Programme

P.2 -- Poster, ANSWCCMS-2023

Date: Tuesday, 7 November 2023

Time: 13:00 - 14:30

Topological phase transition of generalized Brillouin zone

Sonu Verma

Center for Theoretical Physics of Complex Systems, Institute for Basic Science, Daejeon, Korea

A generic feature of topological phases of matter is the bulk-boundary correspondence (BBC) which connects the concept of bulk topology to the emergence of topological boundary states. Recent studies prove that non-Hermitian systems show two types of BBC: (i) complex eigenvalue topology of the bulk leads to non-Hermitian skin effect, where all bulk states localize at one boundary of the system, and (ii) eigenstate topology for systems with more than one band leads to the conventional topological boundary states. Moreover, for discussing topological phases in non-Hermitian systems, the notion of the Brillouin zone (BZ) has been extended to the generalized Brillouin zone (GBZ). In my poster presentation, I will discuss a new type of BBC, which originates from the intrinsic topology of the generalized Brillouin zone (GBZ). We find that the topological phase transition of GBZ is characterized by the generalized momentum touching of GBZ, which accompanies the emergence of an exceptional point. I will also discuss generalizations of our results to many body systems such as the Kuramoto model of the locally coupled oscillators in one dimension.

Presenter: Sonu Verma