{ "id": "1312.6476", "version": "v2", "published": "2013-12-23T08:06:36.000Z", "updated": "2013-12-24T05:59:19.000Z", "title": "Asymptotic freedom at zero temperature in crystalline membranes", "authors": [ "E. I. Kats", "V. V. Lebedev" ], "comment": "7 pages", "categories": [ "cond-mat.stat-mech" ], "abstract": "We investigate effects of quantum (zero-temperature) long wavelength fluctuations of free standing crystalline membranes, that are two-dimensional objects embedded into three-dimensional space. The fluctuations produce logarithmic renormalization of elasticity and bending moduli of the membranes. We find one-loop RG-equations to demonstrate that the system is in the \"asymptotic freedom\" regime that is the quantum fluctuations destabilize the flat membrane phase.", "revisions": [ { "version": "v2", "updated": "2013-12-24T05:59:19.000Z" } ], "analyses": { "subjects": [ "68.55.J-", "68.35.Ct", "68.65.-k" ], "keywords": [ "asymptotic freedom", "zero temperature", "fluctuations produce logarithmic renormalization", "free standing crystalline membranes", "long wavelength fluctuations" ], "tags": [ "journal article" ], "publication": { "doi": "10.1103/PhysRevB.89.125433", "journal": "Physical Review B", "year": 2014, "month": "Mar", "volume": 89, "number": 12, "pages": 125433 }, "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014PhRvB..89l5433K" } } }