Sadel CH, Schulz-Baldes H (2010)
Publication Type: Journal article, Original article
Publication year: 2010
Publisher: Springer Verlag (Germany)
Book Volume: 295
Pages Range: 209-242
URI: http://de.arxiv.org/abs/0902.1935
DOI: 10.1007/s00220-009-0956-4
Quasi-one-dimensional stochastic Dirac operators with an odd number of channels, time reversal symmetry but otherwise efficiently coupled randomness, are shown to have one conducting channel and absolutely continuous spectrum of multiplicity two. This follows by adapting the criteria of Guivarch-Raugi and Goldsheid-Margulis to the analysis of random products of matrices in the group SO*(2L), and then a version of Kotani theory for these operators. Absence of singular spectrum can be shown by adapting an argument of Jaksic-Last if the potential contains random Dirac peaks with absolutely continuous distribution. © The Author(s) 2009.
APA:
Sadel, C.H., & Schulz-Baldes, H. (2010). Random Dirac operators with time reversal symmetry. Communications in Mathematical Physics, 295, 209-242. https://doi.org/10.1007/s00220-009-0956-4
MLA:
Sadel, Christian Hermann, and Hermann Schulz-Baldes. "Random Dirac operators with time reversal symmetry." Communications in Mathematical Physics 295 (2010): 209-242.
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