Vortex state in d-wave superconductors with strong paramagnetism: transport and specific heat anisotropy

Abstract

We analyse the combined effect of orbital and Pauli depairing on the superconducting state, and apply the results to the heavy fermion CeCoIn${}_5$. We find that: a) standard extrapolation based on the slope of $H_{c2}(T)$ in the vicinity of the transition temperature to T=0 does not always give accurate values of the orbital upper critical field; b) critical value of the Maki parameter, $\alpha$, that determines onset of the first order transition depends on the Fermi surface shape and the symmetry of the gap, and is ${\alpha }^{\ast }\approx 3$ for CeCoIn${}_5$; c) the anisotropy of the thermodynamic and transport coefficients in the low-temperature, low-field part of the phase diagram is essentially insensitive to the Zeeman field and can be used to determine the nodal directions in Pauli-limited superconductors. The latter result confirms the finding of the $d_{x^2-y^2}$ order parameter CeCoIn${}_5$.

10 pages, 9 figures

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Cited by in corpus (10)

• Twofold spontaneous symmetry breaking in a heavy fermion superconductor UPt${}_3$
• Kinetic-energy driven superconductivity in cuprate superconductors
• Vortex State and Field-Angle Resolved Specific Heat Oscillation for H // ab in d-Wave Superconductors
• Field-angle-resolved anisotropy in superconducting CeCoIn5 using realistic Fermi surfaces
• Doping dependence of Meissner effect in cuprate superconductors
• Vortex lattice studies in CeCoIn5 with H perpendicular to c
• Magnetic field induced reduction of the low-temperature superfluid density in cuprate superconductors
• Multi-band Eilenberger theory of superconductivity: Systematic low-energy projection
• Connection between in-plane upper critical field $H_{c2}$ and gap symmetry in layered $d$-wave superconductors revisited
• Angular dependence of the upper critical induction of clean $s$- and $d_{x^2-y^2}$-wave superconductors with self-consistent ellipsoidal effective mass and Zeeman anisotropies