Multifractal Wave Functions of a System with a Monofractal Energy Spectrum
Statistical Mechanics
2015-05-20 v1 Quantum Physics
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.
Keywords
Cite
@article{arxiv.1012.0100,
title = {Multifractal Wave Functions of a System with a Monofractal Energy Spectrum},
author = {Masayuki Tashima and Shuichi Tasaki},
journal= {arXiv preprint arXiv:1012.0100},
year = {2015}
}
Comments
14 pages