Bi-hyperbolic isofrequency surface in a magnetic-semiconductor superlattice

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.

arXiv comment5 pages, 3 figures

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Cited by in corpus (6)

• Hyperbolic Metamaterials: From Dispersion Manipulation to Application
• Lossless and loss-induced topological transitions of isofrequency surfaces of a composite magnetic-semiconductor medium
• Photonic Chern insulators made of gyromagnetic hyperbolic metamaterials
• Tetra-hyperbolic and tri-hyperbolic optical phases in anisotropic metamaterials without magnetoelectric coupling due to hybridization of plasmonic and magnetic Bloch high-k polaritons
• Magnetically induced topological transitions of hyperbolic dispersion in biaxial gyrotropic media
• Spin-governed topological surfaces and broken spin-momentum locking in a gyromagnetic medium