2003/01/31 by O. Tchernyshyov, O. A. Starykh, R. Moessner +1
Physics and Astronomy · #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 · arxiv updated 2009/11/30
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.