Theoretical study for quantitative estimate for properties of vortex states, and extension to multi-component superconductors

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Spatial structure of vortex states in unconventional superconductors was theoretically studied, in order to establish theoretical methods to quantitatively estimate the temperature and magnetic field dependence of physical quantities, such as specific heat, magnetization, small angle neutron scattering intensity, and NMR spectrum. Using these, we extract information about mechanisms of unconventional superconductivity. The numerical methods to calculate vortex states in multicomponent superconductors, including spin-triplet pairing, were also developed.