{ "id": "1006.0151", "version": "v1", "published": "2010-06-01T15:20:03.000Z", "updated": "2010-06-01T15:20:03.000Z", "title": "Effects of Quenched Randomness on Classical and Quantum Phase Transitions", "authors": [ "Rafael L. Greenblatt" ], "comment": "100 pages LaTeX (with included style files), 3 EPS figures. Doctoral dissertation", "categories": [ "cond-mat.stat-mech", "cond-mat.dis-nn", "math-ph", "math.MP", "quant-ph" ], "abstract": "This dissertation describes the effect of quenched randomness on first order phase transitions in lattice systems, classical and quantum. It is proven that a large class of quantum lattice systems in low dimension (d <= 2 or, with suitable continuous symmetry, d <= 4) cannot exhibit first-order phase transitions in the presence of suitable (\"direct\") quenched disorder.", "revisions": [ { "version": "v1", "updated": "2010-06-01T15:20:03.000Z" } ], "analyses": { "keywords": [ "quantum phase transitions", "quenched randomness", "first order phase transitions", "first-order phase transitions", "quantum lattice systems" ], "tags": [ "dissertation" ], "publication": { "journal": "Ph.D. Thesis", "year": 2010 }, "note": { "typesetting": "LaTeX", "pages": 100, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010PhDT.......178G" } } }