The Magnetic Structure of $Er_{2}Ti_{2}O_{7}$
A. K. R. Briffa, R. J. Mason, M. W. Long

TL;DR
This paper analyzes neutron scattering data to propose that Er₂Ti₂O₇ exhibits a complex magnetic order with broken symmetry and unusual low-energy excitations, challenging conventional Goldstone mode interpretations.
Contribution
It introduces a novel interpretation of the magnetic structure and excitations in Er₂Ti₂O₇ based on neutron scattering experiments and symmetry analysis.
Findings
Er₂Ti₂O₇ has a broken-symmetry multiple-q magnetic state.
Ordered moments deviate from crystal-field predictions.
Low-energy mode is longitudinal, not transverse as usual.
Abstract
We employ the previously published neutron scattering experiments\cite{1,2,3} to suggest that ErTiO has a broken-symmetry multiple-{\bf q} state with tetragonal magnetic symmetry\cite{4}. The ordered moments do not appear to lie close to the crystal-field anticipated directions\cite{5} and we suggest that the low energy gapless mode, visible in specific-heat measurements\cite{6}, is not of the usual transverse isotropic Goldstone-mode type, but is longitudinal and is associated with the internal transfer of magnetism between distinct magnetic Bragg spots.
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