Localised zero-energy modes in the Kitaev model with vacancy-disorder

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 m...

Full description

Saved in:
Bibliographic Details
Published inarXiv.org
Main Authors Santhosh, G, Sreenath, V, Lakshminarayan, Arul, Narayanan, Rajesh
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 01.07.2011
Subjects
Entanglement
Hexagonal lattice
Lattice vacancies
Lattice vibration
Mathematical models
Phase transitions
Physics - Disordered Systems and Neural Networks
Physics - Strongly Correlated Electrons
Wave functions
Online AccessGet full text

Cover

More Information
Summary: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.
Bibliography:Preprint No. IITM/PH/TH/2011/6
ISSN:2331-8422
DOI:10.48550/arxiv.1106.2385