Haldane gap in the SU(3) [300] Heisenberg chain

We calculate the Haldane gap of the SU(3) spin [3 0 0] Heisenberg model using variational uniform fully symmetric SU(3) matrix product states, and find that the minimal gap A/J = 0.0263 is obtained in the [2 1 0] sector at momentum 2z/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.

Automated summary

In this study, the Haldane gap of the SU(3) spin [3 0 0] Heisenberg model was calculated using variational uniform fully symmetric SU(3) matrix product states. The minimal gap was found in the [2 1 0] sector at momentum 2z/3. The symmetry protected topological order of the ground state was discussed, and the full dispersion relation of the elementary excitations and the correlation lengths of the system were determined.