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Anomalies in the one-dimensional Anderson model at weak disorder

1990; Springer Science+Business Media; Volume: 130; Issue: 3 Linguagem: Inglês

10.1007/bf02096930

1432-0916

Massimo Campanino, Abel Klein,

Theoretical and Computational Physics

We show that at the special energiesE=2cosπp/q, the invariant measure, the Lyapunov exponent, and the density of states can be extended to zero disorder as C∞ functions in the disorder parameter. In particular, we obtain asymptotic series in the disorder parameter. This gives a rigorous proof of the existence of the anomalies originally discovered by Kappus and Wegner and studied by Derrida and Gardner and by Bovier and Klein.