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Phys Rev Lett. 2018 Mar 30;120(13):137201. doi: 10.1103/PhysRevLett.120.137201.

Dipolar Spin Ice States with a Fast Monopole Hopping Rate in CdEr_{2}X_{4} (X=Se, S).

Physical review letters

Shang Gao, O Zaharko, V Tsurkan, L Prodan, E Riordan, J Lago, B Fåk, A R Wildes, M M Koza, C Ritter, P Fouquet, L Keller, E Canévet, M Medarde, J Blomgren, C Johansson, S R Giblin, S Vrtnik, J Luzar, A Loidl, Ch Rüegg, T Fennell

Affiliations

  1. Laboratory for Neutron Scattering and Imaging, Paul Scherrer Institut, CH-5232 Villigen PSI, Switzerland.
  2. Department of Quantum Matter Physics, University of Geneva, CH-1211 Geneva, Switzerland.
  3. Experimental Physics V, University of Augsburg, D-86135 Augsburg, Germany.
  4. Institute of Applied Physics, Academy of Sciences of Moldova, MD-2028 Chisinau, Republic of Moldova.
  5. School of Physics and Astronomy, Cardiff University, CF24 3AA Cardiff, United Kingdom.
  6. Department of Inorganic Chemistry, Universidad del País Vasco (UPV-EHU), 48080 Bilbao, Spain.
  7. Institut Laue-Langevin, CS 20156, 38042 Grenoble Cedex 9, France.
  8. Department of Physics, Technical University of Denmark, DK-2800 Kgs. Lyngby, Denmark.
  9. Laboratory for Scientific Developments and Novel Materials, Paul Scherrer Institut, CH-5232 Villigen PSI, Switzerland.
  10. RISE Acreo AB, SE-411 33 Göteborg, Sweden.
  11. Jožef Stefan Institute, SI-1000 Ljubljana, Slovenia.

PMID: 29694199 DOI: 10.1103/PhysRevLett.120.137201

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 those in Dy_{2}Ti_{2}O_{7}, i.e., dilute and uncorrelated, and 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.

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