Localization for One-Dimensional Anderson–Dirac Models
نویسندگان
چکیده
We prove spectral and dynamical localization for a one-dimensional Dirac operator to which is added an ergodic random potential, with discussion on the different types of potential. use scattering properties positivity Lyapunov exponent through Fürstenberg theorem. get then Hölder regularity integrated density states new version Thouless formula, thus Wegner estimate necessary multiscale analysis.
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Article history: Received 7 July 2011 Accepted 11 September 2011 Available online 17 September 2011
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ژورنال
عنوان ژورنال: Annales Henri Poincaré
سال: 2022
ISSN: ['1424-0661', '1424-0637']
DOI: https://doi.org/10.1007/s00023-022-01203-y