DMRG Simulation of the SU(3) AFM Heisenberg Model

TL;DR

This paper uses DMRG to analyze the critical behavior of the antiferromagnetic SU(3) Heisenberg chain, confirming its conformal field theory description and calculating key parameters.

Contribution

It provides the first detailed DMRG study of the SU(3) Heisenberg model, identifying its critical nature and conformal field theory correspondence.

Findings

Model is critical with central charge consistent with SU(3)_1 WZNW theory.

Scaling dimensions of excited states match conformal field theory predictions.

Results support the conformal invariance of the SU(3) Heisenberg chain.

Abstract

We analyze the antiferromagnetic $\text{SU}(3)$ Heisenberg chain by means of the Density Matrix Renormalization Group (DMRG). The results confirm that the model is critical and the computation of its central charge and the scaling dimensions of the first excited states show that the underlying low energy conformal field theory is the $\text{SU}(3)_1$ Wess-Zumino-Novikov-Witten model.