Duthie, A and Roy, S and Logan, DE (2021) Self-consistent theory of mobility edges in quasiperiodic chains. In: Physical Review B, 103 (6).
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Abstract
We introduce a self-consistent theory of mobility edges in nearest-neighbor tight-binding chains with quasiperiodic potentials. Demarcating boundaries between localized and extended states in the space of system parameters and energy, mobility edges are quite typical in quasiperiodic systems which lack the energy-independent self-duality of the commonly studied Aubry-André-Harper model. The potentials in such systems are strongly and infinite-range correlated, reflecting their deterministic nature and rendering the problem distinct from that of disordered systems. Importantly, the underlying theoretical framework introduced is model independent, thus allowing analytical extraction of mobility edge trajectories for arbitrary quasiperiodic systems. We exemplify the theory using two families of models and show the results to be in very good agreement with the exactly known mobility edges as well as numerical results obtained from exact diagonalization. © 2021 American Physical Society.
| Item Type: | Journal Article |
|---|---|
| Publication: | Physical Review B |
| Publisher: | American Physical Society |
| Additional Information: | The copyright of this article belongs to American Physical Society |
| Keywords: | Disordered system; Exact diagonalization; Model independent; Nearest neighbors; Numerical results; Quasiperiodic potential; Quasiperiodic systems; Theoretical framework |
| Department/Centre: | Division of Physical & Mathematical Sciences > Physics |
| Date Deposited: | 04 Mar 2021 10:33 |
| Last Modified: | 04 Mar 2021 10:33 |
| URI: | http://eprints.iisc.ac.in/id/eprint/68102 |
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