{ "id": "cond-mat/0609161", "version": "v2", "published": "2006-09-07T08:46:32.000Z", "updated": "2007-04-13T03:19:12.000Z", "title": "Multifractality and Conformal Invariance at 2D Metal-Insulator Transition in the Spin-Orbit Symmetry Class", "authors": [ "H. Obuse", "A. R. Subramaniam", "A. Furusaki", "I. A. Gruzberg", "A. W. W. Ludwig" ], "comment": "5 pages, 4 figures", "journal": "Phys. Rev. Lett. 98, 156802 (2007)", "doi": "10.1103/PhysRevLett.98.156802", "categories": [ "cond-mat.dis-nn", "cond-mat.mes-hall" ], "abstract": "We study the multifractality (MF) of critical wave functions at boundaries and corners at the metal-insulator transition (MIT) for noninteracting electrons in the two-dimensional (2D) spin-orbit (symplectic) universality class. We find that the MF exponents near a boundary are different from those in the bulk. The exponents at a corner are found to be directly related to those at a straight boundary through a relation arising from conformal invariance. This provides direct numerical evidence for conformal invariance at the 2D spin-orbit MIT. The presence of boundaries modifies the MF of the whole sample even in the thermodynamic limit.", "revisions": [ { "version": "v2", "updated": "2007-04-13T03:19:12.000Z" } ], "analyses": { "keywords": [ "conformal invariance", "2d metal-insulator transition", "spin-orbit symmetry class", "multifractality", "2d spin-orbit mit" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. Lett." }, "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable" } } }