a type-II two-dimensional superconductor. / Bruun, G. M.; Nicopoulos, V. Nikos; Johnson, Neil F.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 56, No. 2, 01.07.1997, p. 809-825.

Research output: Contribution to journalArticle

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