Bond order from disorder in the planar pyrochlore magnet

O. Tchernyshyov, O. A. Starykh, R. Moessner, and A. G. Abanov
Phys. Rev. B 68, 144422 – Published 17 October 2003
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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.

  • Received 27 January 2003

DOI:https://doi.org/10.1103/PhysRevB.68.144422

©2003 American Physical Society

Authors & Affiliations

O. Tchernyshyov*

  • Department of Physics and Astronomy, The Johns Hopkins University, Baltimore, Maryland 21218, USA

O. A. Starykh

  • Department of Physics and Astronomy, Hofstra University, Hempstead, New York 11549, USA

R. Moessner

  • Laboratoire de Physique Théorique de l’Ecole Normale Supérieure, CNRS-UMR8541 Paris, France

A. G. Abanov§

  • Department of Physics and Astronomy, Stony Brook University, Stony Brook, New York 11794-3800, USA

  • *Electronic address: olegt@jhu.edu
  • Electronic address: oleg.starykh@hofstra.edu
  • Electronic address: moessner@lpt.ens.fr
  • §Electronic address: alexandre.abanov@sunysb.edu

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Vol. 68, Iss. 14 — 1 October 2003

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