2021/10/08 by Filipa R. Prudêncio, Mário G. Silveirinha, Prudêncio, Filipa R. +1
Physics and Astronomy · #Applied Physics (physics.app-ph) #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Photonic Crystals and Applications #Topological Materials and Phenomena
paper · pdf · doi:10.48550/arxiv.2110.04050
openalex publication_date 2021/10/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Photonic topological materials with a broken time reversal symmetry are\ncharacterized by nontrivial topological phases, such that they do not support\npropagation in the bulk region but forcibly support a nontrivial net number of\nunidirectional edge states when enclosed by an opaque type boundary, e.g., an\nelectric wall. The Haldane model played a central role in the development of\ntopological methods in condensed matter systems, as it unveiled that a broken\ntime reversal is the essential ingredient to have a quantized electronic Hall\nphase. Recently, it was proved that the magnetic field of the Haldane model can\nbe imitated in photonics with a spatially varying pseudo Tellegen coupling.\nHere, we use a Greens function method to determine from first principles the\nband diagram and the topological invariants of the photonic Haldane model,\nimplemented as a Tellegen photonic crystal. Furthermore, the topological phase\ndiagram of the system is found, and it is shown with first principles\ncalculations that the granular structure of the photonic crystal can create\nnontrivial phase transitions controlled by the amplitude of the pseudo Tellegen\nparameter.\n