de Nittis G, Drabkin M, Schulz-Baldes H (2015)
Publication Type: Journal article, Original article
Publication year: 2015
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
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.
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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