A small concentration of vacancies in the Kitaev model of quantum spin liquids (QSLs) alter its low-energy physics, offering a plausible explanation for recent experimental results on the QSL-hosting compound H ${}_{3}$ LiIr ${}_{2}$ O ${}_{6}$ .A small concentration of vacancies in the Kitaev model of quantum spin liquids (QSLs) alter its low-energy physics, offering a plausible explanation for recent experimental results on the QSL-hosting compound H${}_{3}$LiIr${}_{2}$O${}_{6}$.

arXiv:2007.11637Physical Review XFeb 18, 202168 citations

The influence of many-quasi-particle states at low energy

Robert Arvieu, Vincenzo Manfredi

Nuclear Physics AFeb 1, 19759 citations

Site dilution in the Kitaev honeycomb model

A. J. Willans, J. T. Chalker, Roderich Moessner

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 $\ensuremath{\chi}(h)\ensuremath{\sim}\mathrm{ln}(1/h)$ 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 $\ensuremath{\chi}(h)\ensuremath{\sim}{(h{[\mathrm{ln}(1/h)]}^{3/2})}^{\ensuremath{-}1}$. 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.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 $\ensuremath{\chi}(h)\ensuremath{\sim}\mathrm{ln}(1/h)$ 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 $\ensuremath{\chi}(h)\ensuremath{\sim}{(h{[\mathrm{ln}(1/h)]}^{3/2})}^{\ensuremath{-}1}$. 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.

arXiv:1106.0732Physical Review BSep 28, 201195 citations

Field-induced phases in generalized Kitaev models and materials

Roser Valentí, David A. S. Kaib, Kira Riedl +2 more

Bulletin of the American Physical SocietyMar 5, 20180 citations

{}_{3}

LiIr

{}_{2}

{}_{6}

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 $\ensuremath{\chi}(h)\ensuremath{\sim}\mathrm{ln}(1/h)$ 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 $\ensuremath{\chi}(h)\ensuremath{\sim}{(h{[\mathrm{ln}(1/h)]}^{3/2})}^{\ensuremath{-}1}$. 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.