Pseudo-gaps for random hopping models

Dorsch F, Schulz-Baldes H (2020)

Publication Type: Journal article

Publication year: 2020

Journal

Journal of Physics A: Mathematical and Theoretical Institute of Physics Publishing (IOP)

Book Volume: 53

Journal Issue: 18

DOI: 10.1088/1751-8121/ab5e8c

Abstract

For one-dimensional random Schrodinger operators, the integrated density of states is known to be given in terms of the (averaged) rotation number of the Prufer phase dynamics. This paper develops a controlled perturbation theory for the rotation number around an energy at which all the transfer matrices commute and are hyperbolic. Such a hyperbolic critical energy appears in random hopping models. The main result is a Holder continuity of the rotation number at the critical energy that implies the existence of a pseudo-gap. The proof uses renewal theory. The result is illustrated by numerics.

Authors with CRIS profile

Florian Dorsch Lehrstuhl für Mathematik (Mathematische Physik) Hermann Schulz-Baldes Professur für Mathematik (Mathematische Physik)

How to cite

APA:

Dorsch, F., & Schulz-Baldes, H. (2020). Pseudo-gaps for random hopping models. Journal of Physics A: Mathematical and Theoretical, 53(18). https://dx.doi.org/10.1088/1751-8121/ab5e8c

MLA:

Dorsch, Florian, and Hermann Schulz-Baldes. "Pseudo-gaps for random hopping models." Journal of Physics A: Mathematical and Theoretical 53.18 (2020).

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