Localization and Chern numbers for weakly disordered BdG operators

de Nittis G, Drabkin M, Schulz-Baldes H (2015)

Publication Type: Journal article, Original article

Publication year: 2015

Journal

Markov Processes and Related Fields Polymat Publishing Company

Publisher: Polymat Publishing Company

City/Town: to appear in

Book Volume: 21

Pages Range: 463-482

Journal Issue: 3

URI: http://de.arxiv.org/abs/1310.0207

Abstract

After a short discussion of various random Bogoliubov-de Gennes (BdG) model operators and the associated physics, the Aizenman - Molchanov method is applied to prove Anderson localization in the weak disorder regime for the spectrum in the central gap. This allows to construct random BdG operators which have localized states in an interval centered at zero energy. Furthermore, techniques for the calculation of Chern numbers are reviewed and applied to two non-trivial BdG operators, the p + ip wave and d + id wave superconductors.

Authors with CRIS profile

Giuseppe de Nittis Department Mathematik Maxim Drabkin Lehrstuhl für Mathematik (Mathematische Physik) Hermann Schulz-Baldes Professur für Mathematik (Mathematische Physik)

How to cite

APA:

de Nittis, G., Drabkin, M., & Schulz-Baldes, H. (2015). Localization and Chern numbers for weakly disordered BdG operators. Markov Processes and Related Fields, 21(3), 463-482.

MLA:

de Nittis, Giuseppe, Maxim Drabkin, and Hermann Schulz-Baldes. "Localization and Chern numbers for weakly disordered BdG operators." Markov Processes and Related Fields 21.3 (2015): 463-482.

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