{ "id": "0708.2917", "version": "v2", "published": "2007-08-21T20:48:19.000Z", "updated": "2008-01-08T19:02:18.000Z", "title": "Rounding by disorder of first-order quantum phase transitions: emergence of quantum critical points", "authors": [ "Pallab Goswami", "David Schwab", "Sudip Chakravarty" ], "comment": "Title is modified as requested by the PRL editor, minor stylistic changes, typos corrected, and a few new references added. It is published in PRL", "journal": "Phys. Rev. Lett. 100, 015703 (2008)", "doi": "10.1103/PhysRevLett.100.015703", "categories": [ "cond-mat.dis-nn", "cond-mat.stat-mech" ], "abstract": "We give a heuristic argument for disorder rounding of a first order quantum phase transition into a continuous phase transition. From both weak and strong disorder analysis of the the N-color quantum Ashkin-Teller model in one spatial dimension, we find that for $N \\geq 3$, the first order transition is rounded to a continuous transition and the physical picture is the same as the random transverse field Ising model for a limited parameter regime. The results are strikingly different from the corresponding classical problem in two dimensions where the fate of the renormalization group flows is a fixed point corresponding to N-decoupled pure Ising models.", "revisions": [ { "version": "v2", "updated": "2008-01-08T19:02:18.000Z" } ], "analyses": { "subjects": [ "64.60.A-", "05.10.Cc", "05.30.-d", "75.50.Lk" ], "keywords": [ "first-order quantum phase transitions", "quantum critical points", "transverse field ising model", "first order quantum phase transition" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review Letters", "year": 2008, "month": "Jan", "volume": 100, "number": 1, "pages": "015703" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008PhRvL.100a5703G" } } }