The Feshbach resonance and nanoscale phase separation in a polaron liquid near the quantum critical point for a polaron Wigner crystal

Abstract

The additional long range order parameter that competes with the high Tc superconductivity long range order is identified as an electronic crystal of pseudo Jahn-Teller polarons beyond the critical value of the electron lattice interaction. We show that the region of quantum critical fluctuations in the two variables phase diagram of cuprates: the doping (delta) and the chemical pressure (i.e., the tolerance factor, or the average ionic radius of A-site cations) can be measured via the microstrain (eta) of the Cu-O length in the CuO2 lattice. The fluctuating order in the proximity of the microstrain quantum critical point that competes with the superconducting long range order is the polaron electronic crystalline phase called a Wigner polaron crystal and the variation of the spin gap energy as a function of microstrain provides a strong experimental support for this proposal.

13 pages, 3 figures

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• Intrinsic arrested nanoscale phase separation near a topological Lifshitz transition in strongly correlated two-band metals
• Fermi-Bose mixtures and BCS-BEC crossover in high-Tc superconductors
• Superstripes and complexity in high-temperature superconductors
• Multiple electronic components and Lifshitz transitions by oxygen wires formation in layered cuprates and nickelates
• Experimental evidence of chemical-pressure-controlled superconductivity in cuprates