Multifractal Wave Functions of a System with a Monofractal Energy Spectrum

TL;DR

This paper demonstrates the emergence of multifractal wave functions in a one-dimensional quasiperiodic system with a monofractal energy spectrum, using inverse problem techniques and analyzing the relation to information dimension.

Contribution

It introduces a novel model constructed via the Mantica technique, linking critical states to information dimension in a quasiperiodic system with a monofractal spectrum.

Findings

Multifractal wave functions appear in the system.

A relation between critical states and information dimension is established.

Finite-size multifractal analysis is applied successfully.

Abstract

We show the appearance of multifractal wave functions on a one-dimensional quasiperiodic system that has a monofractal energy spectrum. Using the Mantica technique, we construct the model as an inverse problem from the energy spectrum of a pure Cantor set. A relation between the critical state and the information dimension is proved and it is applied to the finite-size multifractal analysis.