{ "id": "1311.6959", "version": "v2", "published": "2013-11-27T12:58:54.000Z", "updated": "2014-04-11T04:32:11.000Z", "title": "Functions Characterizing the Ground State of the XXZ Spin-1/2 Chain in the Thermodynamic Limit", "authors": [ "Maxime Dugave", "Frank Göhmann", "Karol K. Kozlowski" ], "journal": "SIGMA 10 (2014), 043, 18 pages", "doi": "10.3842/SIGMA.2014.043", "categories": [ "math-ph", "cond-mat.str-el", "hep-th", "math.MP" ], "abstract": "We establish several properties of the solutions to the linear integral equations describing the infinite volume properties of the XXZ spin-1/2 chain in the disordered regime. In particular, we obtain lower and upper bounds for the dressed energy, dressed charge and density of Bethe roots. Furthermore, we establish that given a fixed external magnetic field (or a fixed magnetization) there exists a unique value of the boundary of the Fermi zone.", "revisions": [ { "version": "v2", "updated": "2014-04-11T04:32:11.000Z" } ], "analyses": { "keywords": [ "thermodynamic limit", "ground state", "functions characterizing", "infinite volume properties", "fixed external magnetic field" ], "tags": [ "journal article" ], "publication": { "journal": "SIGMA", "year": 2014, "month": "Apr", "volume": 10, "pages": "043" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1266465, "adsabs": "2014SIGMA..10..043D" } } }