{ "id": "cond-mat/0109128", "version": "v1", "published": "2001-09-06T19:15:19.000Z", "updated": "2001-09-06T19:15:19.000Z", "title": "The Ising spin glass in a transverse field. Results of two fermionic models", "authors": [ "A Theumann", "A A Schmidt", "S G Magalhaes" ], "comment": "15 pages, 2 figures", "doi": "10.1016/S0378-4371(02)00810-5", "categories": [ "cond-mat.stat-mech" ], "abstract": "We analyze the long range Ising spin glass in a transverse field by using Grassmann variables in a field theory where the spin operators are represented by bilinear combinations of fermionic fields. We compare the results of two fermionic models. In the four state (4S)-model the diagonal Sz operator has two vanishing eigenvalues, that are suppressed by a restraint in the two states (2S)-model. Within a replica symmetric theory and in the static approximation we obtain similar results for both models.", "revisions": [ { "version": "v1", "updated": "2001-09-06T19:15:19.000Z" } ], "analyses": { "keywords": [ "transverse field", "fermionic models", "long range ising spin glass", "replica symmetric theory", "diagonal sz operator" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable" } } }