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

Article Type

Research Article

Publication Title

Scientific Reports

Abstract

This work explores the potential for achieving correlated disorder in electrical circuits by utilizing reactive elements. By establishing a direct correspondence between the tight-binding Hamiltonian and the admittance matrix of the circuit, a novel approach is presented. The localization phenomena within the circuit are investigated through the analysis of the two-port impedance. To introduce correlated disorder, the Aubry–André–Harper (AAH) model is employed. Both one-dimensional and quasi-one-dimensional AAH structures are examined and effectively mapped to their tight-binding counterparts. Notably, transitions from a high-conducting phase to a low-conducting phase are observed in these circuits, highlighting the impact of correlated disorder.

DOI

https://10.1038/s41598-023-40690-9

Publication Date

12-1-2023

Comments

Open Access, Gold, Green

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