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arXiv · 2603.24346

Parametrized Version of the Generalized Aubry-Andr\'e Model

Moorad Alexanian
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Abstract

A recently introduced recurrence-relation ansatz applied to the Bose-Hubbard model is here used in the generalized Aubry-Andre model. The resulting modified Aubry-Andre model allows for a simple parametrization of the solutions in terms of three parameters, viz., the system energy when the quasiperiodicity amplitude Delta = 0, the site mu where the particle is initially localized, and the tuning parameter -1 < alpha < 1 that determines the regions of localized or extended states. The standard Aubry-Andre form corresponds to alpha = 0.

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Moorad Alexanian. 2026-03-25. Parametrized Version of the Generalized Aubry-Andr\'e Model. https://doi.org/10.54503/18291171-2026.19.1-77

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