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Article Dans Une Revue Physical Review Letters Année : 2020

Haldane Gap of the Three-Box Symmetric SU(3) Chain

Résumé

Motivated by the recent generalization of the Haldane conjecture to SU(3) chains [Lajkó et al., Nucl. Phys. B924, 508 (2017)NUPBBO0550-321310.1016/j.nuclphysb.2017.09.015] according to which a Haldane gap should be present for symmetric representations if the number of boxes in the Young diagram is a multiple of three, we develop a density matrix renormalization group algorithm based on standard Young tableaus to study the model with three boxes directly in the representations of the global SU(3) symmetry. We show that there is a finite gap between the singlet and the symmetric [3  0  0] sector Δ[3  0  0]/J=0.040±0.006 where J is the antiferromagnetic Heisenberg coupling, and we argue on the basis of the structure of the low energy states that this is sufficient to conclude that the spectrum is gapped.

Dates et versions

hal-02542852 , version 1 (14-04-2020)

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Samuel Gozel, Pierre Nataf, Frédéric Mila. Haldane Gap of the Three-Box Symmetric SU(3) Chain. Physical Review Letters, 2020, 125 (5), pp.057202. ⟨10.1103/PhysRevLett.125.057202⟩. ⟨hal-02542852⟩

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