Topological Aspects of High Temperature Superconductivity and Berry Phase

TL;DR

This paper presents a topological framework for high temperature superconductivity, emphasizing the roles of Berry phase, magnetic flux quanta, and skyrmions in pairing mechanisms and phase crossovers.

Contribution

It introduces a novel topological approach linking Berry phase and skyrmions to superconductivity, providing insights into pairing and phase transitions.

Findings

Identification of two crossover phases above Tc: glass and spin gap phases.

Charge carriers dressed with magnetic flux quanta form skyrmions leading to d-wave pairing.

Discussion of the Magnus force on vortices within this topological context.

Abstract

We propose a mechanism of high temperature superconductivity from the viewpoint of chirality and Berry phase. It is observed that spin pairing and charge pairing is caused by a gauge force generated by magnetic flux quanta attached to them. From the renormalization group equation involving the Berry phase factor $\mu$ it is found that there are two crossovers above the superconducting temperature $T_c$, one corresponds to the glass phase and the other represents the spin gap phase. Actually, in this topological framework each charge carrier is dressed with a magnetic flux quantum and represents a skyrmion. The skyrmion-skyrmion bound state leads to the d-wave Cooper pair formation. We have also discussed the Magnus force acting on the vortices of this system.