Electrical analogue of one-dimensional and quasi-one-dimensional Aubry-André-Harper lattices

Abstract

The present work discusses the possibility to realize correlated disorder in electrical circuits and studies the localization phenomena in terms of two-port impedance. The correlated disorder is incorporated using the Aubry-André-Harper (AAH) model. One-dimensional and quasi-one-dimensional AAH structures are explored and directly mapped with their tight-binding analogues. Transitions from the high-conducting phase to the low-conducting one are observed for the circuits.

6 pages, 7 figures, Comments are Welcome

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• Topological phase transition in non-Hermitian quasicrystals
• Nearest neighbor tight binding models with an exact mobility edge in one dimension
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Cited by in corpus (7)

• Circuit realisation of a two-orbital non-Hermitian tight-binding chain
• A numerical study of the localization transition of Aubry-André type models
• Controlled probing of localization effects in the non-Hermitian Aubry-André model via topolectrical circuits
• Anomalous spectrum in a non-Hermitian quasiperiodic chain
• Unveiling quantum criticality of disordered Aubry-André-Harper models via typical fidelity susceptibility
• Bias driven circular current in a ring nanojunction: Critical role of environmental interaction
• Exact and mean-field analysis of the role of Hubbard interactions on flux driven circular current in a quantum ring