{ "id": "1604.07688", "version": "v1", "published": "2016-04-26T14:19:30.000Z", "updated": "2016-04-26T14:19:30.000Z", "title": "Continuously Varying Critical Exponents Beyond Weak Universality", "authors": [ "N. Khan", "P. Sarkar", "A. Midya", "P. Mandal", "P. K. Mohanty" ], "comment": "5 pages, 3 eps figures (and supplemental material 1 page, 2 eps figures)", "categories": [ "cond-mat.stat-mech", "cond-mat.other" ], "abstract": "We show, from magnetization measurements, that the the critical exponents \\beta, \\gamma and \\delta of the ferromagnetic to paramagnetic transition in [Sm_{1-y}Nd_{y}]_{0.52}[Sr]_{0.48}MnO_3 vary continuously with Nd concentration (y>0.4) and the critical line eventually ends at the Heisenberg universality class in three dimension when y=1. Continuous variation of these three critical exponents violate both universality and weak universality hypothesis. We propose a new scaling ansatz which explains the observed variation of exponents and suggests that the y-dependence of critical exponents does not lead to new universality, rather they are only Heisenberg fixed points with rescaled exponents. The proposed scaling hypothesis includes weak universality as a special case and provides a generic route leading to continuous variation of critical exponents and multicriticality.", "revisions": [ { "version": "v1", "updated": "2016-04-26T14:19:30.000Z" } ], "analyses": { "keywords": [ "continuously varying critical exponents", "continuous variation", "weak universality hypothesis", "heisenberg universality class", "paramagnetic transition" ], "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2016arXiv160407688K" } } }