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

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.

arXiv comment4 pages, 2 figures

References in corpus (6)

• Projected SO(5) Models
• An SU(4) Model of High-Temperature Superconductivity and Antiferromagnetism
• SO(5) as a Critical Dynamical Symmetry in the SU(4) Model of High-Temperature Superconductivity
• Phase diagram and dynamics of the projected SO(5)-symmetric model of high-$T_c$ superconductivity
• Interrelation of Superconducting and Antiferromagnetic Gaps in High-Tc Compounds: a Test Case for the SO(5) Theory
• Critical properties of projected SO(5) models at finite temperatures

Cited by in corpus (4)

• Pairing Gaps, Pseudogaps, and Phase Diagrams for Cuprate Superconductors
• Temperature-dependent gap equations and their solutions in the SU(4) model of high-temperature superconductivity
• A Unified Description of Cuprate and Iron Arsenide Superconductors
• k-dependent SU(4) model of high-temperature superconductivity and its coherent-state solutions