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Engineering mobility in quasiperiodic lattices with exact mobility edges

Engineering mobility in quasiperiodic lattices with exact mobility edges

We investigate the effect of an additional modulation parameter $\ensuremath{\delta}$ on the mobility properties of quasiperiodic lattices described by a generalized Ganeshan-Pixley-Das Sarma model with two onsite modulation parameters. For the case with bounded quasiperiodic potential, we unveil the existence of self-duality relation, independent of $\ensuremath{\delta}$. By applying Avila's global …