2011•Journal of the Physical Society of JapanOpen access

Multifractal Wave Functions of a System with a Monofractal Energy Spectrum

Masayuki Tashima, Shuichi Tasaki

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.

Open-access reader

About this research paper

What this paper is about

Why it matters

OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Multifractal system, Quasiperiodic function, Energy spectrum, Statistical physics, Cantor set, Spectrum (functional analysis), Physics, Dimension (graph theory)