Rigorous spectral analysis of the metal-insulator transition in a limit-periodic potential

Schulz-Baldes H, Zarrouati M (1998)

Publication Type: Journal article

Publication year: 1998

Journal

Journal of Statistical Physics Springer Verlag (Germany)

Publisher: Springer Verlag (Germany)

Book Volume: 91

Pages Range: 801-806

Journal Issue: 3

URI: http://www.ma.utexas.edu/mp_arc-bin/mpa?yn=97-346

DOI: 10.1023/A:1023094030969

Abstract

We consider the limit-periodic Jacobi matrices associated with the real Julia sets of fλ(z) = z2-λ. for which λε[2, ∝) can be seen as the strength of the limit-periodic coefficients. The typical local spectral exponent of their spectral measures is shown to be a harmonic function in λ decreasing logarithmically from 1 to 0.

Authors with CRIS profile

Hermann Schulz-Baldes Professur für Mathematik (Mathematische Physik)

Involved external institutions

Université Toulouse III - Paul Sabatier FR France (FR)

How to cite

APA:

Schulz-Baldes, H., & Zarrouati, M. (1998). Rigorous spectral analysis of the metal-insulator transition in a limit-periodic potential. Journal of Statistical Physics, 91(3), 801-806. https://dx.doi.org/10.1023/A:1023094030969

MLA:

Schulz-Baldes, Hermann, and Marc Zarrouati. "Rigorous spectral analysis of the metal-insulator transition in a limit-periodic potential." Journal of Statistical Physics 91.3 (1998): 801-806.

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