Nonlocal Ginzburg-Landau Theory for d-wave Superconductors
Abstract
We study the Ginzburg-Landau model with a nonlocal quartic term as a phenomenological model for superconductors in the presence of coupling between the vortex lattice and the underlying crystal lattice, which might originate from d-wave pairing symmetry or magnetoelastic effects. In mean-field theory, our model is consistent with a general oblique vortex lattice. We also study vortex correlation in the vortex liquid regime by calculating the structure factor nonperturbatively. We find Bragg-like peaks with four-fold symmetry appearing in the structure factor even though there is only a short-range crystalline order.Keywords
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