The Itinerancy and Interactions of the Linear Strings of Holes in Copper Oxide Superconductors

TL;DR

This paper introduces a new model for the movement and interactions of hole strings in copper oxide superconductors, predicting spectral distributions for their itinerancy, magnetic interactions, and pseudogap parameters, while maintaining key assumptions of previous theories.

Contribution

The model incorporates various hopping scenarios and provides spectral distributions for itinerancy rates, magnetic interactions, and pseudogap parameters, advancing understanding of hole dynamics in cuprates.

Findings

Spectral distribution for itinerancy rates of hole strings

Spectral distribution for magnetic interactions between strings

Predicted spectral distribution for pseudogap parameter

Abstract

Here I present a new model for the itinerancy of the strings of holes in the Cuprates HTSC. The model assumes various scenarios with respect to the order of the holes hopping and evaluates the weighting parameters for the different scenarios. The new model still results in the aggregation of holes into strings, but yields a spectral distribution for the itinerancy rates of the strings. From this distribution I infer a spectral distribution for the magnetic interaction between the strings, which suggests also a spectral distribution for the pseudogap parameter, and some relevant experimental functions. Apart from these distributions, the basic assumptions of former relevant theories remain intact. Such assumptions are the existence of the anti-ferromagnetic phases A and B, the basic structure of the pseudogap ground state, the excitation operators, and the field. The ground state and the field are basically divided into two bands, the gapless low energy band, and the high energy band. Due to the wide distributions, the bands may be partially overlapped.