Abstract
We develop an alternative method to solve the Eilenberger equations numerically for the vortex-lattice states of type-II superconductors. Using it, we clarify the magnetic-field and impurity-concentration dependences of the magnetization, the entropy, the Pauli paramagnetism, and the mixing of higher Landau levels in the pair potential for two-dimensional $s$- and ${d}_{{x}^{2}\ensuremath{-}{y}^{2}}$-wave superconductors with the cylindrical Fermi surface.
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