论文标题
三盒对称$ \ mathrm {su}（3）$链的haldane间隙
Haldane Gap of the Three-Box Symmetric $\mathrm{SU}(3)$ Chain
论文作者
论文摘要
由于最近将Haldane猜想概括为$ \ Mathrm {su}（3）$链的动机[M. Lajkó等，Nucl。物理。 b924，508（2017）]根据该法，应出现haldane间隙以进行对称表示，如果年轻图中的盒子数量是三个倍数，我们将基于标准的年轻tableaus开发一个密度矩阵恢复量化算法，以将模型直接研究为全球$ \ mathrm \ althrm contrm cyssections of标准的年轻tableaus，以研究该模型。我们表明，单点与对称$ [3 \，0 \，0] $ sector $δ_ {[[3 \，0 \，0]}/j = 0.040 \ pm0.006 $ $ j $是抗fiferromagnetic heisenbergnetic heisenberg coupling and Is and and Is and Ons of n an COMENS，该结构是，该结构是抗fiferromagagnetic的能力。频谱被盖住了。
Motivated by the recent generalization of the Haldane conjecture to $\mathrm{SU}(3)$ chains [M. Lajkó et al., Nucl. Phys. B924, 508 (2017)] 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 $\mathrm{SU}(3)$ symmetry. We show that there is a finite gap between the singlet and the symmetric $[3\,0\,0]$ sector $Δ_{[3\,0\,0]}/J = 0.040\pm0.006$ 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.
