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American Physical Society, Physical Review B (Condensed Matter), 14(68), 2003

DOI: 10.1103/physrevb.68.144422

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Bond order from disorder in the planar pyrochlore magnet

Journal article published in 2003 by O. Tchernyshyov ORCID, Starykh Oa, O. A. Starykh, R. Moessner, A. G. Abanov, Abanov Ag
This paper is available in a repository.
This paper is available in a repository.

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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 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. ; Comment: Minor clarifications + reference to an informal introduction cond-mat/0308091