Multifractality of wavefunctions at the quantum Hall transition revisited

Details Multifractality of wavefunctions at the quantum Hall transition revisited Multifractality of wavefunctions at the quantum Hall transition revisited

2001-05-15

arxiv.org/abs/cond-mat/0105297v1

Phys. Rev. B 64, 241303(R) (2001)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages Latex

Scientific paper

10.1103/PhysRevB.64.241303

We investigate numerically the statistics of wavefunction amplitudes $\psi({\bf r})$ at the integer quantum Hall transition. It is demonstrated that in the limit of a large system size the distribution function of $|\psi|^2$ is log-normal, so that the multifractal spectrum $f(\alpha)$ is exactly parabolic. Our findings lend strong support to a recent conjecture for a critical theory of the quantum Hall transition.

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