{ "id": "cond-mat/9902063", "version": "v1", "published": "1999-02-03T22:37:29.000Z", "updated": "1999-02-03T22:37:29.000Z", "title": "Exact exponents for the spin quantum Hall transition", "authors": [ "Ilya A. Gruzberg", "Andreas W. W. Ludwig", "N. Read" ], "comment": "5 pages, 2 figures", "journal": "Phys.Rev.Lett.82:4524,1999", "doi": "10.1103/PhysRevLett.82.4524", "categories": [ "cond-mat.mes-hall", "cond-mat.dis-nn", "cond-mat.supr-con", "hep-th" ], "abstract": "We consider the spin quantum Hall transition which may occur in disordered superconductors with unbroken SU(2) spin-rotation symmetry but broken time-reversal symmetry. Using supersymmetry, we map a model for this transition onto the two-dimensional percolation problem. The anisotropic limit is an sl(2|1) supersymmetric spin chain. The mapping gives exact values for critical exponents associated with disorder-averages of several observables in good agreement with recent numerical results.", "revisions": [ { "version": "v1", "updated": "1999-02-03T22:37:29.000Z" } ], "analyses": { "keywords": [ "spin quantum hall transition", "exact exponents", "supersymmetric spin chain", "two-dimensional percolation problem", "broken time-reversal symmetry" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. Lett." }, "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable", "inspire": 508629 } } }