Magnetic group analysis of electromagnetic modes in C2ν (C2)-symmetric graphene array

Abstract

In this work we analyse properties of symmetric devices with magnetic media by using magnetic group tools. The point-group theory has been used frequently to describe electromagnetic responses of nonmagnetic symmetric components. In a structure with magnetic medium biased by a magnetic field, usually some of the symmetry transformations of the corresponding nonmagnetic component are lost and non-unitary transformations appear. This changes the algebraic structure of the group and also changes its representations. We develop a general method of application of the theory of corepresentations of magnetic groups using as an example a current density modes in a magnetized graphene array described by magnetic symmetry C2v (C2).