Phys. Rev. Lett. 82, 4524–4527 (1999)

Exact Exponents for the Spin Quantum Hall Transition

Abstract

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Ilya A. Gruzberg¹, Andreas W. W. Ludwig^1,2, and N. Read^3,*
¹Institute for Theoretical Physics, University of California, Santa Barbara, California 93106-4030
²Physics Department, University of California, Santa Barbara, California 93106-4030
³Department of Physics, Yale University, P.O. Box 208120, New Haven, Connecticut 06520-8120

Received 4 February 1999; published in the issue dated 31 May 1999

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.

URL:

http://link.aps.org/doi/10.1103/PhysRevLett.82.4524

DOI:

10.1103/PhysRevLett.82.4524

PACS:

73.40.Hm, 72.15.Rn, 73.20.Fz

^*Permanent address.

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Phys. Rev. Lett. 82, 4524–4527 (1999)

Exact Exponents for the Spin Quantum Hall Transition