Non-Abelian topological spin liquids from arrays of quantum wires or spin chains
Non-Abelian topological spin liquids from arrays of quantum wires or spin chains
复制标题
来自量子线或自旋链阵列的非阿贝尔拓扑自旋液体
DOI：
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
C. Mudry
中科院分区：
文献类型：
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作者：
Po;Jyong;P. Gomes;T. Neupert;C. Chamon;C. Mudry
本文从具有微调电子-电子相互作用的量子线阵列中构建了一类非阿贝尔拓扑有序态。借助非阿贝尔玻色子化，用共形场论描述了解耦导线。电子-电子相互作用的选择，以间隙所有的共形场理论，除了一个描述边缘状态。因此，这种构造使得设计不同的拓扑有序状态变得容易。作者特别规定了如何仅使用量子线的自旋自由度来获得统一共形场论最小模型所描述的所有边缘状态。该结构在拓扑有序态的场论描述和微观模型之间架起了一座桥梁。
In this paper, a family of non-Abelian topologically ordered states are built from arrays of quantum wires with fine-tuned electron-electron interactions. With the help of non-Abelian bosonization, the decoupled wires are described by conformal field theories. Electron-electron interactions are chosen to gap all conformal field theories except the one that describes the edge state. Hence, the construction makes it easy to engineer different topological ordered states. The authors prescribe, in particular, how to arrive at all the edge states described by the unitary conformal field theory minimal models using the spin degrees of freedom of the quantum wires alone. The construction provides a bridge between the field theory descriptions and the microscopic models of topological ordered states.