Distinct quantum vacua of topologically ordered states can be tunneled into each other via
extended operators. The possible applications include condensed matter and quantum …

Symmetry fractionalization on topological excitations is one of the most remarkable quantum
phenomena in topological orders with symmetry, ie, symmetry-enriched topological phases …

Symmetry plays a crucial role in enriching topological phases of matter. Phases with intrinsic
topological order that are symmetric are called symmetry-enriched topological phases …

Symmetry-protected and symmetry-enriched topological (SPT/SET) phases in three
dimensions are quantum systems that support nontrivial two-dimensional (2D) surface …

We construct the symmetric-gapped surface states of a fractional topological insulator with
an electromagnetic θ angle θ em= π 3 and a discrete Z 3 gauge field. They are the proper …

The Pfaffian fractional quantum Hall (FQH) states are incompressible non-Abelian
topological fluids present in a half-filled electron Landau level, where there is a balanced …

在有对称性保护的条件下, 拓扑能带绝缘体等自由费米子体系的拓扑不变量可以在能带结构计算
中得到. 但是, 为了得到强关联拓扑物质态的拓扑不变量, 我们需要全新的理论思路 …

This dissertation discusses some applications of conformal field theories (CFTs) in
topological phases of matter. The first part is devoted to a discussion of coupled wire …