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Order by virtual crystal field fluctuations in pyrochlore XY antiferromagnets

Order by virtual crystal field fluctuations in pyrochlore XY antiferromagnets

Conclusive evidence of order by disorder is scarce in real materials. Perhaps one of the strongest cases presented has been for the pyrochlore XY antiferromagnet ${\mathrm{Er}}_{2}{\mathrm{Ti}}_{2}{\mathrm{O}}_{7}$, with the ground state selection proceeding by order by disorder induced through the effects of quantum fluctuations. This identification assumes the smallness of the …