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When magnetic field is applied parallel to the ab plane in d_{x^2-y^2}-wavesuperconductors, the transition of stable vortex lattice structure, spatialstructure of local density of states, and specific heat oscillation by rotationof magnetic field orientation are investigated by quantitative calculationsbased on the selfconsistent Eilenberger theory. We estimate how the vortexstate changes depending on the relative angle between the node-direction of thesuperconducting gap and magnetic field orientation. To reproduce thesign-change of specific heat oscillation observed in CeCoIn_5, our study isdone by including strong paramagnetic effect. The quantitative theoreticalcalculations give decisive information to analyze the experimental data on thefield-angle dependence, and establish the angle-resolved specific heatexperiment as a spectroscopic means to identify the node-position of thesuperconducting gap.

Vortex State and Field-Angle Resolved Specific Heat Oscillation for H // ab in d-Wave Superconductors