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

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

2011-06-13

arxiv.org/abs/1106.2385v2

Physics

Condensed Matter

Strongly Correlated Electrons

8 pages, 3 figures. Version with references corrected

Scientific paper

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.

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