Topological entanglement entropy in the quantum dimer model on the triangular lattice

Shunsuke Furukawa, Grégoire Misguich

Research output: Contribution to journalArticle

69 Citations (Scopus)

Abstract

A characterization of topological order in terms of bi-partite entanglement was proposed recently. It was argued that in a topological phase there is a universal additive constant in the entanglement entropy, called the topological entanglement entropy, which reflects the underlying gauge theory for the topological order. In the present paper, we evaluate numerically the topological entanglement entropy in the ground states of a quantum dimer model on the triangular lattice, which is known to have a dimer liquid phase with Z2 topological order. We examine the two original constructions to measure the topological entropy by combining entropies on plural areas, and we observe that in the large-area limit they both approach the value expected for Z2 topological order. We also consider the entanglement entropy on a topologically nontrivial "zigzag" area and propose to use it as another way to measure the topological entropy.

Original languageEnglish
Article number214407
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume75
Issue number21
DOIs
Publication statusPublished - 2007 Jun 5
Externally publishedYes

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Dimers
Entropy
dimers
entropy
Ground state
Gages
gauge theory
liquid phases
ground state
Liquids

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Topological entanglement entropy in the quantum dimer model on the triangular lattice. / Furukawa, Shunsuke; Misguich, Grégoire.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 75, No. 21, 214407, 05.06.2007.

Research output: Contribution to journalArticle

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