Fano Resonances near Lifshitz transitions at BCS-BEC crossover in complex quantum matter

Universal nanoscale phase separation with frustrated CDW order [1-5] has been confirmed in all high temperature superconductors where the high Tc dome is driven by Fano resonances involving a condensate in the BCS.BEC crossover near Lifshitz transitions [3-7] in superlattices of quantum wells and quantum wires. This particular quantum complex matter shows large zero point motion amplitude, local lattice fluctuations in a double wells potential and local noncentrosymmetric structure as recently onserved of Bi2212 [8].
We discuss here the particular cases of Lifshitz transitions in superlattices of quantum wires realized in a novel organic superconductor alkali-doped p-terphenyl [6,7] and in the case of local noncentrosymmetric Bi2212 [8].
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