论文标题

SU(3)[3 0 0] Heisenberg链中的Haldane间隙

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

论文作者

Devos, Lukas, Vanderstraeten, Laurens, Verstraete, Frank

论文摘要

我们使用差异统一的完全对称$ \ mathrm {su}(3)$ mathrm {su}(3)$ matrix产品状态来计算$ \ mathrm {su}(3)$ spin $ [3〜0〜0〜0] $ HEISENBERG模型的Haldane差距$2π/3 $。我们还讨论了基础状态的对称性保护拓扑顺序,并确定基本激发的全部分散关系和系统的相关长度。

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 $Δ/J = 0.0263 $ is obtained in the $[2~1~0]$ sector at momentum $2π/3$. 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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