{ "id": "1602.05188", "version": "v1", "published": "2016-02-16T15:24:40.000Z", "updated": "2016-02-16T15:24:40.000Z", "title": "Simple Models for All Topological Phases", "authors": [ "Tong Chern" ], "comment": "33 pages; no figures", "categories": [ "cond-mat.mes-hall", "cond-mat.supr-con", "math-ph", "math.MP" ], "abstract": "We constructed simple models for all the topological phases of free fermions. These explicit models can realize any topological phases (of the periodic table) with any possible topological invariants in any symmetry classes and at any spatial dimensions. Many well known models for topological insulators and superconductors are the special cases of our general constructions.", "revisions": [ { "version": "v1", "updated": "2016-02-16T15:24:40.000Z" } ], "analyses": { "keywords": [ "topological phases", "general constructions", "explicit models", "constructed simple models", "symmetry classes" ], "note": { "typesetting": "TeX", "pages": 33, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2016arXiv160205188C" } } }