{ "id": "1909.00809", "version": "v1", "published": "2019-09-02T17:55:43.000Z", "updated": "2019-09-02T17:55:43.000Z", "title": "Perspective on topological states of non-Hermitian lattices", "authors": [ "Luis E. F. Foa Torres" ], "comment": "22 pages, 4 figures, invited article to appear in Journal of Physics: Materials, special issue", "categories": [ "cond-mat.mes-hall", "quant-ph" ], "abstract": "The search of topological states in non-Hermitian systems has gained a strong momentum over the last two years climbing to the level of an emergent research front. In this Perspective we give an overview with a focus in connecting this topic to others like Floquet systems. Furthermore, using a simple scattering picture we discuss an interpretation of concepts like the Hamiltonian's defectiveness, i.e. the lack of a full basis of eigenstates, crucial in many discussions of topological phases of non-Hermitian Hamiltonians.", "revisions": [ { "version": "v1", "updated": "2019-09-02T17:55:43.000Z" } ], "analyses": { "keywords": [ "topological states", "non-hermitian lattices", "perspective", "emergent research front", "non-hermitian systems" ], "note": { "typesetting": "TeX", "pages": 22, "language": "en", "license": "arXiv", "status": "editable" } } }