An SU(4) Approach of High-Temperature Superconductivity and Antiferromagnetism

TL;DR

This paper introduces an SU(4) model for high-temperature superconductivity that unifies antiferromagnetism and superconductivity, expanding on previous SO(5) models with additional symmetries for a comprehensive microscopic understanding.

Contribution

The paper develops a novel SU(4) symmetry-based model that incorporates multiple dynamical symmetries, providing a more complete microscopic framework for high-$T_c$ superconductivity.

Findings

Identifies three dynamical symmetries: SO(5), SO(4), and SU(2).

Clarifies the role of SO(5) symmetry in high-$T_c$ phenomena.

Provides a unified microscopic model for superconductivity and antiferromagnetism.

Abstract

We present an SU(4) model of high-$T_c$ superconductivity. One dynamical symmetry of this model corresponds to the previously proposed SO(5) model for unification of superconductivity and antiferromagnetism, but there are two additional dynamical symmetries: SO(4), associated with antiferromagnetic order and SU(2), associated with a D-wave pairing condensate. These provide a 3-phase microscopic model of high-$T_c$ superconductivity and permit a clear understanding of the role played by the SO(5) symmetry.