Quantum interference in nanofractals and its optical manifestation

TL;DR

This paper investigates how quantum interference in nanofractal structures affects their optical properties, highlighting the role of fractal dimension and disorder, with implications for experimental observation.

Contribution

It introduces a scaling approach to analyze electron density of states in fractals and links fractal dimension to optical behavior in the RF-IR spectrum.

Findings

Fractal dimension governs the density of states and optical properties.

Disorder impacts the density of states.

Potential for experimental observation of quantum interference effects.

Abstract

We consider quantum interferences of ballistic electrons propagating inside fractal structures with nanometric size of their arms. We use a scaling argument to calculate the density of states of free electrons confined in a simple model fractal. We show how the fractal dimension governs the density of states and optical properties of fractal structures in the RF-IR region. We discuss the effect of disorder on the density of states along with the possibility of experimental observation.