Definitive Evidence for Order-by-Quantum-Disorder in Er2Ti2O7

Lucile Savary; Kate A. Ross; Bruce D. Gaulin; Jacob P. C. Ruff; Leon Balents

doi:10.1103/PhysRevLett.109.167201

paper

Definitive Evidence for Order-by-Quantum-Disorder in Er2Ti2O7

arXiv:1204.1320 · doi:10.1103/PhysRevLett.109.167201

Abstract

Here we establish the systematic existence of a U(1) degeneracy of all symmetry-allowed Hamiltonians quadratic in the spins on the pyrochlore lattice, at the mean-field level. By extracting the Hamiltonian of Er2Ti2O7 from inelastic neutron scattering measurements, we then show that the U(1)-degenerate states of Er2Ti2O7 are its classical ground states, and unambiguously show that quantum fluctuations break the degeneracy in a way which is confirmed by experiment. This is the first definitive observation of order-by-disorder in any material. We provide further verifiable consequences of this phenomenon, and several additional comparisons between theory and experiment.

4.5 pages, 3 figures, 7.5 pages of Supplemental Material, 8 supplemental figures

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Magnetic excitations in the XY-pyrochlore antiferromagnet Er $_{2}$ Ti $_{2}$ O $_{7}$
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