Anomalous thermodynamic properties of quantum critical superconductors

Abstract

Recent high-precision measurements employing different experimental techniques have unveiled an anomalous peak in the doping dependence of the London penetration depth which is accompanied by anomalies in the heat capacity in iron-pnictide superconductors at the optimal composition associated with the hidden antiferromagnetic quantum critical point. We argue that finite temperature effects can be a cause of observed features. Specifically we show that quantum critical magnetic fluctuations under superconducting dome can give rise to a nodal-like temperature dependence of both specific heat and magnetic penetration depth in a fully gapped superconductor. In the presence of line nodes in the superconducting gap fluctuations can lead to the significant renormalization of the relative slope of $T$-linear penetration depth which is steepest at the quantum critical point. The results we obtain are general and can be applied beyond the model we use.

13+ pages, 6 figures

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Cited by in corpus (8)

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• Inhomogeneous magnetic multiband superconductors
• Quantum criticality in Ce${}_{1-x}$Sm${}_x$CoIn${}_5$
• Thermodynamic properties of nodal superconductors close to a magnetic quantum critical point
• Interacting fermions in narrow-gap semiconductors with band inversion
• Transport anomalies in multiband superconductors near quantum critical point
• Impurity bands in magnetic superconductors with spin density wave
• Reaching Quantum Critical Point by Adding Non-magnetic Disorder in Single Crystals of Superconductor $({\text{Ca}}_x{\text{Sr}}_{1-x}{)}_3{\text{Rh}}_4{\text{Sn}}_{13}$