论文标题
拓扑边缘和界面状态处于批量级量子临界点处
Topological Edge and Interface states at Bulk disorder-to-order Quantum Critical Points
论文作者
论文摘要
我们研究了两个非平凡边界效应之间的相互作用：（1）三维（$ 2D $）的三维（$ 3D $）的边缘状态强烈相互作用的玻色子对称性受保护的拓扑状态，以及（2）$ 3D $ bultk bultk bultk a bultk rable diber to-Bullk to-Bullk dise-bultk to-bultist to-Bullk dise-Order dorder corm-bultist to-Bullk to-Order dorder corm dorder of阶。然后，我们将研究概括为$ 2D $无间隙的国家，当时散装经历量子相过渡时，将其本地化为嵌入$ 3D $散装的接口。我们的研究基于这些系统的通用长波长描述和受控的分析计算。我们的结果总结如下：（$ i。$）原型骨对称性态的边缘状态可以通过耦合到块状量子相变的边界波动来驱动到新的固定点； （$ ii。$）以$ 3D $ su（n）量子抗FiferRomagnet的$ 2D $接口本地定位的州可以通过耦合到批量量子关键模式来驱动到新的固定点。还研究了确定的新固定点的属性。
We study the interplay between two nontrivial boundary effects: (1) the two dimensional ($2d$) edge states of three dimensional ($3d$) strongly interacting bosonic symmetry protected topological states, and (2) the boundary fluctuations of $3d$ bulk disorder-to-order phase transitions. We then generalize our study to $2d$ gapless states localized at an interface embedded in a $3d$ bulk, when the bulk undergoes a quantum phase transition. Our study is based on generic long wavelength descriptions of these systems and controlled analytic calculations. Our results are summarized as follows: ($i.$) The edge state of a prototype bosonic symmetry protected states can be driven to a new fixed point by coupling to the boundary fluctuations of a bulk quantum phase transition; ($ii.$) the states localized at a $2d$ interface of a $3d$ SU(N) quantum antiferromagnet may be driven to a new fixed point by coupling to the bulk quantum critical modes. Properties of the new fixed points identified are also studied.
