{ "id": "1609.08566", "version": "v1", "published": "2016-09-27T18:31:54.000Z", "updated": "2016-09-27T18:31:54.000Z", "title": "Winding number and optical conductivity of multi-Weyl semimetals", "authors": [ "Seongjin Ahn", "E. J. Mele", "Hongki Min" ], "comment": "5 pages, 4 figures + supplementary material (11 pages)", "categories": [ "cond-mat.mes-hall" ], "abstract": "Multi-Weyl semimetals are a new type of Weyl semimetals which have anisotropic non-linear energy dispersion and a topological charge larger than one, thus exhibiting a unique quantum response. Using a unified lattice model we calculate the optical conductivity numerically in the multi-Weyl semimetal phase and in its neighboring gapped states, and obtain the characteristic frequency dependence of each phase analytically using a continuum model. The frequency dependence of longitudinal and transverse optical conductivities obeys scaling relations that are derived from the winding number of the parent multi-Weyl semimetal phase and can be used to distinguish these electronic states of matter.", "revisions": [ { "version": "v1", "updated": "2016-09-27T18:31:54.000Z" } ], "analyses": { "keywords": [ "optical conductivity", "winding number", "anisotropic non-linear energy dispersion", "parent multi-weyl semimetal phase", "optical conductivities obeys scaling relations" ], "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable" } } }