Work

Exact Exponents for the Spin Quantum Hall Transition

Year: 1999

Type: article

Abstract: We consider the spin quantum Hall transition which may occur in disordered superconductors with unbroken $\mathrm{SU}(2)$ 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 $\mathrm{sl}(2\ensuremath{\mid}1)$ 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.

Source: Physical Review Letters

DOI: 10.1103/physrevlett.82.4524

Authors: Ilya A. Gruzberg, Andreas W. W. Ludwig, N. Read

Institutions: University of California, Santa Barbara, Kavli Institute for Theoretical Physics, Yale University

Language: English

Topic: Theoretical and Computational Physics

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W1994577675

FWCI: 9.889

Cites: 13

Cited by: 209

Related to: 10