• Rapid Communication

Cyclic exchange, isolated states, and spinon deconfinement in an XXZ Heisenberg model on the checkerboard lattice

Nic Shannon, Grégoire Misguich, and Karlo Penc
Phys. Rev. B 69, 220403(R) – Published 10 June 2004

Abstract

The antiferromagnetic Ising model on a checkerboard lattice has an ice-like ground state manifold with extensive degeneracy. and, to leading order in Jxy, deconfined spinon excitations. We explore the role of cyclic exchange arising at order Jxy2Jz on the ice states and their associated spinon excitations. By mapping the original problem onto an equivalent quantum six-vertex model, we identify three different phases as a function of the chemical potential for flippable plaquettes—a phase with long range Néel order and confined spinon excitations, a nonmagnetic state of resonating square plaquettes, and a quasicollinear phase with gapped but deconfined spinon excitations. The relevance of the results to the square-lattice quantum dimer model is also discussed.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Received 25 March 2004

DOI:https://doi.org/10.1103/PhysRevB.69.220403

©2004 American Physical Society

Authors & Affiliations

Nic Shannon1,2, Grégoire Misguich3, and Karlo Penc4

  • 1Department of Advanced Materials Science, Graduate School of Frontier Sciences, University of Tokyo, 5-1-5, Kashiwahnoha, Kashiwa, Chiba 277-8851, Japan
  • 2CREST, Japan Science and Technology Agency, Kawaguchi 332-0012, Japan
  • 3Service de Physique Théorique, CEA-Saclay, 91191 Gif-sur-Yvette Cédex, France
  • 4Research Institute for Theoretical Solid State Physics and Optics, H-1525 Budapest, P.O.B. 49, Hungary

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 69, Iss. 22 — 1 June 2004

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review B

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×