{ "id": "cond-mat/0504446", "version": "v4", "published": "2005-04-18T18:00:16.000Z", "updated": "2005-11-25T13:07:18.000Z", "title": "Scaling of Entanglement Entropy in the Random Singlet Phase", "authors": [ "Nicolas Laflorencie" ], "comment": "4 pages, 3 figures", "journal": "Phys. Rev. B 72, 140408(R) (2005)", "doi": "10.1103/PhysRevB.72.140408", "categories": [ "cond-mat.str-el", "cond-mat.dis-nn", "quant-ph" ], "abstract": "We present numerical evidences for the logarithmic scaling of the entanglement entropy in critical random spin chains. Very large scale exact diagonalizations performed at the critical XX point up to L=2000 spins 1/2 lead to a perfect agreement with recent real-space renormalization-group predictions of Refael and Moore [Phys. Rev. Lett. {\\bf 93}, 260602 (2004)] for the logarithmic scaling of the entanglement entropy in the Random Singlet Phase with an effective central charge ${\\tilde{c}}=c\\times \\ln 2$. Moreover we provide the first visual proof of the existence the Random Singlet Phase thanks to the quantum entanglement concept.", "revisions": [ { "version": "v4", "updated": "2005-11-25T13:07:18.000Z" } ], "analyses": { "keywords": [ "entanglement entropy", "random singlet phase thanks", "real-space renormalization-group predictions", "quantum entanglement concept", "large scale exact diagonalizations" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. B" }, "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable" } } }