Principles of the Field Theory of High Temperature Superconductivity in Underdoped Copper-Oxides

TL;DR

This paper extends a field theory approach to high-temperature superconductivity in underdoped cuprates, emphasizing the role of magnetic interactions and string-like hole correlations in pseudogap formation and superconductivity.

Contribution

It introduces a formalism based on double correlations and string of holes to explain the mechanism of pseudogap and high-temperature superconductivity in cuprates.

Findings

Magnetic interactions are crucial for pseudogap and superconductivity.

Superconductivity disturbs hole string correlations, affecting magnetic interactions.

Fluctuations in hole string shapes are linked to the suppression of pseudogap order.

Abstract

Here I extend my last work about the origin of the pseudo-gaps in underdoped cuprates (arXiv: cond-mat. 1011.3206), to include the mechanism of superconductivity. This is done by adapting the formalism of the double correlations in systems with nested Fermi surfaces to the semi one dimensional system of strings of holes. It is proposed that magnetic interaction is crucial for the establishment of the pseudogap and the high temperature superconductivity. It is shown that superconductivity disturbs the completeness of the strings of holes, and creates fluctuations in their shapes. This, in turn, reduces the magnetic interaction and the pseudogap order.