Site dilution in Kitaev's honeycomb model

Details Site dilution in Kitaev's honeycomb model Site dilution in Kitaev's honeycomb model

2011-06-03

arxiv.org/abs/1106.0732v1

Phys. Rev. B 84, 115146 (2011)

Physics

Condensed Matter

Strongly Correlated Electrons

18 pages, 12 figures

Scientific paper

10.1103/PhysRevB.84.115146

We study the physical consequences of site dilution in Kitaev's honeycomb model, in both its gapped and gapless phases. We show that a vacancy binds a flux of the emergent $Z_2$ gauge field and induces a local moment. In the gapped phase this moment is free while in the gapless phase the susceptibility has the dependence $\chi(h)\sim\ln(1/h)$ on field strength $h$. Vacancy moments have interactions that depend on their separation, their relative sublattice, and the phase of the model. Strikingly, in the gapless phase, two nearby vacancies on the same sublattice have a parametrically larger $\chi(h)\sim(h[\ln(1/h)]^{3/2})^{-1}$. In the gapped phase, even a finite density of randomly distributed vacancies remains tractable, via a mapping to a bipartite random hopping problem. This leads to a strong disorder form of the low-energy thermodynamics, with a Dyson-type singularity in the density of states for excitations.

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