{ "id": "cond-mat/0608296", "version": "v1", "published": "2006-08-13T10:28:22.000Z", "updated": "2006-08-13T10:28:22.000Z", "title": "Spin and chiral stiffness of the XY spin glass in two dimensions", "authors": [ "Martin Weigel", "Michel J. P. Gingras" ], "comment": "6 pages, 2 figures, proceedings of the HFM2006 conference, to appear in a special issue of J. Phys.: Condens. Matter", "journal": "J. Phys.: Condens. Matter 19, 145217 (2007)", "doi": "10.1088/0953-8984/19/14/145217", "categories": [ "cond-mat.dis-nn" ], "abstract": "We analyze the zero-temperature behavior of the XY Edwards-Anderson spin glass model on a square lattice. A newly developed algorithm combining exact ground-state computations for Ising variables embedded into the planar spins with a specially tailored evolutionary method, resulting in the genetic embedded matching (GEM) approach, allows for the computation of numerically exact ground states for relatively large systems. This enables a thorough re-investigation of the long-standing questions of (i) extensive degeneracy of the ground state and (ii) a possible decoupling of spin and chiral degrees of freedom in such systems. The new algorithm together with appropriate choices for the considered sets of boundary conditions and finite-size scaling techniques allows for a consistent determination of the spin and chiral stiffness scaling exponents.", "revisions": [ { "version": "v1", "updated": "2006-08-13T10:28:22.000Z" } ], "analyses": { "keywords": [ "xy spin glass", "chiral stiffness", "algorithm combining exact ground-state", "combining exact ground-state computations", "developed algorithm combining exact" ], "tags": [ "conference paper", "journal article" ], "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable" } } }