Work

A fractal geometry immersed in a hierarchical magnetic flux distribution

Year: 2025

Type: article

Abstract: Fractal geometry presents us with a self-similarity in their pattern at various length scales that is prevalent in our natural world. We present a theoretical model of a Sierpinski gasket (SPG) fractal geometry with deterministic perturbation in the form of a hierarchical distribution of magnetic flux. Such flux configuration induces a deterministic disorder in the Aharonov–Bohm (AB) phases picked up by the electron wavefunction. Using the tight-binding formalism, we show that by tuning the strength of the hierarchy parameter of those AB phases, one can systematically engineer quantum states in an SPG fractal lattice. In addition to this, we have also observed that by controlling the strength of this hierarchy parameter in the magnetic flux, one can effectively regulate the persistent current in the SPG fractal structure. This characteristic is found to be true for various filling factors. Our results could be useful for designing nanoelectronic devices using molecular fractal structures fabricated by chemical synthesis technique.

Source: Journal of Applied Physics

DOI: 10.1063/5.0257273

Author: Biplab Pal

Institution: Nagaland University

Language: English

Topic: Quantum and electron transport phenomena

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,500

Funders: Tata Institute of Fundamental Research, Presidency University