Topological entanglement entropy of three-dimensional Kitaev model

Abstract

We calculate the topological entanglement entropy (TEE) for a three-dimensional hyperhoneycomb lattice generalization of Kitaev's honeycomb lattice spin model. We find that for this model TEE is not directly determined by the total quantum dimension of the system. This is in contrast to general two dimensional systems and many three dimensional models, where TEE is related to the total quantum dimension. Our calculation also provides TEE for a three-dimensional toric-code-type Hamiltonian that emerges as the effective low-energy theory for the Kitaev model in a particular limit.

6 pages, 4 figures

References in corpus (8)

• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Models and Materials for Generalized Kitaev Magnetism
• Ground state entanglement and geometric entropy in the Kitaev's model
• Topological order in a 3D toric code at finite temperature
• Three-dimensional topological phase on the diamond lattice
• Entanglement of a 3D generalization of the Kitaev model on the diamond lattice
• Structure of the Entanglement Entropy of (3+1)D Gapped Phases of Matter
• Entanglement in 3D Kitaev Spin Liquids

Cited by in corpus (2)

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• Deciphering competing interactions of Kitaev-Heisenberg-$\Gamma$ system in clusters: part II -- dynamics of Majorana fermions