Vortex-lattice solutions of the microscopic Gorkov equations for a type-II superconductor in a strong quantizing magnetic field

J. C. Ryan; A. K. Rajagopal

doi:10.1103/PhysRevB.47.8843

← Back to search

Vortex-lattice solutions of the microscopic Gorkov equations for a type-II superconductor in a strong quantizing magnetic field

J. C. Ryan, A. K. Rajagopal

DOI 10.1103/PhysRevB.47.8843 · Physical Review B

T1

Active bibliographic source — not scientific approval

Bibliographic access preserves source history; it does not approve extracted materials or validate reported claims. Review warnings on each occurrence separately.

Abstract

We derive solutions of the Gorkov equations for a type-II superconductor using the fact that the vortex lattice is a consequence of translation and gauge covariance. We thus generalize the Abrikosov solutions of the vortex lattice to include Cooper pairing in higher-order Landau indices relevant to low temperatures and high quantizing second critical fields where the semiclassical assumptions of the Ginzburg-Landau theory break down. Detailed calculations of the pairing amplitudes are presented for triangular and square lattices in a diagonal Landau-state approximation illustrating the effects of temperature and magnetic field on the vortex lattices. These solutions are also of interest because they give a purely microscopic view of the vortex lattice and the correlations responsible for it.