A Description of Kitaev’s Honeycomb Model with Toric-Code Stabilizers

Kells, G. and Slingerland, J. K. and Vala, J. (2009) A Description of Kitaev’s Honeycomb Model with Toric-Code Stabilizers. Physical Review B, 80 (12). ISSN 1098-0121

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Official URL: http://doi.org/10.1103/PhysRevB.80.125415


We present a description of the Kitaev honeycomb lattice model as a BCS type system. A 2-dimensional fermionization procedure is outlined and the derived eigenstates of the system are shown to be Cooper-paired products of toric-code states. We extend our analysis to a torus, giving particular attention to the ground state of the fully periodic vortex-free sector.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 05 Oct 2017 19:19
Last Modified: 13 Jul 2018 11:20
URI: http://dair.dias.ie/id/eprint/239

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