Generalization of the Haldane conjecture to SU(3) chains

We apply field theory methods to SU(3) chains in the symmetric representation, with p boxes in the Young tableau, mapping them into a flag manifold nonlinear σ-model with a topological angle θ=2πp/3. Generalizing the Haldane conjecture, we argue that the models are gapped for p=3m but gapless for p=...

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Bibliographic Details
Published in:Nuclear physics. B 2017-11, Vol.924 (C), p.508-577
Main Authors: Lajkó, Miklós, Wamer, Kyle, Mila, Frédéric, Affleck, Ian
Format: Article
Language:English
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Summary:We apply field theory methods to SU(3) chains in the symmetric representation, with p boxes in the Young tableau, mapping them into a flag manifold nonlinear σ-model with a topological angle θ=2πp/3. Generalizing the Haldane conjecture, we argue that the models are gapped for p=3m but gapless for p=3m±1 (for integer m), corresponding to a massless phase of the σ-model at θ=±2π/3. We confirm this with Monte Carlo calculations on the σ-model.
ISSN:0550-3213
1873-1562
DOI:10.1016/j.nuclphysb.2017.09.015