Bond order from disorder in the planar pyrochlore magnet

O. Tchernyshyov; A. Starykh; R. Moessner; G. Abanov

doi:10.1103/PhysRevB.68.144422

Bond order from disorder in the planar pyrochlore magnet

O. Tchernyshyov
, A. Starykh
, R. Moessner
, G. Abanov

Physics and Astronomy

Johns Hopkins University
Hofstra University
CNRS

Research output: Contribution to journal › Article › peer-review

59 Scopus citations

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.

Original language	English
Journal	Physical Review B - Condensed Matter and Materials Physics
Volume	68
Issue number	14
DOIs	https://doi.org/10.1103/PhysRevB.68.144422
State	Published - 2003

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10.1103/PhysRevB.68.144422

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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.",

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AU - Starykh, A.

AU - Moessner, R.

AU - Abanov, G.

PY - 2003

Y1 - 2003

N2 - 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.

AB - 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.

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DO - 10.1103/PhysRevB.68.144422

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VL - 68

JO - Physical Review B - Condensed Matter and Materials Physics

JF - Physical Review B - Condensed Matter and Materials Physics

IS - 14

ER -

Bond order from disorder in the planar pyrochlore magnet

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