Minimizers of the Lawrence–Doniach Functional with Oblique Magnetic Fields

We study minimizers of the Lawrence–Doniach energy, which describes equilibrium states of superconductors with layered structure, assuming Floquet-periodic boundary conditions. Specifically, we consider the effect of a constant magnetic field applied obliquely to the superconducting planes in the limit as both the layer spacing s → 0 and the Ginzburg–Landau parameter $${\kappa = \epsilon^{-1} \to \infty}$$, under the hypotheses that …