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

Shunsuke Furukawa, Grégoire Misguich

研究成果: Article査読

77 被引用数 (Scopus)

抄録

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.

本文言語English
論文番号214407
ジャーナルPhysical Review B - Condensed Matter and Materials Physics
75
21
DOI
出版ステータスPublished - 2007 6月 5
外部発表はい

ASJC Scopus subject areas

  • 電子材料、光学材料、および磁性材料
  • 凝縮系物理学

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