Phase-averaged transport for quasiperiodic Hamiltonians

Bellissard J, Guarneri I, Schulz-Baldes H (2002)

Publication Type: Journal article

Publication year: 2002

Journal

Communications in Mathematical Physics Springer Verlag (Germany)

Publisher: Springer Verlag (Germany)

Book Volume: 227

Pages Range: 515-539

URI: http://de.arxiv.org/abs/math-ph/0405023

DOI: 10.1007/s002200200642

Abstract

For a class of discrete quasi-periodic Schroedinger operators defined by covariant re- presentations of the rotation algebra, a lower bound on phase-averaged transport in terms of the multifractal dimensions of the density of states is proven. This result is established under a Diophantine condition on the incommensuration parameter. The relevant class of operators is distinguished by invariance with respect to symmetry automorphisms of the rotation algebra. It includes the critical Harper (almost-Mathieu) operator. As a by-product, a new solution of the frame problem associated with Weyl-Heisenberg-Gabor lattices of coherent states is given.

Authors with CRIS profile

Hermann Schulz-Baldes Professur für Mathematik (Mathematische Physik)

Involved external institutions

Georgia Institute of Technology US United States (USA) (US) University of Insubria / Università degli Studi dell'Insubria IT Italy (IT)

How to cite

APA:

Bellissard, J., Guarneri, I., & Schulz-Baldes, H. (2002). Phase-averaged transport for quasiperiodic Hamiltonians. Communications in Mathematical Physics, 227, 515-539. https://dx.doi.org/10.1007/s002200200642

MLA:

Bellissard, Jean, Italo Guarneri, and Hermann Schulz-Baldes. "Phase-averaged transport for quasiperiodic Hamiltonians." Communications in Mathematical Physics 227 (2002): 515-539.

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