Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2000-05-23
Phys. Rev. B 63, 241101 (2001)
Physics
Condensed Matter
Disordered Systems and Neural Networks
13 pages, 5 figures
Scientific paper
We determine the statistical properties of wave functions in disordered quantum systems by exact diagonalization of one-, two- and quasi-one dimensional tight-binding Hamiltonians. In the quasi-one dimensional case we find that the tails of the distribution of wave-function amplitudes are described by the non-linear sigma-model. In two dimensions, the tails of the distribution function are consistent with a recent prediction based on a direct optimal fluctuation method.
Mehlig Bernhard
R{ö}mer Rudolf A.
Schreiber Michael
Uski Ville
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