{ "id": "1610.05764", "version": "v1", "published": "2016-10-18T10:53:57.000Z", "updated": "2016-10-18T10:53:57.000Z", "title": "Reply to \"Comment on \"Critical Point Scaling of Ising Spin Glasses in a Magnetic Field\" \"", "authors": [ "Joonhyun Yeo", "M. A. Moore" ], "comment": "To appear in Physical Review B; Reply to arXiv:1610.04747", "categories": [ "cond-mat.dis-nn", "cond-mat.stat-mech" ], "abstract": "In his Comment, Temesv\\'{a}ri objects to a remark in our paper [Phys.\\ Rev.\\ B {\\bf 91}, 104432 (2015)] that his result for the form of the Almeida-Thouless (AT) line obtained in an earlier paper with Parisi [Nucl.\\ Phys.\\ B {\\bf 858}, 293 (2012)] in six dimensions can be obtained by taking the limit of $d \\to 6$ in the equations valid for $d>6$, but that this violated one of the inequalities needed for their validity. He is just pointing out that they gave a derivation of the form of the AT line in six dimensions in [Nucl.\\ Phys.\\ B {\\bf 858}, 293 (2012)] which avoided this difficulty. However, it is still a perturbative approach, and does not deal with the lack of a perturbative fixed point found by Bray and Roberts [J. Phys. C {\\bf 13}, 5405 (1980)] long ago.", "revisions": [ { "version": "v1", "updated": "2016-10-18T10:53:57.000Z" } ], "analyses": { "keywords": [ "ising spin glasses", "critical point scaling", "magnetic field", "earlier paper", "dimensions" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }