Bond order from disorder in the planar pyrochlore magnet

Details Bond order from disorder in the planar pyrochlore magnet Bond order from disorder in the planar pyrochlore magnet

2003-01-16

arxiv.org/abs/cond-mat/0301303v4

Phys. Rev. B 68, 144422 (2003)

Physics

Condensed Matter

Strongly Correlated Electrons

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

Scientific paper

10.1103/PhysRevB.68.144422

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.

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