DMRG studies of critical SU(N) spin chains

TL;DR

This paper uses DMRG to analyze critical SU(N) spin chains, determining their low-energy properties and identifying corresponding Wess-Zumino-Witten models, thus advancing understanding of their quantum critical behavior.

Contribution

It applies DMRG to integrable SU(N) spin chains and identifies the associated conformal field theories through spectral and entanglement analysis.

Findings

Determined central charges for various SU(N) models

Identified primary field scaling dimensions

Mapped low-energy sectors to specific Wess-Zumino-Witten models

Abstract

The DMRG method is applied to integrable models of antiferromagnetic spin chains for fundamental and higher representations of SU(2), SU(3), and SU(4). From the low energy spectrum and the entanglement entropy, we compute the central charge and the primary field scaling dimensions. These parameters allow us to identify uniquely the Wess-Zumino-Witten models capturing the low energy sectors of the models we consider.