论文标题
边界CFT和张量网络方法，用于表面三角potts模型的表面临界现象
Boundary CFT and tensor network approach to surface critical phenomena of the tricritical 3-state Potts model
论文作者
论文摘要
经典系统二维的一维边缘有时会显示出令人惊讶的丰富相变和关键现象，尤其是当批量处于关键状态时。这样，我们研究了三态稀释potts模型的表面临界行为，该模型的大部分在三个智力点都调节。比以前的工作更精确地调查它[Y. Deng和H. W. J.Blöte，物理。 Rev. E 70，035107（R）（2004）;物理。 Rev. E 71，026109（2005）]，我们从边界综合场理论（BCFT）的角度进行分析。 [R. E. Behrend等，Nucl。物理。 B 579，707（2000）]允许我们收集三智限三态Potts bcft中的十二个边界固定点。使用张量的网络重新归一化方法，我们详细研究了三个智力三态POTTS模型的表面相图，并揭示了十二个边界固定点可以通过控制外部场和边界处的外部场和耦合强度来实现在晶格上的11个边界固定点。最后一个漏斗固定点将来自参数空间中的物理声音区域，类似于3状态POTTS BCFT中的“新”边界条件。
One-dimensional edges of classical systems in two dimension sometimes show surprisingly rich phase transitions and critical phenomena, particularly when the bulk is at criticality. As such a model, we study the surface critical behavior of the 3-state dilute Potts model whose bulk is tuned at the tricritical point. To investigate it more precisely than in the previous works [Y. Deng and H. W. J. Blöte, Phys. Rev. E 70, 035107(R) (2004); Phys. Rev. E 71, 026109 (2005)], we analyze it from the viewpoint of the boundary conformal field theory (BCFT). The complete classification of the conformal boundary conditions for the minimal BCFTs discussed in [R. E. Behrend et al., Nucl. Phys. B 579, 707 (2000)] allows us to collect the twelve boundary fixed points in the tricritical 3-state Potts BCFT. Employing the tensor network renormalization method, we numerically study the surface phase diagram of the tricritical 3-state Potts model in detail, and reveal that the eleven boundary fixed points among the twelve can be realized on the lattice by controlling the external field and coupling strength at the boundary. The last unfound fixed point would be out of the physically sound region in the parameter space, similarly to the `new' boundary condition in the 3-state Potts BCFT.
