{ "id": "math-ph/0307051", "version": "v1", "published": "2003-07-24T20:57:33.000Z", "updated": "2003-07-24T20:57:33.000Z", "title": "The large-spin asymptotics of the ferromagnetic XXZ chain", "authors": [ "Tom Michoel", "Bruno Nachtergaele" ], "comment": "30 pages, submitted to the proceedings of the workshop \"Low-energy states in quantum many-body systems\", 29 January 2003, Cergy-Pontoise", "journal": "Markov Processes and Related Fields, 11 (2005) 237-266", "categories": [ "math-ph", "math.MP" ], "abstract": "We present new results and give a concise review of recent previous results on the asymptotics for large spin of the low-lying spectrum of the ferromagnetic XXZ Heisenberg chain with kink boundary conditions. Our main interest is to gain detailed information on the interface ground states of this model and the low-lying excitations above them. The new and most detailed results are obtained using a rigorous version of bosonization, which can be interpreted as a quantum central limit theorem.", "revisions": [ { "version": "v1", "updated": "2003-07-24T20:57:33.000Z" } ], "analyses": { "subjects": [ "82B10", "82B24", "82D40" ], "keywords": [ "ferromagnetic xxz chain", "large-spin asymptotics", "ferromagnetic xxz heisenberg chain", "quantum central limit theorem", "kink boundary conditions" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 30, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2003math.ph...7051M" } } }