SU(4) Theory for Spin Systems with Orbital Degeneracy
Y. Q. Li, Michael Ma, D. N. Shi, and F. C. Zhang

TL;DR
This paper explores an SU(4) symmetric model for spin systems with orbital degeneracy, explaining the absence of long-range order in 2D lattices and its relation to spin liquid behavior in certain materials.
Contribution
It introduces an SU(4) symmetric framework for understanding spin systems with orbital degeneracy and analyzes their ground states and correlations.
Findings
Many 2D lattices lack long-range order in the SU(4) limit.
SU(4) Neel order can exhibit antiferromagnetic correlations between neighboring sites.
The model provides insights into the spin liquid properties of LiNiO2.
Abstract
The isotropic limit of spin systems with orbital degeneracy is shown to have global SU(4) symmetry. On many 2D lattices, the ground state does not posses long range order, which may explain the observed spin liquid properties of . In the SU(4) Neel ordered state, spin-spin correlations can be antiferromagneitc between two neighboring sites with parallel magnetic moments.
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