体无序到有序量子临界点的拓扑边缘态和界面态
Topological Edge and Interface states at Bulk disorder-to-order Quantum Critical Points
摘要：
研究了两种非平凡边界效应之间的相互作用：（1）三维（$3d$）强相互作用玻色子对称性保护拓扑态的二维（$2d$）边缘态，（2）$3d$体无序到有序相变的边界涨落.然后，我们将我们的研究推广到$2d$无带隙状态本地化的界面嵌入在一个$3d$散装，当散装进行量子相变。我们的研究是基于这些系统的通用长波长描述和控制分析计算。我们的结果概括如下：（$i.$）通过与体量子相变的边界涨落耦合，原型玻色对称保护态的边缘态可以被驱动到一个新的不动点;（$ii.$）通过与体量子临界模耦合，局域在$3d$ SU（N）量子反铁磁体的$2d$界面上的态可以被驱动到一个新的不动点.研究了新的不动点的性质。
英文摘要：
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.
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