期刊论文详细信息
Classification of topological defects in Abelian topological states
Article
关键词: QUANTUM HALL STATES;    LIQUIDS;    ANYONS;   
DOI  :  10.1103/PhysRevB.88.241103
来源: SCIE
【 摘 要 】

We propose the most general classification of pointlike and linelike extrinsic topological defects in (2 + 1)-dimensional Abelian topological states. We first map generic extrinsic defects to boundary defects, and then provide a classification of the latter. Based on this classification, the most generic point defects can be understood as domain walls between topologically distinct boundary regions. We show that topologically distinct boundaries can themselves be classified by certain maximal subgroups of mutually bosonic quasiparticles, called Lagrangian subgroups. We study the topological properties of the point defects, including their quantum dimension, localized zero modes, and projective braiding statistics.

【 授权许可】

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