KITS-IOP-ITP Joint Seminar

Title: Defects and textures in topological orders with broken continuous symmetries

Speaker: Prof. Yuan-Ming Lu (Ohio State University)
Time: July 06 (Thursday), 10:00
Place: Rm M830, IOP-CAS

Abstract: 
We study the interplay of classical and quantum orders, in two-dimensional topological phases which spontaneously break continuous symmetries. In particular, we present a framework that addresses how the topologically ordered quantum ground states affect the universal properties of topological point defects and textures of the classical order parameters. Mathematically, based on the long exact sequence of homotopy groups, we show how to classify universal properties of point defects and textures using the inflation-restriction exact sequence. We illustrate the framework using many examples, demonstrating (1) point defects can permute anyons in the topological orders and/or exhibit a ``defect fractionalization’’ phenomenon, (2) skyrmions as topologically nontrivial textures can be bound to Abelian anyons.  

[1] https://arxiv.org/abs/2211.13207

This talk will be a blackboard talk.

More details can be found in http://seminar.cpsjournals.cn/