{ "id": "1008.0531", "version": "v1", "published": "2010-08-03T12:12:17.000Z", "updated": "2010-08-03T12:12:17.000Z", "title": "Dynamics of the (spin-) Hall effect in topological insulators and graphene", "authors": [ "Balázs Dóra", "Roderich Moessner" ], "comment": "4 pages, 3 figures", "journal": "Phys. Rev. B 83, 073403 (2011)", "doi": "10.1103/PhysRevB.83.073403", "categories": [ "cond-mat.mes-hall", "cond-mat.stat-mech" ], "abstract": "A single two-dimensional Dirac cone with a mass gap produces a quantized (spin-) Hall step in the absence of magnetic field. What happens in strong electric fields? This question is investigated by analyzing time evolution and dynamics of the (spin-) Hall effect. After switching on a longitudinal electric field, a stationary Hall current is reached through damped oscillations. The Hall conductivity remains quantized as long as the electric field (E) is too weak to induce Landau-Zener transitions, but quantization breaks down for strong fields and the conductivity decreases as 1/sqrt{E}. These apply to the (spin-) Hall conductivity of graphene and the Hall and magnetoelectric response of topological insulators.", "revisions": [ { "version": "v1", "updated": "2010-08-03T12:12:17.000Z" } ], "analyses": { "subjects": [ "73.20.-r", "72.80.Vp", "73.43.-f" ], "keywords": [ "hall effect", "topological insulators", "single two-dimensional dirac cone", "hall conductivity remains", "mass gap produces" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review B", "year": 2011, "month": "Feb", "volume": 83, "number": 7, "pages": "073403" }, "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011PhRvB..83g3403D" } } }