{ "id": "1206.4410", "version": "v2", "published": "2012-06-20T08:19:48.000Z", "updated": "2012-10-18T04:37:29.000Z", "title": "Bulk-edge correspondence for Chern topological phases: A viewpoint from a generalized index theorem", "authors": [ "T. Fukui", "K. Shiozaki", "T. Fujiwara", "S. Fujimoto" ], "comment": "17 pages, final version", "journal": "J. Phys. Soc. Jpn. 81 (2012) 114602", "categories": [ "cond-mat.mes-hall" ], "abstract": "We explore the bulk-edge correspondence for topological insulators (superconductors) without time-reversal symmetry from the point of view of the index theorem for open spaces. We assume generic Hamiltonians not only with a linear dispersion but also with higher order derivatives arising from generic band structures. Using a generalized index theorem valid for such systems, we show the equivalence between the spectral flow of the edge states and the Chern numbers specifying the bulk systems.", "revisions": [ { "version": "v2", "updated": "2012-10-18T04:37:29.000Z" } ], "analyses": { "keywords": [ "bulk-edge correspondence", "chern topological phases", "generalized index theorem valid", "generic band structures", "assume generic hamiltonians" ], "tags": [ "journal article" ], "publication": { "doi": "10.1143/JPSJ.81.114602", "journal": "Journal of the Physical Society of Japan", "year": 2012, "month": "Nov", "volume": 81, "number": 11, "pages": 4602 }, "note": { "typesetting": "TeX", "pages": 17, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012JPSJ...81k4602F" } } }