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.
@article{arxiv.2603.24346,
title = {Parametrized Version of the Generalized Aubry-Andr\'e Model},
author = {Moorad Alexanian},
journal= {arXiv preprint arXiv:2603.24346},
year = {2026}
}