Localised zero-energy modes in the Kitaev model with vacancy-disorder
Abstract
We study the effects of vacancy disorder on the Kitaev model defined on a hexagonal lattice. We show that the vacancy disorder induces a zero-mode that is localized at the defect site. We derive analytical forms for these localized wave functions in both the gapped and gapless phases of the Kitaev model. We conjecture that the vacancy disorder can be utilized as a probe of the quantum phase transition (from the gapped to gapless phases) in this model. The behavior of the Inverse Participation Ratio (IPR) in the gapless phase and across the transition is also studied numerically. Comments are made about the behavior of site-site entanglement in the single particle states for the case of a single vacancy.
Keywords
Cite
@article{arxiv.1106.2385,
title = {Localised zero-energy modes in the Kitaev model with vacancy-disorder},
author = {Santhosh G. and V. Sreenath and Arul Lakshminarayan and Rajesh Narayanan},
journal= {arXiv preprint arXiv:1106.2385},
year = {2013}
}
Comments
8 pages, 3 figures. Version with references corrected