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Lifshitz Transitions In Multi-band Hubbard Models for Topological Superconductivity in Complex Quantum Matter

2017/12/31 by Antonio Bianconi · 1 citation
Materials Science · Physics and Astronomy · #Coherence (philosophical gambling strategy) #Crossover #Hubbard model #Organic and Molecular Conductors Research #Physics of Superconductivity and Magnetism #Quantum #Quantum decoherence #Quantum phases #Superconductivity #Superlattice #Topological Materials and Phenomena #Topology (electrical circuits) #cond-mat.supr-con

paper · pdf · doi:10.1007/s10948-017-4535-1

published as Journal of Superconductivity and Novel Magnetism 31(3), 603-610 (2018) · Journal of Superconductivity and Novel Magnetism (2017), 9 pages, 0 figures

arxiv created 2018/01/03 · openalex created_date 2018/01/05 · openalex publication_date 2018/01/09 · arxiv updated 2018/02/15 · openalex updated_date 2026/08/05

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 Tc superconductors made of complex quantum matter. Today the standard model of high Tc superconductivity which grabs the physics of complex quantum matter is the multi-band Hubbard model where the dome of Tc occurs by driving the chemical potential in the proximity of a topological Lifshitz transition. The multi-gap superconductivity in the Tc 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.

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