Microscopic Model of Cuprate Superconductivity

TL;DR

This paper proposes a microscopic model for cuprate superconductivity involving charge 2 fermion pairs forming local bosons within a density wave, and explains the superconducting dome and transition temperatures through a Feshbach resonance and spin-charge interactions.

Contribution

It introduces a novel microscopic model based on local fermion pairs and a Feshbach resonance, providing a detailed explanation for the cuprate superconducting dome and transition temperatures.

Findings

Correlation of Tc with inelastic neutron scattering energy

Proposed local fermion pair formation within density waves

Microscopic basis for the superconducting dome shape

Abstract

We present a model for cuprate superconductivity based on the identification of an experimentally detected "local superconductor" as a charge 2 fermion pairing in a circular, stationary density wave. This wave acts like a highly correlated local "boson" satisfying a modified Cooper problem with additional correlation stabilization relative to the separate right- and left-handed density waves composing it. This local "boson" could be formed in a two-bound roton-like manner; it has Fermion statistics. Delocalized superconductive pairing (superconductivity) is achieved by a Feshbach resonance of two unpaired holes (electrons) resonating with a virtual energy level of the bound pair state of the local "boson" as described by the Boson-Fermion-Gossamer (BFG) model. The spin-charge order interaction offers an explanation for the overall shape of the superconducting dome as well a microscopic basis for the cuprate superconducting transition temperatures. An explanation of the correlation of superconducting transition temperature with experimental inelastic neutron and electron Raman scattering is proposed, based on the energy of the virtual bound pair. These and other modifications discussed suggest a microscopic explanation for the entire cuprate superconductivity dome shape.