Entanglement of a 3D generalization of the Kitaev model on the diamond lattice

Ian Mondragon-Shem, Taylor L. Hughes

Research output: Contribution to journalArticlepeer-review

Abstract

We study the entanglement properties of a 3D generalization of the Kitaev honeycomb model proposed by Ryu (2009 Phys. Rev. B 79 075124). The entanglement entropy in this model separates into a contribution from a Z2 gauge field and that of a system of hopping Majorana fermions, similar to what occurs in the Kitaev model. This separation enables the systematic study of the entanglement of this 3D interacting bosonic model by using the tools of non-interacting fermions. In this way, we find that the topological entanglement entropy comes exclusively from the Z2 gauge field and that it is the same for all of the phases of the system. There are differences, however, in the entanglement spectrum of the Majorana fermions that distinguish between the topologically distinct phases of the model. We further point out that the effect of introducing vortex lines in the Z2 gauge field will only change the entanglement contribution of the Majorana fermions. We evaluate this contribution to the entanglement which arises due to gapless Majorana modes that are trapped by the vortex lines.

Original languageEnglish (US)
Article numberP10022
JournalJournal of Statistical Mechanics: Theory and Experiment
Volume2014
Issue number10
DOIs
StatePublished - Oct 1 2014

Keywords

  • entanglement in extended quantum systems (theory)
  • Quantum phase transitions (theory)

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