Energy Localization and Topological Defect in Spherical Non-Hermitian Topolectrical Circuits

Abstract

This work examines the energy localization in non-Hermitian systems, with a particular focus on the influence of topological defects in spherical models. Alterations in the mode distribution are explored within non-Hermitian Su-Schrieffer-Heeger (SSH) chains affected by these defects, utilizing the Maximum Skin Corner Weight (MaxWSC) metric. An innovative spherical model is introduced, created by segmenting spheres into 1D chain structures, to study the non-Hermitian skin effect (NHSE) within a spherical geometric framework. Experimental validations conducted on Printed Circuit Boards (PCBs) corroborate the theoretical insights. These findings not only substantiate the theoretical approach but also illustrate the capability of engineered circuit systems to mimic complex non-Hermitian phenomena, highlighting the utility of spherical geometries in exploring NHSE and topological phenomena in non-Hermitian systems.