{ "id": "math-ph/0508049", "version": "v1", "published": "2005-08-25T00:12:20.000Z", "updated": "2005-08-25T00:12:20.000Z", "title": "Droplet Excitations for the Spin-1/2 XXZ Chain with Kink Boundary Conditions", "authors": [ "Bruno Nachtergaele", "Wolfgang Spitzer", "Shannon Starr" ], "comment": "36 pages, figures included as eps files", "journal": "Ann. H. Poincar\\'e, 8 (2007) 165-201", "doi": "10.1007/s00023-006-0304-6", "categories": [ "math-ph", "cond-mat.stat-mech", "math.MP" ], "abstract": "We give a precise definition for excitations consisting of a droplet of size n in the XXZ chain with various choices of boundary conditions, including kink boundary conditions and prove that, for each n, the droplet energies converge to a boundary condition independent value in the thermodynamic limit. We rigorously compute an explicit formula for this limiting value using the Bethe ansatz.", "revisions": [ { "version": "v1", "updated": "2005-08-25T00:12:20.000Z" } ], "analyses": { "subjects": [ "82B10", "82B20", "82B23" ], "keywords": [ "kink boundary conditions", "xxz chain", "droplet excitations", "boundary condition independent value", "droplet energies converge" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 36, "language": "en", "license": "arXiv", "status": "editable", "inspire": 692411, "adsabs": "2006AnHP....8..165N" } } }