Bond order from disorder in the planar pyrochlore magnet

2003/01/31 by Oleg Tchernyshyov, O. Tchernyshyov, Oleg A. Starykh +5 · 9 citations
Materials Science · Physics and Astronomy · #Advanced Condensed Matter Physics #Magnetic and transport properties of perovskites and related materials #Physics of Superconductivity and Magnetism #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.68.144422

published as Phys. Rev. B 68, 144422 (2003) · Minor clarifications + reference to an informal introduction cond-mat/0308091

arxiv created 2003/08/19 · openalex publication_date 2003/10/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study magnetic order in the Heisenberg antiferromagnet on the checkerboard lattice, a two-dimensional version of the pyrochlore network with strong geometric frustration. By employing the semiclassical (1/S) expansion we find that quantum fluctuations of spins induce a long-range order that breaks the fourfold rotational symmetry of the lattice. The ordered phase is a valence-bond crystal. We discuss similarities and differences with the extreme quantum case S=1/2 and find a useful phenomenology to describe the bond-ordered phases.

Citations

• Order by Distortion and String Modes in Pyrochlore Antiferromagnets
• Spin-Peierls phases in pyrochlore antiferromagnets
• Ground States of Quantum Antiferromagnets in Two Dimensions

Cited by

• Quantum spin liquids: a large-Sroute
• Planar pyrochlore antiferromagnet: A large-Nanalysis
• Anisotropic pyrochlores and the global phase diagram of the checkerboard antiferromagnet
• Valence-bond crystal phase of the crossed-chain quantum spin model
• Unconventional superconducting symmetry in a checkerboard antiferromagnet studied via renormalized mean-field theory
• Orbital and Spin Chains inZnV2O4
• Order by Disorder and Gaugelike Degeneracy in a Quantum Pyrochlore Antiferromagnet
• Discrete sliding symmetries, dualities, and self-dualities of quantum orbital compass models andp+ipsuperconducting arrays
• SU(N) evolution of a frustrated spin ladder

Related

• Valence-bond crystal in a 111 slice of the pyrochlore antiferromagnet
• The planar pyrochlore: a Valence Bond Crystal
• Spin order on pyrochlore lattices studied by the Self-Consistent Cluster Approach
• Spin-Peierls phases in pyrochlore antiferromagnets
• Quantum spin liquids: a large-Sroute