Correlation of eigenstates in the critical regime of quantum Hall systems

Details Correlation of eigenstates in the critical regime of quantum Hall systems Correlation of eigenstates in the critical regime of quantum Hall systems

1996-05-02

arxiv.org/abs/cond-mat/9605012v1

J. Phys. Condensed Matter 8, 7147 (1996)

Physics

Condensed Matter

17 pages, 9 Postscript figures

Scientific paper

10.1088/0953-8984/8/38/017

We extend the multifractal analysis of the statistics of critical wave functions in quantum Hall systems by calculating numerically the correlations of local amplitudes corresponding to eigenstates at two different energies. Our results confirm multifractal scaling relations which are different from those occurring in conventional critical phenomena. The critical exponent corresponding to the typical amplitude, $\alpha_0\approx 2.28$, gives an almost complete characterization of the critical behavior of eigenstates, including correlations. Our results support the interpretation of the local density of states being an order parameter of the Anderson transition.

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