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Calculation of spectral dependence of Anderson criterion for 1D system with correlated diagonal disorder
G. G. Kozlov Fock Research Institute of Physics, St. Petersburg State
University, St. Petersburg, Russia
Abstract:
We consider the problem of calculating the Anderson criterion for a one-dimensional disordered chain with correlated disorder. We solve this
problem by the perturbation method with the inverse correlation length as
the small parameter. We show that in a correlated system, the degree of
localization not only naturally decreases but its spectral dependence also
differs significantly from the spectral dependence in uncorrelated chains.
The calculations are based on the method for constructing joint statistics
of Green's functions, which was previously used to analyze uncorrelated
one-dimensional systems. We illustrate the theoretical calculations with a numerical experiment.
Keywords:
Anderson localization, correlated disorder, Green's function.
Received: 23.09.2013
Citation:
G. G. Kozlov, “Calculation of spectral dependence of Anderson criterion for 1D system with correlated diagonal disorder”, TMF, 179:1 (2014), 134–144; Theoret. and Math. Phys., 179:1 (2014), 500–508
Linking options:
https://www.mathnet.ru/eng/tmf8598https://doi.org/10.4213/tmf8598 https://www.mathnet.ru/eng/tmf/v179/i1/p134
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