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

@article{Edge2012MetallicPO, 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}, year={2012}, volume={109 13}, pages={ 135701 } }

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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