{ "id": "1210.4818", "version": "v1", "published": "2012-10-17T18:50:00.000Z", "updated": "2012-10-17T18:50:00.000Z", "title": "Controlling edge states in the Kane-Mele model via edge chirality", "authors": [ "Gabriel Autès", "Oleg V. Yazyev" ], "comment": "to appear in Phys. Status Solidi RRL, Focus Issue on Topological Insulators", "journal": "Phys. Status Solidi RRL 7, 151 (2013)", "doi": "10.1002/pssr.201206383", "categories": [ "cond-mat.mes-hall", "cond-mat.mtrl-sci", "cond-mat.str-el" ], "abstract": "We investigate the dependence of band dispersion of the quantum spin Hall effect (QSHE) edge states in the Kane-Mele model on crystallographic orientation of the edges. Band structures of the one-dimensional honeycomb lattice ribbons show the presence of the QSHE edge states at all orientations of the edges given sufficiently strong spin-orbit interactions. We find that the Fermi velocities of the QSHE edge-state bands increase monotonically when the edge orientation changes from zigzag (chirality angle $\\theta = 0^\\circ$) to armchair ($\\theta = 30^\\circ$). We propose a simple analytical model to explain the numerical results.", "revisions": [ { "version": "v1", "updated": "2012-10-17T18:50:00.000Z" } ], "analyses": { "keywords": [ "controlling edge states", "kane-mele model", "edge chirality", "edge-state bands increase", "quantum spin hall effect" ], "tags": [ "journal article" ], "publication": { "journal": "Physica Status Solidi Rapid Research Letters", "year": 2013, "month": "Feb", "volume": 7, "number": "1-2", "pages": 151 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013PSSRR...7..151A" } } }