Work

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

Year: 2023

Type: article

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.

Source: Scientific Reports

DOI: 10.1038/s41598-023-40690-9

Authors: Sudin Ganguly, Santanu K. Maiti

Institutions: University of Science and Technology, Meghalaya, Indian Statistical Institute

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,390

OpenAlex ID: W4386023219