Mott Insulators, No-Double-Occupancy, and Non-Abelian Superconductivity

TL;DR

This paper explores how SU(4) symmetry constrains the electronic states in high-temperature superconductors, suggesting a maximum doping limit and introducing the concept of non-abelian superconductors with potential for new material classes.

Contribution

It demonstrates the implications of SU(4) symmetry for no-double-occupancy constraints and proposes the existence of non-abelian superconductors beyond cuprates.

Findings

SU(4) symmetry implies a maximum doping of 1/4 in cuprates.

Provides a microscopic critique of the projected SO(5) model.

Introduces the concept of non-abelian superconductors with SU(4) symmetry.

Abstract

SU(4) dynamical symmetry is shown to imply a no-double-occupancy constraint on the minimal symmetry description of antiferromagnetism and d-wave superconductivity. This implies a maximum doping fraction of 1/4 for cuprates and provides a microscopic critique of the projected SO(5) model. We propose that SU(4) superconductors are representative of a class of compounds that we term non-abelian superconductors. We further suggest that non-abelian superconductors may exist having SU(4) symmetry and therefore cuprate-like dynamics, but without d-wave hybridization.