Self-consistent theory of mobility edges in quasiperiodic chains
نویسندگان
چکیده
We introduce a self-consistent theory of mobility edges in nearest-neighbour tight-binding chains with quasiperiodic potentials. Demarcating boundaries between localised and extended states the space system parameters energy, are generic systems which lack energy-independent self-duality commonly studied Aubry-Andr\'e-Harper model. The potentials such strongly infinite-range correlated, reflecting their deterministic nature rendering problem distinct from that disordered systems. Importantly, underlying theoretical framework introduced is model-independent, thus allowing analytical extraction edge trajectories for arbitrary exemplify using two families models, show results to be very good agreement exactly known as well numerical obtained exact diagonalisation.
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ژورنال
عنوان ژورنال: Physical review
سال: 2021
ISSN: ['0556-2813', '1538-4497', '1089-490X']
DOI: https://doi.org/10.1103/physrevb.103.l060201