Entropy and Spin Susceptibility of s-wave Type-II Superconductors near $H_{c2}$

Abstract

A theoretical study is performed on the entropy $S_{\mathrm{s}}$ and the spin susceptibility ${\chi }_{\mathrm{s}}$ near the upper critical field $H_{c2}$ of s-wave type-II superconductors with arbitrary impurity concentrations. The changes of these quantities through $H_{c2}$ may be expressed as $[S_{\mathrm{s}}(T,B)-S_{\mathrm{s}}(T,0)]/[S_{\mathrm{n}}(T)-S_{\mathrm{s}}(T,0)]=1-{\alpha }_S(1-B/H_{c2})\approx (B/H_{c2}{)}^{{\alpha }_S}$, for example, where $B$ is the average flux density and $S_{\mathrm{n}}$ denotes entropy in the normal state. It is found that the slopes ${\alpha }_S$ and ${\alpha }_{\chi }$ at T=0 are identical, connected directly with the zero-energy density of states, and vary from 1.72 in the dirty limit to $0.5\sim 0.6$ in the clean limit. This mean-free-path dependence of ${\alpha }_S$ and ${\alpha }_{\chi }$ at T=0 is quantitatively the same as that of the slope ${\alpha }_{\rho }(T=0)$ for the flux-flow resistivity studied previously. The result suggests that $S_{\mathrm{s}}(B)$ and ${\chi }_{\mathrm{s}}(B)$ near T=0 are convex downward (upward) in the dirty (clean) limit, deviating substantially from the linear behavior $\propto B/H_{c2}$. The specific-heat jump at $H_{c2}$ also shows fairly large mean-free-path dependence.

arXiv comment8 pages, 5 figures

References in corpus (4)

• Quasiparticle Density of States of Clean and Dirty s-Wave Superconductors in the Vortex State
• Low-Field Anomaly in the Specific Heat of s-wave Superconductors due to the Expansion of the Vortex Cores
• 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

Cited by in corpus (4)

• Field dependence of the zero energy density of states around vortices in an anisotropic gap superconductor
• {\em Ab Initio} Calculations of ${\mathbf{H}}_{c2}$ in Type-II Superconductors: Basic Formalism and Model Calculations
• Magnetic-Field Dependences of Thermodynamic Quantities in the Vortex State of Type-II Superconductors
• Mixed-State Thermodynamics of Superconductors with Moderately Large Paramagnetic Effects