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

• URL: http://arxiv.org/abs/2202.09279v2
• Date: Thu, 21 Apr 2022 11:24:59 GMT
• Title: The Haldane gap in the SU(3) [3 0 0] Heisenberg chain
• Authors: Lukas Devos, Laurens Vanderstraeten, Frank Verstraete
• Abstract summary: We calculate the Haldane gap of the $mathrmSU(3)$ spin $[300]$ Heisenberg model using variational uniform fully symmetric $mathrmSU(3)$ matrix product states. 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We calculate the Haldane gap of the $\mathrm{SU}(3)$ spin $[3~0~0]$ 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 $[2~1~0]$ 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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