Topological phase transition and surface states in a non-Abelian charged nodal line photonic crystal.

ABSTRACT: Topological charges of nodal lines in a multigap system are represented by non-Abelian numbers, and the Euler class, a topological invariant, can be used to explain their topological phase transitions, such as pair-annihilation of nodal lines. Up until now, no discussion of phase transitions of nodal lines in photonic crystals using the Euler class has been reported, despite the fact that the Euler class and topological phase transition have recently been addressed in metallic or acoustic crystals. Here, we show how the deformation of a photonic crystal causes topological phase transitions in the nodal lines, and the Euler class can be used to theoretically predict the nodal lines' stability based on the non-Abelian topological charge theory. Specifically, by manipulating the separation be

SUBMITTER: Park H 

PROVIDER: S-EPMC11501625 | biostudies-literature | 2024 Mar

REPOSITORIES: biostudies-literature