Topological <i>n</i>-root Su-Schrieffer-Heeger model in a non-Hermitian photonic ring system.

ABSTRACT: Square-root topology is one of the newest additions to the ever expanding field of topological insulators (TIs). It characterizes systems that relate to their parent TI through the squaring of their Hamiltonians. Extensions to 2 ⁿ -root topology, where n is the number of squaring operations involved in retrieving the parent TI, were quick to follow. Here, we go one step further and develop the framework for designing general n-root TIs, with n any positive integer, using the Su-Schrieffer-Heeger (SSH) model as the parent TI from which the higher-root versions are constructed. The method relies on using loops of unidirectional couplings as building blocks, such that the resulting model is non-Hermitian and embedded with a generalized chiral symmetry. E

SUBMITTER: Viedma D 

PROVIDER: S-EPMC11501127 | biostudies-literature | 2024 Jan

REPOSITORIES: biostudies-literature