{ "id": "1106.2114", "version": "v1", "published": "2011-06-10T16:46:11.000Z", "updated": "2011-06-10T16:46:11.000Z", "title": "Bifurcation in ground-state fidelity for a one-dimensional spin model with competing two-spin and three-spin interactions", "authors": [ "Hong-Lei Wang", "Yan-Wei Dai", "Bing-Quan Hu", "Huan-Qiang Zhou" ], "comment": "4+ pages, 5 figures", "categories": [ "cond-mat.stat-mech" ], "abstract": "A one-dimensional quantum spin model with the competing two-spin and three-spin interactions is investigated in the context of a tensor network algorithm based on the infinite matrix product state representation. The algorithm is an adaptation of Vidal's infinite time-evolving block decimation algorithm to a translation-invariant one-dimensional lattice spin system involving three-spin interactions. The ground-state fidelity per lattice site is computed, and its bifurcation is unveiled, for a few selected values of the coupling constants. We succeed in identifying critical points and deriving local order parameters to characterize different phases in the conventional Ginzburg-Landau-Wilson paradigm.", "revisions": [ { "version": "v1", "updated": "2011-06-10T16:46:11.000Z" } ], "analyses": { "keywords": [ "one-dimensional spin model", "three-spin interactions", "ground-state fidelity", "competing two-spin", "infinite time-evolving block decimation" ], "tags": [ "journal article" ], "publication": { "doi": "10.1016/j.physleta.2011.09.014", "journal": "Physics Letters A", "year": 2011, "month": "Oct", "volume": 375, "number": 45, "pages": 4045 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011PhLA..375.4045W" } } }