论文标题
与手性三智度边缘模式的拓扑阶段的耦合线结构
Coupled wire construction of a topological phase with chiral tricritical Ising edge modes
论文作者
论文摘要
已知三个临界ISING（TCI）相变发生在几种相互作用的自旋和Majorana fermion模型中，并用中央电荷$ C = 7/10 $的超对称共形场理论（CFT）来描述。该CFT的现场内容高度不平淡，包括其主要领域的斐波那契，使其具有潜在的利益，以寻求通过物质的非亚洲阶段实施耐心的拓扑量子量子计算。在本文中，我们探讨了TCI CFT可以在张开的二维拓扑状态作为稳定阶段发生的可能性。我们讨论了使用Majorana零模式的Grover-Sheng-Vishwanath链模型与Ising Spins结合的Grover-Sheng-Vishwanath链模型，讨论了这2D阶段的可能实现，该模型已知可以进行TCI相变。通过使用平均场理论的组合分析，共形场理论和密度矩阵重新归一化组（DMRG）在2和4腿梯子上，我们发现左和右侧的无间隙TCI模式在空间分离并驻留在系统的两个边缘上，形成了所需的2D拓扑相位。
Tricritical Ising (TCI) phase transition is known to occur in several interacting spin and Majorana fermion models and is described in terms of a supersymmetric conformal field theory (CFT) with central charge $c=7/10$. The field content of this CFT is highly nontrivial and includes among its primary fields the Fibonacci anyon, making it of potential interest to strategies seeking to implement fault-tolerant topological quantum computation with non-Abelian phases of matter. In this paper we explore the possibility that a TCI CFT can occur at the edge of a gapped two-dimensional topological state as a stable phase. We discuss a possible realization of this 2D phase based on a coupled-wire construction using the Grover-Sheng-Vishwanath chain model of Majorana zero modes coupled to Ising spins which is known to undergo the TCI phase transition. From the combined analysis using mean-field theory, conformal field theory and density matrix renormalization group (DMRG) on 2- and 4-leg ladders, we find that the left- and right-moving gapless TCI modes become spatially separated and reside on two opposite edges of the system, forming a precursor of the required 2D topological phase.
