Nonlinear Meissner effect in a d -wave superconductor: Extension to all orders of the vector potential

The analysis of the intrinsic nonlinear Meissner effect in a d-wave superconductor is extended here to include all vector-potential orders. This is a continuation of the previously published analysis [D. Agassi and D. E. Oates, Phys Rev. B 72, 014538 (2005)] that was carried out to third order of the vector potential. The extended analysis now agrees qualitatively with the experimentally determined power dependence. This new analysis also predicts the power level at which the nonlinear response changes from an intrinsic pair-breaking nonlinearity to one where possibly vortex motion dominates.