{ "id": "1503.08256", "version": "v1", "published": "2015-03-28T01:52:48.000Z", "updated": "2015-03-28T01:52:48.000Z", "title": "Deconfined criticality for the two-dimensional quantum S=1-spin model with the three-spin and biquadratic interactions", "authors": [ "Yoshihiro Nishiyama" ], "categories": [ "cond-mat.stat-mech", "cond-mat.str-el" ], "abstract": "The criticality between the nematic and valence-bond-solid (VBS) phases was investigated for the two-dimensional quantum S=1-spin model with the three-spin and biquadratic interactions by means of the numerical diagonalization method. It is expected that the criticality belongs to a novel universality class, the so-called deconfined criticality, accompanied with unconventional critical indices. In this paper, we incorporate the three-spin interaction, and adjust the (redundant) interaction parameter so as to optimize the finite-size behavior. Treating the finite-size cluster with N \\le 20 spins, we estimate the correlation-length critical exponent as \\nu=0.88 (3).", "revisions": [ { "version": "v1", "updated": "2015-03-28T01:52:48.000Z" } ], "analyses": { "keywords": [ "two-dimensional quantum", "biquadratic interactions", "deconfined criticality", "novel universality class", "numerical diagonalization method" ], "publication": { "doi": "10.1140/epjb/e2015-50825-y", "journal": "European Physical Journal B", "year": 2015, "month": "Mar", "volume": 88, "number": 3, "pages": 71 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015EPJB...88...71N" } } }