Bond order from disorder in the planar pyrochlore magnet
O. Tchernyshyov, O. A. Starykh, R. Moessner, A. G. Abanov
TL;DR
This paper investigates how quantum fluctuations induce a valence-bond crystal order in a frustrated 2D antiferromagnet, revealing a symmetry-breaking phase driven by semiclassical spin dynamics.
Contribution
It demonstrates that quantum fluctuations in the checkerboard lattice induce a long-range valence-bond crystal order, providing a phenomenological description of bond-ordered phases.
Findings
Quantum fluctuations induce long-range order breaking lattice symmetry.
The ordered phase is characterized as a valence-bond crystal.
The study compares semiclassical results with the S=1/2 quantum case.
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.
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