Reduced density matrices and topological order in a quantum dimer model

Shunsuke Furukawa, Grégoire Misguich, Masaki Oshikawa

研究成果: Article査読

5 被引用数 (Scopus)


Resonating valence bond (RVB) liquids in two dimensions are believed to exhibit topological order and to admit no local order parameter of any kind. This is a defining property of 'liquids', but it has been confirmed explicitly only in a few exactly solvable models. In this paper, we investigate the quantum dimer model on the triangular lattice. This possesses an RVB-type liquid phase, however, for which the absence of a local order parameter has not been proved. We examine the question numerically with a measure based on reduced density matrices. We find a scaling of the measure which strongly supports the absence of any local order parameter.

ジャーナルJournal of Physics Condensed Matter
出版ステータスPublished - 2007 4 11

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics

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