Eilenberger and London theories for transverse components of flux line lattice form factors in uniaxial superconductors

Abstract

We theoretically study the magnetic field orientation dependence of longitudinal and transverse flux line lattice form factors in uniaxial superconductors with anisotropy ratio corresponding to ${\mathrm{YBa}}_{2}{\mathrm{Cu}}_{3}{\mathrm{O}}_{7\ensuremath{-}\ensuremath{\delta}}$. We discuss influences of the anisotropy ratio of coherence length and differences between the $s$-wave and the ${d}_{{x}^{2}\ensuremath{-}{y}^{2}}$-wave pairings. The calculations are performed by two methods, the Eilenberger theory and the London theory comparatively, and we study the cutoff function of the extended London theory, which will be helpful in the analysis of the small angle neutron scattering in the vortex states.