论文标题
Su（3）对称三calligantial临界点周围的临界现象
Critical phenomena around the SU(3) symmetric tri-critical point of a spin-1 chain
论文作者
论文摘要
我们研究了SU（3）对称临界点附近的Spin-1链的临界现象，我们已经在先前的研究中指定了这一点。我们在数字上将汉密尔顿的对角度化，将双线性 - 冰淇淋（Blbq）汉密尔顿人与三聚汉密尔顿人相结合。然后，我们根据保形场理论（CFT）和重新归一化组讨论数值结果。结果，我们首先验证了我们先前研究中发现的临界点是Haldane相，三聚体相和三聚体液体（TL）相之间的三临界点。其次，关于TL-TL-TRIMER转变和TL-甲烷的过渡，我们发现该三个临界点周围的批判现象属于Berezinskii-Kosterlitz--kosterlitz--theless-theless-the-Bkt（BKT） - 类似的普遍性类别。第三，我们发现了haldane相和三聚体相之间的边界，这是由庞大的自我偶发正弦 - 戈登（SDSG）模型所说明的。
We investigate critical phenomena of a spin-1 chain in the vicinity of the SU(3) symmetric critical point, which we already specified in the previous study. We numerically diagonalize a Hamiltonian combining the bilinear-biquadratic (BLBQ) Hamiltonian with the trimer Hamiltonian. We then discuss the numerical results based on the conformal field theory (CFT) and the renormalization group. As a result, we firstly verify that the critical point found in our previous study is the tri-critical point among the Haldane phase, trimer phase, and the trimer liquid (TL) phase. Secondly, with regard to the TL--trimer transition and TL--Haldane transition, we find that the critical phenomena around this tri-critical point belong to the Berezinskii--Kosterlitz--Thouless (BKT)-like universality class. We thirdly find the boundary between the Haldane phase and the trimer phase, which is illustrated by the massive self-dual sine-Gordon (SDSG) model.
