{ "id": "1202.1960", "version": "v2", "published": "2012-02-09T12:10:03.000Z", "updated": "2012-03-05T08:48:05.000Z", "title": "Integer Quantum Hall Effect in a Lattice Model Revisited: Kubo Formalism", "authors": [ "Paramita Dutta", "Santanu K. Maiti", "S. N. Karmakar" ], "comment": "7 pages, 7 figures", "journal": "Journal of Applied Physics, Volume 112, Issue 4, Page 044306 (2012)", "doi": "10.1063/1.4748312", "categories": [ "cond-mat.mes-hall" ], "abstract": "We investigate numerically the integer quantum Hall effect (IQHE) in a two-dimensional square lattice with non-interacting electrons subjected to disorder and uniform magnetic field in a direction perpendicular to the lattice plane. We employ nearest-neighbor tight-binding Hamiltonian to describe the system and obtain the longitudinal and transverse conductivities by using Kubo formalism. The interplay between the magnetic field and disorder is also discussed. Our analysis may be helpful in studying IQHE in any discrete lattice model.", "revisions": [ { "version": "v2", "updated": "2012-03-05T08:48:05.000Z" } ], "analyses": { "subjects": [ "73.43.Cd", "71.15.Ap", "05.40.-a" ], "keywords": [ "integer quantum hall effect", "kubo formalism", "lattice model", "employ nearest-neighbor tight-binding hamiltonian", "uniform magnetic field" ], "tags": [ "journal article" ], "publication": { "publisher": "AIP", "journal": "Journal of Applied Physics", "year": 2012, "month": "Aug", "volume": 112, "number": 4, "pages": 4306 }, "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012JAP...112d4306D" } } }