Bi-hyperbolic isofrequency surface in a magnetic-semiconductor superlattice

TL;DR

This paper investigates the topology of isofrequency surfaces in a magnetic-semiconductor superlattice under magnetic fields, revealing new bi-hyperbolic topologies and their dependence on material ratios and magnetic influence.

Contribution

It introduces the concept of bi-hyperbolic isofrequency surfaces as a new topology class in wave dispersion within magnetic-semiconductor superlattices.

Findings

Topology transitions from closed to hyperbolic forms under magnetic influence

Bi-hyperbolic surfaces appear due to material ratio and magnetic field effects

New wave dispersion topology class identified

Abstract

The topology of isofrequency surfaces of a magnetic-semiconductor superlattice influenced by an external static magnetic field is studied. In particular, in the given structure, topology transitions from standard closed forms of spheres and ellipsoids to open ones of Type I and Type II hyperboloids as well as bi-hyperboloids were revealed and analyzed. In the latter case, it is found out that a complex of an ellipsoid and bi-hyperboloid in isofrequency surfaces appears as a simultaneous effect of both the ratio between magnetic and semiconductor filling factors and magnetic field influence. It is proposed to consider the obtained bi-hyperbolic isofrequency surface as a new topology class of the wave dispersion.