Effect of magnetic criticality and Fermi-surface topology on the magnetic penetration depth

Abstract

We investigate the effect of anti-ferromagnetic (AF) quantum criticality on the magnetic penetration depth $\lambda (T)$ in line-nodal superconductors, including the cuprates, the iron pnictides, and the heavy-fermion superconductors. The critical magnetic fluctuation renormalizes the current vertex and drastically enhances zero-temperature penetration depth $\lambda (0)$, which is more remarkable in the iron-pnictide case due to the Fermi-surface topology. Additional temperature ($T$) dependence of the current renormalization makes the expected $T$-linear behavior at low temperatures approaching to $T^{1.5}$ asymptotically. These anomalous behaviors are well consistent with experimental observations. We stress that $\lambda (T)$ is a good probe to detect the AF quantum critical point in the superconducting state.

5 pages, 4 figures

References in corpus (13)

• Magnetic Penetration Depth in Unconventional Superconductors
• A Sharp Peak of the Zero-Temperature Penetration Depth at Optimal Composition in BaFe2(As1-xPx)2
• Superconductivity up to 30 K in the vicinity of quantum critical point in BaFe${}_2$(As${}_{1-x}$P${}_x$)${}_2$
• Spin fluctuations and superconductivity in a 3D tight-binding model for BaFe2As2
• Anomalous Transport Phenomena in Fermi Liquids with Strong Magnetic Fluctuations
• Superfluid density and penetration depth in Fe-pnictides
• Possible three dimensional nodes in the $s\pm$ superconducting gap of BaFe${}_2$(As${}_{1-x}$P${}_x$)${}_2$
• Pinpointing Gap Minima in Ba(Fe${}_{0.94}$Co${}_{0.06}{)}_2$As${}_2$ \textit{via} Band Structure Calculations and Electronic Raman Scattering
• Normal state spin dynamics in the iron-pnictide superconductors BaFe2(As1-xPx)2 and Ba(Fe1-xCox)2As2 probed with NMR measurements
• Unconventional Hall effect in pnictides from interband interactions
• Anomalous superfluid density in quantum critical superconductors
• Superconducting Fluctuation and Pseudogap in Disordered Short Coherence Length Superconductor
• Strong pressure dependence of the magnetic penetration depth in single crystals of the heavy fermion superconductor CeCoIn5 studied by muon spin rotation

Cited by in corpus (24)

• Quantum critical point lying beneath the superconducting dome in iron-pnictides
• Strongly correlated superconductivity in a copper-based metal-organic framework with a perfect kagome lattice
• Local characterization of superconductivity in BaFe2(As1-xPx)2
• 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
• Anomalous Scaling of the Penetration Depth in Nodal Superconductors
• Phase transition beneath the superconducting dome in BaFe${}_2$(As${}_{1-x}$P${}_x$)${}_2$
• Magnetic penetration depth in disordered iron-based superconductors
• Order parameter fluctuation and ordering competition in $\mathrm{B}{\mathrm{a}}_{1-\mathrm{x}}{\mathrm{K}}_{\mathrm{x}}\mathrm{F}{\mathrm{e}}_2\mathrm{A}{\mathrm{s}}_2$
• London penetration depth measurements using tunnel diode resonators
• 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
• Evolution of quasiparticle excitations with critical mass enhancement in superconducting AFe2As2 (A = K, Rb, and Cs)
• Anomalous thermodynamic properties of quantum critical superconductors
• Diamagnetic Vortex Barrier Stripes in Underdoped $BaF{e}_2(A{s}_{1-x}{P}_x{)}_2$
• Impact of ordering competition on the global phase diagram of iron pnictides
• Observation of the Non-linear Meissner Effect
• 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${}_x$)${}_2$
• Cluster structure of superconducting phase and the nature of peaks in the doping dependences of the London penetration depth in iron pnictides
• Anomalous sharp peak in the London penetration depth induced by the nodeless-to-nodal superconducting transition in BaFe${}_2$(As${}_{1-x}$P${}_x$)${}_2$
• Thermodynamic properties of nodal superconductors close to a magnetic quantum critical point
• Josephsonic diagnostic of competing orders in quantum critical multiband superconductors