Superconductivity in cuprates governed by topological constraints

TL;DR

This paper proposes a topological constraint-based model for cuprate superconductivity, explaining the universal $T_c$ dome and pseudogap phase through localized pairons on an antiferromagnetic lattice, aligning well with experimental data.

Contribution

It introduces a novel topological framework involving pairons to unify the understanding of the cuprate phase diagram and superconducting properties.

Findings

Model accurately reproduces $T_c$ and $T^*$ phase lines

Explains the origin of the $T_c$ dome and pseudogap

Provides insight into critical doping points

Abstract

The remarkable universality of the cuprate $T_c$ dome suggests a very fundamental unifying principle. Moreover, the superconducting gap is known to persist above $T_c$ in the pseudogap phase of all cuprates. So, contrary to BCS, the gap cannot be the order parameter of the transition. In this work, we show that both the $T_c$-dome and the pseudogap line $T^*(p)$ arise from a unique and identifiable principle: the interaction of localized `pairons' on an antiferromagnetic square lattice. The topological constraints on such preformed pairons give rise to both the $T_c$ dome and the pairing energy {\it simultaneously}. It also provides a natural explanation for the critical doping points of the phase diagram. The model matches perfectly both the $T^*$ and $T_c$ experimental lines, with only one adjustable parameter.