期刊
PHYSICAL REVIEW B
卷 103, 期 6, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.103.064426
关键词
-
资金
- NSF [DMR-1920434]
- David and Lucile Packard Foundation
- Simons Foundation
This study explores the physical constructions and boundary properties of various symmetry-protected topological phases involving 1-form symmetries, from one spatial dimension to four spatial dimensions. It also examines anomalies of 3d states of matter and discusses the connection between SPT states with 1-form symmetries and condensed-matter systems in lower dimensions. Additionally, the potential trivial gapped phases of quantum dimer models are explored based on the nature of their corresponding bulk states in higher dimensions.
We discuss physical constructions and the boundary properties of various symmetry-protected topological phases that involve 1-form symmetries from one spatial dimension to four spatial dimensions (4d). For example, the prototype three-dimensional (3d) boundary state of 4d SPT states involving 1-form symmetries can be either a gapless photon phase (quantum electrodynamics) or gapped topological order enriched by 1-form symmetries; that is, the loop excitations of these topological orders carry nontrivial 1-form symmetry charges. This study also serves the purpose of diagnosing anomalies of 3d states of matter. Connection between SPT states with 1-form symmetries and condensed-matter systems such as quantum dimer models at one lower dimension will also be discussed. Whether a quantum dimer model can have a trivial gapped phase depends on the nature of its corresponding bulk state in one higher dimension.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据