Phase transition beneath the superconducting dome in BaFe${}_2$(As${}_{1-x}$P${}_x$)${}_2$

Abstract

We present a theory for the large suppression of the superfluid-density, ${\rho }_s$, in BaFe${}_2$(As${}_{1-x}$P${}_x$)${}_2$ in the vicinity of a putative spin-density wave quantum critical point at a P-doping, $x=x_c$. We argue that the transition becomes weakly first-order in the vicinity of $x_c$, and disorder induces puddles of superconducting and antiferromagnetic regions at short length-scales; thus the system becomes an electronic micro-emulsion. We propose that frustrated Josephson couplings between the superconducting grains suppress ${\rho }_s$. In addition, the presence of `normal' quasiparticles at the interface of the frustrated Josephson junctions will give rise to a highly non-trivial feature in the low frequency response in a narrow vicinity around $x_c$. We propose a number of experiments to test our theory.

4.5 pages, 4 figures; (v2) made some textual changes for increased clarity. This version also includes a new figure, supplementary material and updated references

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Cited by in corpus (17)

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• Shear sound of two-dimensional Fermi liquids
• Electron Mass Enhancement near a Nematic Quantum Critical Point in NaFe${}_{1-x}$Co${}_x$As
• 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
• Observation of an electronic microemulsion phase emerging from a quantum crystal-to-liquid transition
• Thermodynamic signatures of an antiferromagnetic quantum critical point inside a superconducting dome
• Anomalous thermodynamic properties of quantum critical superconductors
• Diamagnetic Vortex Barrier Stripes in Underdoped $BaF{e}_2(A{s}_{1-x}{P}_x{)}_2$
• 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
• Selective mass enhancement close to the quantum critical point in BaFe${}_2$(As${}_{1-x}$P${}_x$)${}_2$
• Anomalous sharp peak in the London penetration depth induced by the nodeless-to-nodal superconducting transition in BaFe${}_2$(As${}_{1-x}$P${}_x$)${}_2$
• Cluster structure of superconducting phase and the nature of peaks in the doping dependences of the London penetration depth in iron pnictides
• Thermodynamic properties of nodal superconductors close to a magnetic quantum critical point
• Josephsonic diagnostic of competing orders in quantum critical multiband superconductors
• Relationship between critical current and flux-flow resistivity in the mixed state of Ba(Fe${}_{1-x}$Co${}_x$)${}_2$As${}_2$
• Reaching Quantum Critical Point by Adding Non-magnetic Disorder in Single Crystals of Superconductor $({\text{Ca}}_x{\text{Sr}}_{1-x}{)}_3{\text{Rh}}_4{\text{Sn}}_{13}$
• Gaplessness from disorder and quantum geometry in gapped superconductors