Kagome model for a Z2 quantum spin liquid

Matthew S. Block, Jonathan D'Emidio, Ribhu K. Kaul

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


We present a study of a simple model antiferromagnet consisting of a sum of nearest-neighbor SO(N) singlet projectors on the kagome lattice. Our model shares some features with the popular S=1/2 kagome antiferromagnet but is specifically designed to be free of the sign problem of quantum Monte Carlo. In our numerical analysis, we find as a function of N a quadrupolar magnetic state and a wide range of a quantum spin liquid. A solvable large-N generalization suggests that the quantum spin liquid in our original model is a gapped Z2 topological phase. Supporting this assertion, a numerical study of the entanglement entropy in the sign free model shows a quantized topological contribution.

Original languageEnglish
Article number020402
JournalPhysical Review B
Issue number2
StatePublished - Jan 9 2020

Bibliographical note

Funding Information:
Acknowledgments. The computational work presented here was carried out using the XSEDE awards TG-DMR130040 and TG-DMR140061. Financial support was received through NSF DMR-1611161.

Publisher Copyright:
© 2020 American Physical Society.

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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