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Armenian Journal of Physics=Ֆիզիկայի հայկական հանդես
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Title:
Parametrized Version of the Generalized Aubry-André Model
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Uncontrolled Keywords:
Bose-Hubbard model ; generalized Aubry-André model ; recurrence-relation ansatz ; extended and localized states
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Abstract:
A recently introduced recurrence-relation ansatz applied to the Bose-Hubbard model is here used in the generalized Aubry-André model. The resulting modified Aubry-André model allows for a simple parametrization of the solutions in terms of three parameters, viz., the system energy when the quasiperiodicity amplitude Δ = 0, the site μ where the particle is initially localized, and the tuning parameter α ∈ (−1, 1) that determines the regions of localized or extended states. The standard Aubry-André form corresponds to α = 0.