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

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.

8 pages, 6 figures

References in corpus (27)

• Multiple Superconducting Phases in New Heavy Fermion Superconductor PrOs4Sb12
• Heat Conduction in the Vortex State of NbSe_2: Evidence for Multi-Band Superconductivity
• Gap Structure of the Spin-Triplet Superconductor Sr2RuO4 Determined from the Field-Orientation Dependence of Specific Heat
• Thermal conductivity of single crystalline MgB_2
• Field dependence of the vortex structure in d-wave and s-wave superconductors
• Field-angle Dependence of the Zero-Energy Density of States in the Unconventional Heavy-Fermion Superconductor CeCoIn5
• Quasiparticle Density of States of Clean and Dirty s-Wave Superconductors in the Vortex State
• Quasiparticle thermal conductivity in the vortex state of high-T${}_c$ cuprates
• Field dependence of the zero energy density of states around vortices in an anisotropic gap superconductor
• Low-Field Anomaly in the Specific Heat of s-wave Superconductors due to the Expansion of the Vortex Cores
• Orientational field-dependence of low-lying excitations in mixed state of unconventional superconductors
• Magnetic Oscillations and Quasiparticle Band Structure in the Mixed State of Type-II Superconductors
• Local density of states in the vortex lattice in a type II superconductor
• Quasiparticles of d-wave superconductors in finite magnetic fields
• Spectrum of low energy excitations in the vortex state: comparison of Doppler shift method to quasiclassical approach
• The effect of nonmagnetic impurities on the local density of states in s-wave superconductors
• {\em Ab Initio} Calculations of ${\mathbf{H}}_{c2}$ in Type-II Superconductors: Basic Formalism and Model Calculations
• Field dependence of the vortex structure in chiral p-wave superconductors
• Electronic state around vortex in a two-band superconductor
• Quasiclassical theory of superconducting states under magnetic fields: Thermodynamic properties
• Theory of de Haas-van Alphen Effect in Type-II Superconductors
• Influence of Fermi surface topology on the quasiparticle spectrum in the vortex state
• Effects of Fermi surface and superconducting gap structure in the field-rotational experiments: A possible explanation of the cusp-like singularity in YNi${}_2$B${}_2$C
• Ab initio calculations of H${}_{c2}$ for Nb, NbSe2, and MgB2
• Revised Calculation of ${\mathbf{\kappa }}_2(T)$ for s-wave Type-II Superconductors
• Theory of Flux-Flow Resistivity near $H_{c2}$ for s-wave Type-II Superconductors
• Entropy and Spin Susceptibility of s-wave Type-II Superconductors near $H_{c2}$

Cited by in corpus (16)

• Vortex states in superconductors with strong Pauli-paramagnetic effect
• Pauli Paramagnetic Effects on Vortices in Superconducting TmNi2B2C
• Vortex State and Field-Angle Resolved Specific Heat Oscillation for H // ab in d-Wave Superconductors
• Gauge-invariant microscopic kinetic theory of superconductivity in response to electromagnetic fields
• Pauli-paramagnetic effects on mixed state properties in a strongly anisotropic superconductor ---Application to Sr_2_RuO_4_---
• Impurity scattering in superconductors revisited
• Testing V3Si for two-band superconductivity
• Transverse magnetic field and chiral-nonchiral transition in vortex states for nearly B//ab in chiral p-wave superconductors
• Knight shift spectrum in vortex states in s-wave and d-wave superconductors on the basis of Eilenberger theory
• Microscopic Eilenberger theory of Fulde-Ferrell-Larkin-Ovchinnikov states in the presence of vortices
• Effects of Pnictogen Atmosphere Annealing in Fe${}_{1+y}$Te${}_{0.6}$Se${}_{0.4}$
• Basal-Plane Magnetic Anisotropies of High-kappa d-Wave Superconductors in a Mixed State: A Quasiclassical Approach
• Doping Dependence of Vortex Regimes in Y${}_{1-x}$Pr${}_x$Ba${}_2$Cu${}_3$O${}_{7-\delta }$ Single Crystals
• Thermodynamic signature of a magnetic-field-driven phase transition within the superconducting state of an underdoped high-temperature superconductor
• Quasiclassical theory of vortex states in locally non-centrosymmetric superconductors: application to CeRh${}_2$As${}_2$
• Lower Critical Field Hc1(T) and Pairing Symmetry Based on Eilenberger Theory