Shape resonances in multi-condensate granular superconductors formed by networks of nanoscale-striped puddles

Abstract

A characteristic feature of a superconductor made of multiple condensates is the possibility of the shape resonances in superconducting gaps. Shape resonances belong to class of Fano resonances in configuration interaction between open and closed scattering channels. The Shape resonances arise because of the exchange interaction, a Josephson-like term, for transfer of pairs between different condensates in different Fermi surface spots in the special cases where at least one Fermi surface is near a 2.5 Lifshitz topological transition. We show that tuning the shape resonances show first, the gap suppression (like a Fano anti-resonance) driven by configuration interaction between a BCS condensate and a BEC-like condensate, and second, the gap amplification (like a Fano resonance) driven by configuration interaction between BCS condensates in large and small Fermi surfaces. Shape resonances usually occur in granular nanoscale complex matter (called superstripes) because of the lattice instability near a 2.5 Lifshitz transition in presence of interactions. Using a new imaging method, scanning nano-X-ray diffraction, we have shown the generic formation in high temperature superconductors of a granular superconducting networks made of striped puddles formed by ordered oxygen interstitials or ordered local lattice distortions (like static short range charge density waves). In the superconducting puddles the chemical potential is tuned to a shape resonance in superconducting gaps and the maximum Tc occurs where the puddles form scale free superconducting networks.

13 pages, 6 figures

References in corpus (15)

• Scale-free structural organization of oxygen interstitials in La2CuO4+y
• Resonant and crossover phenomena in a multiband superconductor tuning the chemical potential near a band edge
• Importance of Fermi surface topology for high temperature superconductivity in electron-doped iron arsenic superconductors
• The gap amplification at a "shape resonance" in a superlattice of quantum stripes: a mechanism for high Tc
• Intrinsic phase separation in superconducting K0.8Fe1.6Se2 (Tc= 31.8 K) single crystals
• Optimum inhomogeneity of local lattice distortions in La2CuO4+y
• On the Possibility of New High Tc Superconductors by Producing metal Heterostructures as in the Cuprate Perovskites
• A model for the phase separation controlled by doping and the internal chemical pressure in different cuprate superconductors
• Quantum Phase Transition in the Normal State of High-Tc Cuprates at Optimum Doping
• Quantum and Topological Criticalities of Lifshitz Transition in Two-Dimensional Correlated Electron Systems
• Anomalous isotope effect near a 2.5 Lifshitz transition in a multi-band multi-condensate superconductor made of a superlattice of stripes
• From Majorana theory of atomic autoionization to Feshbach resonances in high temperature superconductors
• Enhancement of Tc in the Superconductor-Insulator Phase Transition on Scale-Free Networks
• Superstripes and complexity in high-temperature superconductors
• SUPERSTRIPES Self organization of quantum wires in high Tc superconductors

Cited by in corpus (13)

• Superconductivity above the lowest Earth temperature in pressurized sulfur hydride
• Stripe-like nanoscale structural phase separation and optimal inhomogeneity in superconducting BaPb${}_{1-x}$Bi${}_x$O${}_3$
• Possible Fano resonance for high Tc multi-gap superconductivity in p-Terphenyl doped by K at the Lifshitz transition
• Fermi-Bose mixtures and BCS-BEC crossover in high-Tc superconductors
• Lifshitz transitions and zero point lattice fluctuations in sulfur hydride showing near room temperature superconductivity
• Spin-orbit coupling controlling the superconducting dome of artificial superlattices of quantum wells
• Resonant multigap superconductivity at room temperature near a Lifshitz topological transition in sulfur hydrides
• High-Tc superconducting dome in artificial heterostructures made of nanoscale quantum building blocks
• Functional Nanoscale Phase Separation and Intertwined Order in Quantum Complex Materials
• Lifshitz transitions in multi-band Hubbard models for topological superconductivity in complex quantum matter
• Lattice Quantum Geometry Controlling 118 K Multigap Superconductivity in Heavily Overdoped CuBa2Ca3Cu4O10+d
• From the pion cloud of Tomonaga to the electron pairs of Schrieffer: many body wave functions from nuclear physics to condensed matter physics
• Q Dependence of Magnetic Resonance Mode on FeTe${}_{0.5}$Se${}_{0.5}$ Studied by Inelastic Neutron Scattering