A self-consistent theory of localisation in quasiperiodic chains

by Dr. Alexander James Duthie

at Condensed Matter Seminar

Mon, 23 May 2022, 11:30
Sacta-Rashi Building for Physics (54), room 207


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 in the space of system parameters and energy, mobility edges are generic 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.

Created on 19-05-2022 by Meidan, Dganit (dganit)
Updaded on 19-05-2022 by Meidan, Dganit (dganit)