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An exact solution is found for the problem of the center-of-band (E = 0) anomaly in the one- dimensional (1D) Anderson model of localization. By deriving and solving an equation for the generating f...
We test the usefulness of a generalized inverse participation ratio (GIPR) as a measure of Anderson localization. The GIPR differs from the usual inverse participation ratio in that it depends on the ...
The one-dimensional (1d) Anderson model (AM), i.e. a tight-binding chain with uncorrelated Gaussian disorder in the on-site energies, has statistical anomalies at any rational point f = 2a E , where ...

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