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.

arXiv comment13+ pages, 6 figures

References in corpus (45)

• Quantum phase transitions
• Quantum phase transitions of metals in two spatial dimensions: II. Spin density wave order
• Quantum critical point lying beneath the superconducting dome in iron-pnictides
• The remarkable underlying ground states of cuprate superconductors
• A Sharp Peak of the Zero-Temperature Penetration Depth at Optimal Composition in BaFe2(As1-xPx)2
• Universal $T$-linear resistivity and Planckian limit in overdoped cuprates
• A strongly correlated metal built from Sachdev-Ye-Kitaev models
• Pseudogap state from quantum criticality
• Scale-invariant magnetoresistance in a cuprate superconductor
• Giant thermal Hall conductivity from neutral excitations in the pseudogap phase of cuprates
• Magnetoresistance near a quantum critical point
• Theory of a Planckian metal
• Doping evolution of superconducting gaps and electronic densities of states in Ba(Fe1-xCox)2As2 iron pnictides
• Quasiparticle mass enhancement close to the quantum critical point in BaFe${}_2$(As${}_{1-x}$P${}_x$)${}_2$
• Translationally invariant non-Fermi liquid metals with critical Fermi-surfaces: Solvable models
• Emerging superconductivity with broken time reversal symmetry inside a superconducting $s$-wave state
• Doping-dependent critical current properties in K, Co, and P-doped BaFe2As2 single crystals
• Energy Gap Evolution Across the Superconductivity Dome in Single Crystals of (Ba${}_{1-x}$K${}_x$)Fe${}_2$As${}_2$
• Phase diagram of iron-pnictides if doping acts as a disorder
• Enhancement of the London penetration depth in pnictides at the onset of SDW order under superconducting dome
• Singularity of the London penetration depth at quantum critical points in superconductors
• How many quantum phase transitions exist inside the superconducting dome of the iron pnictides?
• Transfer of optical spectral weight in magnetically ordered superconductors
• Local characterization of superconductivity in BaFe2(As1-xPx)2
• Anisotropic Non-Fermi Liquids
• Effect of magnetic criticality and Fermi-surface topology on the magnetic penetration depth
• Signatures of quantum criticality in the thermopower of Ba(Fe(1-x)Co(x))2As2
• Electron Mass Enhancement near a Nematic Quantum Critical Point in NaFe${}_{1-x}$Co${}_x$As
• The interplay between superconductivity and non-Fermi liquid at a quantum-critical point in a metal
• Quantum-critical scale invariance in a transition metal alloy
• Nodal quasiparticles and the onset of spin density wave order in the cuprates
• Quantum phase transition inside the superconducting dome of Ba(Fe${}_{1-x}$Co${}_x$)${}_2$As${}_2$ probed by optical magneto-sensing using NV-centers in diamond
• Thermal and electrical transport in metals and superconductors across antiferromagnetic and topological quantum transitions
• Berry phases and the intrinsic thermal Hall effect in high temperature cuprate superconductors
• Phase transition beneath the superconducting dome in BaFe${}_2$(As${}_{1-x}$P${}_x$)${}_2$
• Magnetic penetration depth in disordered iron-based superconductors
• Quantum criticality in two dimensions and Marginal Fermi Liquid
• Thermodynamic signatures of an antiferromagnetic quantum critical point inside a superconducting dome
• Effect of SDW fluctuations on the specific heat jump in iron pnictides at a superconducting transition
• Dependence of the absolute value of the penetration depth in $(\mathbf{B}{\mathbf{a}}_{1-\mathbf{x}}{\mathbf{K}}_{\mathbf{x}})\mathbf{F}{\mathbf{e}}_2\mathbf{A}{\mathbf{s}}_2$ on doping
• Magnetic penetration depth in the presence of a spin-density wave in multiband superconductors at zero temperature
• Fluctuational Anomalous Hall and Nernst Effects in Superconductors
• Anomalous sharp peak in the London penetration depth induced by the nodeless-to-nodal superconducting transition in BaFe${}_2$(As${}_{1-x}$P${}_x$)${}_2$
• Quasiclassical circuit-theory of contiguous disordered multiband superconductors
• Josephsonic diagnostic of competing orders in quantum critical multiband superconductors

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