The Haldane gap in the SU(3) [3 0 0] Heisenberg chain

Abstract

We calculate the Haldane gap of the $\mathrm{SU}(3)$ spin $[300]$ Heisenberg model using variational uniform fully symmetric $\mathrm{SU}(3)$ matrix product states, and find that the minimal gap $\Delta /J=0.0263$ is obtained in the $[210]$ sector at momentum $2\pi /3$. We also discuss the symmetry protected topological order of the ground state, and determine the full dispersion relation of the elementary excitations and the correlation lengths of the system.

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Cited by in corpus (3)

• Even-odd effects in the $J_1-J_2$ SU($N$) Heisenberg spin chain
• Density Matrix Renormalization Group simulations of the SU(N) Fermi-Hubbard chain implementing the full SU(N) symmetry via Semi-Standard Young Tableaux and Unitary Group Subduction Coefficients
• Bosonic realization of SU(3) chiral Haldane phases