Localization Transition in Kinetically Deformed one-dimensional Aubry-Andr\'e Model
We propose a $q$-deformation in the single-particle kinetic energy and investigate how it modifies the localization in the one-dimensional Aubry-Andr\'e (AA) model. We construct a Hermitian $q$-deformed kinetic operator as a nonlinear function of the lattice translation operator, preserving the uniform lattice and reco...