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We have studied the field-orientational dependence of zero-energy density ofstates (FODOS) for a series of systems with different Fermi surface andsuperconducting gap structures. Instead of phenomenological Doppler-shiftmethod, we use an approximate analytical solution of Eilenberger equationtogether with self-consistent determination of order parameter and avariational treatment of vortex lattice. First, we compare zero-energy densityof states (ZEDOS) when a magnetic field is applied in the nodal direction($\nu_{node}(0)$) and in the antinodal direction ($\nu_{anti}(0)$), by takingaccount of the field-angle dependence of order parameter. As a result, we foundthat there exists a crossover magnetic field $H^*$ so that $\nu_{anti}(0) >\nu_{node}(0)$ for $H < H^*$, while $\nu_{node}(0) > \nu_{anti}(0)$ for $H >H^*$, consistent with our previous analyses. Next, we showed that $H^*$ and theshape of FODOS are determined by contribution from the small part of Fermisurface where Fermi velocity is parallel to field-rotational plane. Inparticular, we found that $H^*$ is lowered and FODOS has broader minima, when asuperconducting gap has point nodes, in contrast to the result of theDoppler-shift method. We also studied the effects of in-plane anisotropy ofFermi surface. We found that in-plane anisotropy of quasi-two dimensional Fermisurface sometimes becomes larger than the effects of Doppler-shift and candestroy the Doppler-shift predominant region. In particular, this tendency isstrong in a multi-band system where superconducting coherence lengths areisotropic. Finally, we addressed the problem of cusp-like singularity inYNi$_2$B$_2$C and present a possible explanation of this phenomenon.Comment: 13pages, 23figure

physical review. b, condensed matter and materials physics

Effects of Fermi surface and superconducting gap structure in field-rotational experiments: A possible explanation for the cusplike singularity in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="normal">Y</mml:mi><mml:msub><mml:mi mathvariant="normal">Ni</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">B</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math>

Effects of Fermi surface and superconducting gap structure in field-rotational experiments: A possible explanation for the cusplike singularity inYNi2B2C