Exact exponents for the spin quantum Hall transition

Details Exact exponents for the spin quantum Hall transition Exact exponents for the spin quantum Hall transition

1999-02-03

arxiv.org/abs/cond-mat/9902063v1

Phys.Rev.Lett.82:4524,1999

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.82.4524

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.

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