Metallic phase of the quantum Hall effect in four-dimensional space.

  title={Metallic phase of the quantum Hall effect in four-dimensional space.},
  author={Jonathan M. Edge and Jakub Tworzydło and C. W. J. Beenakker},
  journal={Physical review letters},
  volume={109 13},
We study the phase diagram of the quantum Hall effect in four-dimensional (4D) space. Unlike in 2D, in 4D there exists a metallic as well as an insulating phase, depending on the disorder strength. The critical exponent ν≈1.2 of the diverging localization length at the quantum Hall insulator-to-metal transition differs from the semiclassical value ν=1 of 4D Anderson transitions in the presence of time-reversal symmetry. Our numerical analysis is based on a mapping of the 4D Hamiltonian onto a… 
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