Quantum Return Probability for Substitution Potentials

Details Quantum Return Probability for Substitution Potentials Quantum Return Probability for Substitution Potentials

1999-05-18

arxiv.org/abs/cond-mat/9905256v1

J. Phys. A: Math. Gen. 32 (1999) L285-L292

Physics

Condensed Matter

Latex, 13 pages, 6 figures; to be published in Journal of Physics A

Scientific paper

10.1088/0305-4470/32/26/102

We propose an effective exponent ruling the algebraic decay of the average quantum return probability for discrete Schrodinger operators. We compute it for some non-periodic substitution potentials with different degrees of randomness, and do not find a complete qualitative agreement with the spectral type of the substitution sequences themselves, i.e., more random the sequence smaller such exponent.

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