Order from structural disorder in $XY$ pyrochlore antiferromagnet $\mathrm{E}{\mathrm{r}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$

Abstract

Effect of structural disorder is investigated for an $XY$ pyrochlore antiferromagnet with continuous degeneracy of classical ground states. Two types of disorder, vacancies and weakly fluctuating exchange bonds, lift degeneracy selecting the same subset of classical ground states. Analytic and numerical results demonstrate that such an "order by structural disorder" mechanism competes with the effect of thermal and quantum fluctuations. Our theory predicts that a small amount of nonmagnetic impurities in $\mathrm{E}{\mathrm{r}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$ will stabilize the coplanar ${\psi }_3$ ($m_{x^2-y^2}$) magnetic structure as opposed to the ${\psi }_2$ ($m_{3z^2-r^2}$) state found in pure material.

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Cited by in corpus (10)

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• Order-by-disorder near criticality in $XY$ pyrochlore magnets
• Real-space perturbation theory for frustrated magnets: application to magnetization plateaus
• Order Induced by Dilution in Pyrochlore XY Antiferromagnets
• Magnetic dilution and domain selection in the XY pyrochlore antiferromagnet Er${}_2$Ti${}_2$O${}_7$
• Collective impurity effects in the Heisenberg triangular antiferromagnet
• Doping-induced quantum cross-over in Er${}_2$Ti${}_{2-x}$Sn${}_x$O${}_7$
• Absence of long-range order in an $XY$ pyrochlore antiferromagnet Er${}_2$AlSbO${}_7$
• Quantum Spin Liquids Stabilized by Disorder in Non-Kramers Pyrochlores
• Finite-Size Spectral Signatures of Order by Quantum Disorder: A Perspective from Anderson's Tower of States