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By measuring angular-oscillation behavior of the heat capacity with respectto the applied field direction, one can detect the details of the gapstructure. We introduce the Kramer-Pesch approximation (KPA) as a new method toanalyze the field-angle-dependent experiments quantitatively. We calculate thezero energy density of states for various combinations of typical Fermisurfaces and superconducting gaps. The KPA yields a merit that one canquantitatively compare theoretical calculations with experimental resultswithout involving heavy numerical computations, even for complicated Fermisurfaces. We show an inadequacy of the frequently-used Doppler-shift technique,which is remedied by application of the KPA.

physical review letters

Kramer-Pesch approximation for analyzing field-angle-resolved  measurements made in unconventional superconductors: A calculation of the  zero-energy density of states