English

Bond order from disorder in the planar pyrochlore magnet

Strongly Correlated Electrons 2007-05-23 v4

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 four-fold 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.

Keywords

Cite

@article{arxiv.cond-mat/0301303,
  title  = {Bond order from disorder in the planar pyrochlore magnet},
  author = {O. Tchernyshyov and O. A. Starykh and R. Moessner and A. G. Abanov},
  journal= {arXiv preprint arXiv:cond-mat/0301303},
  year   = {2007}
}

Comments

Minor clarifications + reference to an informal introduction cond-mat/0308091