{ "id": "1405.0408", "version": "v2", "published": "2014-05-02T14:08:38.000Z", "updated": "2015-02-27T10:12:24.000Z", "title": "Quantization of interface currents", "authors": [ "Motoko Kotani", "Hermann Schulz-Baldes", "Carlos Villegas-Blas" ], "comment": "final version, minor corrections, appears in J. Math. Phys", "categories": [ "math-ph", "math.MP" ], "abstract": "At the interface of two two-dimensional quantum systems, there may exist interface currents similar to edge currents in quantum Hall systems. It is proved that these interface currents are macroscopically quantized by an integer that is given by the difference of the Chern numbers of the two systems. It is also argued that at the interface between two time-reversal invariant systems with half-integer spin, one of which is trivial and the other non-trivial, there are dissipationless spin-polarized interface currents.", "revisions": [ { "version": "v1", "updated": "2014-05-02T14:08:38.000Z", "comment": null, "journal": null, "doi": null }, { "version": "v2", "updated": "2015-02-27T10:12:24.000Z" } ], "analyses": { "keywords": [ "quantization", "two-dimensional quantum systems", "interface currents similar", "quantum hall systems", "time-reversal invariant systems" ], "tags": [ "journal article" ], "publication": { "doi": "10.1063/1.4902377", "journal": "Journal of Mathematical Physics", "year": 2014, "month": "Dec", "volume": 55, "number": 12, "pages": 121901 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014JMP....55l1901K" } } }