Energy-scale phenomenology and pairing via resonant spin-charge motion in FeAs, CuO, heavy-fermion and other exotic superconductors

Abstract

Muon spin relaxation ($\mu$SR) studies of the "1111" and "122" FeAs systems have detected static magnetism with variably sized ordered moments in their parent compounds. The phase diagrams of FeAs, CuO, organic BEDT, A${}_3$C${}_{60}$ and heavy-fermion systems indicate competition between static magnetism and superconductivity, associated with first-order phase transitions at quantum phase boundaries. In both FeAs and CuO systems, the superfluid density $n_s/m^{\ast }$ at $T\to 0$ exhibits a nearly linear scaling with $T_c$. Analogous to the roton-minimum energy scaling with the lambda transition temperature in superfluid ${}^4$He, clear scaling with $T_c$ was also found for the energy of the magnetic resonance mode in cuprates, (Ba,K)Fe${}_2$As${}_2$, CeCoIn${}_5$ and CeCu${}_2$Si${}_2$, as well as the energy of the superconducting coherence peak observed by angle resolved photo emission (ARPES) in the cuprates near ($\pi$,0). Both the superfluid density and the energy of these pair-non-breaking soft-mode excitations determine the superconducting $T_c$ via phase fluctuations of condensed bosons. Combining these observations and common dispersion relations of spin and charge collective excitations in the cuprates, we propose a resonant spin charge motion/coupling, "traffic-light resonance," expected when the charge energy scale ${\epsilon }_F$ becomes comparable to the spin fluctuation energy scale $\hslash {\omega }_{SF}\sim J$, as the process which leads to pair formation in these correlated electron superconductors.

arXiv commentplenary talk presented at SCES2008 Conference, Buzios, Brazil, August 2008; to be published in the proceedings, Physica B, in press

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• A Common Thread: the pairing interaction for the unconventional superconductors
• A Sharp Peak of the Zero-Temperature Penetration Depth at Optimal Composition in BaFe2(As1-xPx)2
• Possible topologically non-trivial superconducting order parameter in type-II Weyl semimetal T_d-MoTe_2
• Incommensurate spin resonance in URu2Si2
• $\mu$SR studies of the frustrated quasi-2d square-lattice spin system Cu(Cl,Br)La(Nb,Ta)${}_2$O${}_7$: evolution from spin-gap to antiferromagnetic state
• Dynamic Superconductivity Responses in Photo-excited Optical Conductivity and Nernst Effect
• Static magnetic order of Sr${}_4$A${}_2$O${}_6$Fe${}_2$As${}_2$ (A = Sc and V) revealed by local probes
• Probing the Ground State Properties of Iron-based Superconducting Pnictides and Related Systems by Muon-Spin Spectroscopy
• Extended Magnetic Dome Induced by Low Pressures in Superconducting FeSe${}_{1\text{-}\mathrm{x}}$S${}_{\mathrm{x}}$
• Superconducting phase diagrams of cuprates and pnictides as a key to the HTSC mechanism
• Quantum Criticality and Novel Phases: A panel discussion
• Disentangling superconducting and magnetic orders in NaFe_1-xNi_xAs using muon spin rotation
• The double life of electrons in magnetic iron pnictides, as revealed by NMR
• New insight into the physics of iron pnictides from optical and penetration depth data
• Observation of the Non-linear Meissner Effect
• Charge compensation and optimal stoichiometry in superconducting (Ca${}_x$La${}_{1-x}$)(Ba${}_{1.75-x}$La${}_{0.25+x}$)Cu${}_3$O${}_y$
• Unconventional pressure dependence of the superfluid density in the nodeless topological superconductor $\alpha$-PdBi${}_2$
• Linear Scaling of the Superfluid Density with the Critical Temperature in the Layered Superconductor 2H-NbSe_2
• SCES '08 - concluding remarks