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  Site dilution in the Kitaev honeycomb model

Willans, A. J., Chalker, J. T., & Moessner, R. (2011). Site dilution in the Kitaev honeycomb model. Physical Review B, 84(11): 115146.

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Willans, A. J., Author
Chalker, J. T., Author
Moessner, R.1, Author              
Affiliations:
1Max Planck Institute for the Physics of Complex Systems, Max Planck Society, ou_2117288              

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 MPIPKS: YB 2012
 Abstract: 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) similar to 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) similar to (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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 Dates: 2011-09-28
 Publication Status: Published in print
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 Identifiers: eDoc: 608155
ISI: 000295325800003
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Title: Physical Review B
Source Genre: Journal
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Pages: - Volume / Issue: 84 (11) Sequence Number: 115146 Start / End Page: - Identifier: ISSN: 1098-0121