Magnetic-Field Dependences of Thermodynamic Quantities in the Vortex State of Type-II Superconductors

TL;DR

This paper introduces a new numerical method to analyze vortex states in type-II superconductors, revealing how magnetic field and impurities influence thermodynamic properties and pairing states.

Contribution

It presents an alternative numerical approach to solve Eilenberger equations, enabling detailed study of vortex states in various superconductors with different pairing symmetries.

Findings

Magnetization and entropy depend on magnetic field and impurity levels.

Higher Landau level mixing varies with superconductor type.

Impurity concentration significantly affects thermodynamic quantities.

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 $d_{x^2-y^2}$-wave superconductors with the cylindrical Fermi surface.