From the SU(2) quantum link model on the honeycomb lattice to the quantum dimer model on the kagome lattice: Phase transition and fractionalized flux strings

D. Banerjee, F. J. Jiang, T. Z. Olesen, P. Orland, U. J. Wiese

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We consider the (2+1)-dimensional SU(2) quantum link model on the honeycomb lattice and show that it is equivalent to a quantum dimer model on the kagome lattice. The model has crystalline confined phases with spontaneously broken translation invariance associated with pinwheel order, which is investigated with either a Metropolis or an efficient cluster algorithm. External half-integer non-Abelian charges [which transform nontrivially under the Z(2) center of the SU(2) gauge group] are confined to each other by fractionalized strings with a delocalized Z(2) flux. The strands of the fractionalized flux strings are domain walls that separate distinct pinwheel phases. A second-order phase transition in the three-dimensional Ising universality class separates two confining phases: one with correlated pinwheel orientations, and the other with uncorrelated pinwheel orientations.

Original languageEnglish
Article number205108
JournalPhysical Review B
Volume97
Issue number20
DOIs
Publication statusPublished - 2018 May 9

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Dimers
strings
Phase transitions
dimers
Fluxes
Domain walls
Invariance
Crystal lattices
confining
strands
Gages
integers
domain wall
invariance
Crystalline materials

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

From the SU(2) quantum link model on the honeycomb lattice to the quantum dimer model on the kagome lattice : Phase transition and fractionalized flux strings. / Banerjee, D.; Jiang, F. J.; Olesen, T. Z.; Orland, P.; Wiese, U. J.

In: Physical Review B, Vol. 97, No. 20, 205108, 09.05.2018.

Research output: Contribution to journalArticle

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