论文标题
互动的散装边界关系及其在对称破坏和超越对称性方面的应用
An Interaction Bulk-Boundary Relation and its Applications Towards Symmetry Breaking and Beyond
论文作者
论文摘要
在本文中，我们提出了一个简单但一般的缩放率关系，在散布的散装拓扑问题和无间隙相互作用的表面状态中。我们明确说明了拓扑量子物质中一些特定相互作用的这种通用散装关系（BBR），在其中我们可以对微观散装理论进行维数降低，以预测相互作用的表面。我们已经检查了散装大量费米对相互作用拓扑表面费米的重新归一化作用。作为简单的应用，我们利用BBR暗示的有效相互作用量子场来探索通往各种迷人的新兴现象的可行性，包括自发对称性破坏引起的新兴Majorana fermions。我们获得了这些相互作用的表面现象的足够条件。我们还发现，对于给定的散装电子 - 呼应相互作用，当ω__{d} \ geq m时，如果散装debye频率ω__{d}与M相匹配，则声子介导的表面上的相互作用最强
In this article, we propose a simple but general scaling relation between interactions in a gapped bulk topological matter and gapless interacting surface states. We explicitly illustrate such a generic bulk-boundary relation (BBR) for a few specific interactions in a topological quantum matter, where we can perform dimensional reduction of a microscopic bulk theory to project out interacting surfaces. We have examined renormalization effects of the gapped bulk fermions on the interacting topological surface fermions. As simple applications, we utilize effective interacting quantum fields implied by BBR to explore feasibility of routes to various fascinating emergent phenomena on surfaces including emergent Majorana fermions induced by spontaneous symmetry breaking. We obtain sufficient conditions for these interacting surface phenomena to take place. We have also found that for given bulk electron-phonon interactions and when Ω_{D} \geq m, the phonon-mediated interactions on surface are strongest if the bulk Debye frequency Ω_{D} matches m, the mass gap of the topological matter
