1. Dipolar spin ice states with fast monopole hopping rate in CdEr$_2$X$_4$ (X = Se, S)
- Author
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Gao, Shang, Zaharko, Oksana, Tsurkan, Vladimir, Prodan, Lilian, Riordan, Edward, Lago, Jorge, Fåk, Björn, Wildes, Andrew, Koza, Marek M., Ritter, Clemens, Fouquet, Peter, Keller, Lukas, Canévet, Emmanuel, Medarde, Marisa, Blomgren, Jakob, Johansson, Christer, Giblin, Sean R., Vrtnik, Stanislav, Luzar, Jože, Loidl, Alois, Rüegg, Christian, and Fennell, Tom
- Subjects
Condensed Matter - Strongly Correlated Electrons - Abstract
Excitations in a spin ice behave as magnetic monopoles, and their population and mobility control the dynamics of a spin ice at low temperature. CdEr$_2$Se$_4$ is reported to have the Pauling entropy characteristic of a spin ice, but its dynamics are three-orders of magnitude faster than the canonical spin ice Dy$_2$Ti$_2$O$_7$. In this letter we use diffuse neutron scattering to show that both CdEr$_2$Se$_4$ and CdEr$_2$S$_4$ support a dipolar spin ice state -- the host phase for a Coulomb gas of emergent magnetic monopoles. These Coulomb gases have similar parameters to that in Dy$_2$Ti$_2$O$_7$, i.e. dilute and uncorrelated, so cannot provide three-orders faster dynamics through a larger monopole population alone. We investigate the monopole dynamics using ac susceptometry and neutron spin echo spectroscopy, and verify the crystal electric field Hamiltonian of the Er$^{3+}$ ions using inelastic neutron scattering. A quantitative calculation of the monopole hopping rate using our Coulomb gas and crystal electric field parameters shows that the fast dynamics in CdEr$_2$X$_4$ (X = Se, S) are primarily due to much faster monopole hopping. Our work suggests that CdEr$_2$X$_4$ offer the possibility to study alternative spin ice ground states and dynamics, with equilibration possible at much lower temperatures than the rare earth pyrochlore examples., Comment: 11 pages, 9 figures, accepted for publication in Physical Review Letters
- Published
- 2017
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