Generalized Schwinger boson mean field theory for two-dimensional SU(4) symmetric spin-orbital antiferromagnet

TL;DR

This paper introduces a generalized Schwinger boson approach to model the 2D SU(4) symmetric spin-orbital antiferromagnet, revealing an antiferromagnetic order consistent with quantum Monte Carlo results.

Contribution

It develops a new generalized Schwinger boson framework for 2D SU(4) spin-orbital systems and demonstrates its effectiveness through mean field analysis and comparison with simulations.

Findings

Identifies antiferromagnetic long-range order with small staggered magnetization

Mean field results align with quantum Monte Carlo simulations

Provides a new theoretical tool for SU(4) spin-orbital systems

Abstract

A generalized Schwinger boson representation is proposed to describe the two-dimensional SU(4) symmetric spin-orbital quantum antiferromagnet. A uniform mean field solution gives rise to an antiferromagnetic long range ordered state with a small staggered magnetization $m_{s}=0.07566$, and the recent quantum Monte Carlo simulations on rather large lattice sizes have provided strong evidence to support these mean field results.