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Husimi-cactus approximation study on the diluted spin ice

Hiromi Otsuka1, Yutaka Okabe1, and Konstantin Nefedev2,3

  • 1Department of Physics, Tokyo Metropolitan University, Tokyo 192-0397, Japan
  • 2School of Natural Sciences, Far Eastern Federal University, Vladivostok 690091, Russian Federation
  • 3Institute of Applied Mathematics, Far Eastern Branch, Russian Academy of Science, Vladivostok 690041, Russian Federation

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Phys. Rev. E 97, 042132 – Published 27 April, 2018

DOI: https://doi.org/10.1103/PhysRevE.97.042132

Abstract

We investigate dilution effects on the classical spin-ice materials such as Ho2Ti2O7 and Dy2Ti2O7. In particular, we derive a formula of the thermodynamic quantities as functions of the temperature and a nonmagnetic ion concentration based on a Husimi-cactus approximation. We find that the formula predicts a dilution-induced crossover from the cooperative to the conventional paramagnets in a ground state, and that it also reproduces the “generalized Pauling's entropy” given by Ke et al. To verify the formula from a numerical viewpoint, we compare these results with Monte Carlo simulation calculation data, and then find good agreement for all parameter values.

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Phys. Rev. E 97, 042132– Published 27 April, 2018
  • Received 14 February 2018
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