Lifshitz transitions in multi-band Hubbard models for topological superconductivity in complex quantum matter

Abstract

How the macroscopic quantum coherence can resist to the decoherence attacks of high temperature is a major challenge for the science of the 21st century. Superstripes 2017 conference held in Ischia on June 2017 has been focused on the new physics of high $T_c$ superconductors made of complex quantum matter. Today the standard model of high $T_c$ superconductivity which grabs the physics of complex quantum matter is the multi-band Hubbard model where the dome of $T_c$ occurs by driving the chemical potential in the proximity of a topological Lifshitz transition. The multi-gap superconductivity in the $T_c$ dome is driven by exchange interaction between a condensate in the BEC-BCS crossover which coexists with second BCS condensates. The proximity to Lifshitz transitions in correlated electronic systems gives the ubiquitous arrested phase separation observed in all high temperature superconductors. Non Euclidean filamentary hyperbolic geometry is needed for the space description of superstripes textures produced by the coexistence of short range CDW puddles, hole poor SDW puddles and self organized dopants rich puddles. A road map to room temperature superconductors in particular organic compounds made of superlattices of quantum wires driven by Fano resonances with one of the condensates in the BEC-BCS crossover has been proposed.

Journal of Superconductivity and Novel Magnetism (2017), 9 pages, 0 figures

References in corpus (15)

• Resonant and crossover phenomena in a multiband superconductor tuning the chemical potential near a band edge
• A model for the phase separation controlled by doping and the internal chemical pressure in different cuprate superconductors
• Feshbach resonances and mesoscopic phase separation near a quantum critical point in multiband FeAs-based superconductors
• Possible Fano resonance for high Tc multi-gap superconductivity in p-Terphenyl doped by K at the Lifshitz transition
• Intrinsic arrested nanoscale phase separation near a topological Lifshitz transition in strongly correlated two-band metals
• Superstripes and complexity in high-temperature superconductors
• The road map toward room temperature superconductivity: manipulating different pairing channels in systems composed of multiple electronic components
• Anisotropic thermal expansion of p-Terphenyl: a self-assembled supramolecular array of poly-p-phenyl nanoribbons
• Local noncentrosymmetric structure of Bi2Sr2CaCu2O8+y by X-ray magnetic circular dichroism at Cu K-edge XANES
• Evidence for weakly correlated oxygen holes in the highest-T${}_c$ cuprate superconductor HgBa${}_2$Ca${}_2$Cu${}_3$O${}_{8+\delta }$
• Topological Phases emerging from Spin-Orbital Physics
• Phase transitions in quasi-one dimensional system with unconventional superconductivity
• Electronic structure of HgBa${}_2$CuO${}_{4+\delta }$ with self-organized interstitial oxygen wires in the Hg spacer planes
• Correlation between charge order and second-neighbor hopping in cuprate superconductors
• Superstripes in the Low Energy Physics of Complex Quantum Matter at the Mesoscale

Cited by in corpus (4)

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• Evolution of Spin-Orbital Entanglement with Increasing Ising Spin-Orbit Coupling
• Quantum Critical Diffusion and Thermodynamics in Lifshitz Holography
• VUV Pump and probe of phase separation and oxygen interstitials in La2NiO4+y using spectromicroscopy