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Quantum Monte Carlo Simulations of Quantum Spin Ice

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Spin Ice

Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 197))

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Abstract

One of the strongest reasons for studying “quantum spin–ice” materials is the possibility that quantum tunnelling between different ice states could convert the classical magnetostatics of spin ice into a lattice analogue of quantum electrodynamics, with both magnetic and electric charges, and emergent “photon” excitations. In this Chapter we review what Quantum Monte Carlo simulations have taught us about this exotic quantum spin liquid state, and how this might help us to understand real materials.

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Authors and Affiliations

  1. Theory of Quantum Matter Unit, Okinawa Institute of Science and Technology Graduate University, Okinawa, Japan

    Nic Shannon

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  1. Department of Physics, Gakushuin University, Tokyo, Japan

    Masafumi Udagawa

  2. Laboratoire Ondes et Matière d’Aquitaine, Université de Bordeaux, CNRS, Bordeaux, France

    Ludovic Jaubert

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Two very recent publications are worth remark in context of this Chapter. The first, by Huang et al., presents dynamical structure factors for a model quantum spin ice found from QMC simulations, showing the dynamics of topological excitations [96]. The second by Sibille et al., reports the possible observation of emergent electrodynamics in the quantum spin ice candidate, Pr\(_2\)Hf\(_2\)O\(_7\) [97].

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Shannon, N. (2021). Quantum Monte Carlo Simulations of Quantum Spin Ice. In: Udagawa, M., Jaubert, L. (eds) Spin Ice. Springer Series in Solid-State Sciences, vol 197. Springer, Cham. https://doi.org/10.1007/978-3-030-70860-3_10

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