论文标题
拓扑量子相变的边界关键性$ 2D $系统
Boundary Criticality of Topological Quantum Phase Transitions in $2d$ systems
论文作者
论文摘要
我们讨论了两大量子相变的边界临界行为，其散装的分数自由度是由散装中的分数化度进行的，这是因为通常是$ 1D $边界暴露的$ 1D $边界，并且可以在许多实验平台中方便地探索。特别是，我们主要讨论两个示例的边界关键性：i。 $ 2D $ $ z_2 $拓扑订单与自发对称性破坏的订购阶段之间的量子相变； ii。金属与特定类型的Mott绝缘子（U（1）旋转液体）之间的连续量子相变。这项理论研究可能与许多纯粹$ 2D $系统有关，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.
