{ "id": "2103.05480", "version": "v1", "published": "2021-03-09T15:11:42.000Z", "updated": "2021-03-09T15:11:42.000Z", "title": "From the topological spin-Hall effect to the non-Hermitian skin effect in an elliptical micropillar chain", "authors": [ "S. Mandal", "R. Banerjee", "T. C. H. Liew" ], "comment": "4 pages main + 3 pages supplementary (excluding references)", "categories": [ "cond-mat.mes-hall", "physics.optics" ], "abstract": "The topological spin-Hall effect causes different spins to propagate in opposite directions based on Hermitian physics. The non-Hermitian skin effect causes the localization of all modes of a system at its edges. Although these effects have separately attracted tremendous interest, their completely different origins have made them hard to observe in a single system. Here we propose a system based on exciton-polariton elliptical micropillars hosting both the effects. The polarization splitting and different orientation of the elliptical micropillars naturally give rise to the topological spin-Hall effect in a one dimensional lattice. By making the effective decay rates of the different spin ($\\sigma_\\pm$) modes unequal, the system makes a phase transition from the Hermitian regime to non-Hermitian regime showing the non-Hermitian skin effect.", "revisions": [ { "version": "v1", "updated": "2021-03-09T15:11:42.000Z" } ], "analyses": { "keywords": [ "non-hermitian skin effect", "topological spin-hall effect", "elliptical micropillar chain", "hermitian physics", "non-hermitian regime" ], "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable" } } }