Ground-state properties of the Rokhsar-Kivelson dimer model on the triangular lattice

A. Ioselevich, D. A. Ivanov, M. V. Feigelman

Research output: Contribution to journalArticlepeer-review

40 Citations (Scopus)

Abstract

We explicitly show that the Rokhsar-Kivelson dimer model on the triangular lattice is a liquid with topological order. Using the Pfaffian technique, we prove that the difference in local properties between the two topologically degenerate ground states on the cylinders and on the tori decreases exponentially with increasing system size. We compute the relevant correlation length and show that it equals the correlation length of the vison operator.

Original languageEnglish
Article number174405
Pages (from-to)1744051-17440510
Number of pages10
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume66
Issue number17
DOIs
Publication statusPublished - 1 Nov 2002
Externally publishedYes

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