Disorder perturbed Flat Bands I: Level density and Inverse Participation Ratio
Abstract
We consider the effect of disorder on the tight-binding Hamiltonians with a flat band and derive a common mathematical formulation of the average density of states and inverse participation ratio applicable for a wide range of them. The system information in the formulation appears through a single parameter which plays an important role in search of the critical points for disorder driven transitions in flat bands [1]. In weak disorder regime, the formulation indicates an insensitivity of the statistical measures to disorder strength, thus confirming the numerical results obtained by our as well as previous studies.
Keywords
Cite
@article{arxiv.1712.03523,
title = {Disorder perturbed Flat Bands I: Level density and Inverse Participation Ratio},
author = {Pragya Shukla},
journal= {arXiv preprint arXiv:1712.03523},
year = {2018}
}
Comments
34 Pages, 4 figures, Previous version divided in two parts to include new sections and details, title and abstract changed too