Coupled wire construction of a topological phase with chiral tricritical Ising edge modes
Coupled wire construction of a topological phase with chiral tricritical Ising edge modes
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具有手性三临界伊辛边模式的拓扑相的耦合线构造
DOI：
10.1103/physrevb.102.165123
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发表时间：
2020
影响因子：
3.7
通讯作者：
M. Franz
中科院分区：
文献类型：
--
作者：
Chengshu Li;Hiromi Ebisu;S. Sahoo;Y. Oreg;M. Franz
三临界伊辛（TCI）相变发生在几种相互作用的自旋和马约拉纳费米子模型中，并用中心电荷c=7/10的超对称共形场论（CFT）描述。这个CFT的字段内容是非常不平凡的，包括其主要领域的斐波那契任意子，使其潜在的利益，寻求实现容错拓扑量子计算与非阿贝尔相位的问题的战略。在本文中，我们探讨的可能性，TCI CFT可以发生在边缘的间隙二维拓扑状态作为一个稳定的阶段。我们讨论了基于耦合线结构的这种2D相位的可能实现，该耦合线结构使用与伊辛自旋耦合的马约拉纳零模的Grover-Sheng-Vishwanath链模型[Science 344，280（2014）]，已知伊辛自旋会经历TCI相变。从使用平均场理论，共形场理论和密度矩阵重整化群（DMRG）的2-和4-腿梯子的组合分析，我们发现，左，右移动的无隙TCI模式成为空间分离，并驻留在系统的两个相对的边缘，形成所需的二维拓扑相位的前兆。
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 [Science 344, 280 (2014)] 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.
影响因子：
3.3
作者：
Hassler, Fabian;Schuricht, Dirk
通讯作者：
Schuricht, Dirk
影响因子：
8.6
作者：
E. O'brien;P. Fendley
通讯作者：
E. O'brien;P. Fendley