Boundary criticality of topological quantum phase transitions in two-dimensional systems
Boundary criticality of topological quantum phase transitions in two-dimensional systems
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DOI：
10.1103/physrevb.101.174406
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发表时间：
2020-01
影响因子：
3.7
通讯作者：
Xiao-Chuan Wu;Yichen Xu;H. Geng;Chao-Ming Jian;Cenke Xu
中科院分区：
文献类型：
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作者：
Xiao-Chuan Wu;Yichen Xu;H. Geng;Chao-Ming Jian;Cenke Xu
我们讨论了具有离散自由度的二维量子相变的边界临界行为，其动机是通常是暴露的 $1d$ 边界，并且可以在许多实验平台中方便地探测。特别是，我们主要讨论两个例子的边界临界性： $2d$ $Z_2$ 拓扑序和具有自发对称破缺的有序相之间的量子相变；二.金属和特定类型莫特绝缘体（U(1) 自旋液体）之间的连续量子相变。这项理论研究可能与许多纯粹的 2d$ 系统相关，最近的实验在同一相图中发现了相关的绝缘体、超导体和金属。
We discuss the boundary critical behaviors of two dimensional quantum phase transitions with fractionalized degrees of freedom in the bulk, motivated by the fact that usually it is the $1d$ boundary that is exposed and can be conveniently probed in many experimental platforms. In particular, we mainly discuss boundary criticality of two examples: i. the quantum phase transition between a $2d$ $Z_2$ topological order and an ordered phase with spontaneous symmetry breaking; ii. the continuous quantum phase transition between metal and a particular type of Mott insulator (U(1) spin liquid). This theoretical study could be relevant to many purely $2d$ systems, where recent experiments have found correlated insulator, superconductor, and metal in the same phase diagram.