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Disordered Route to the Coulomb Quantum Spin Liquid: Random Transverse Fields on Spin Ice in Pr2Zr2O7

J.-J. Wen, S. M. Koohpayeh, K. A. Ross, B. A. Trump, T. M. McQueen, K. Kimura, S. Nakatsuji, Y. Qiu, D. M. Pajerowski, J. R. D. Copley, and C. L. Broholm
Phys. Rev. Lett. 118, 107206 – Published 8 March 2017
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Abstract

Inelastic neutron scattering reveals a broad continuum of excitations in Pr2Zr2O7, the temperature and magnetic field dependence of which indicate a continuous distribution of quenched transverse fields (Δ) acting on the non-Kramers Pr3+ crystal field ground state doublets. Spin-ice correlations are apparent within 0.2 meV of the Zeeman energy. A random phase approximation provides an excellent account of the data with a transverse field distribution ρ(Δ)(Δ2+Γ2)1, where Γ=0.27(1)meV. Established during high temperature synthesis due to an underlying structural instability, it appears disorder in Pr2Zr2O7 actually induces a quantum spin liquid.

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  • Received 27 September 2016

DOI:https://doi.org/10.1103/PhysRevLett.118.107206

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

J.-J. Wen1,2,3, S. M. Koohpayeh1, K. A. Ross1,4, B. A. Trump5, T. M. McQueen1,5,6, K. Kimura7,8, S. Nakatsuji7,9, Y. Qiu4, D. M. Pajerowski4, J. R. D. Copley4, and C. L. Broholm1,4,6

  • 1Institute for Quantum Matter and Department of Physics and Astronomy, The Johns Hopkins University, Baltimore, Maryland 21218, USA
  • 2Department of Applied Physics, Stanford University, Stanford, California 94305, USA
  • 3Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, USA
  • 4NIST Center for Neutron Research, National Institute of Standards and Technology, Gaithersburg, Maryland 20899, USA
  • 5Department of Chemistry, The Johns Hopkins University, Baltimore, Maryland 21218, USA
  • 6Department of Materials Science and Engineering, The Johns Hopkins University, Baltimore, Maryland 21218, USA
  • 7Institute for Solid State Physics (ISSP), University of Tokyo, Kashiwa, Chiba 277-8581, Japan
  • 8Division of Materials Physics, Graduate School of Engineering Science, Osaka University, Toyonaka, Osaka 560-8531, Japan
  • 9CREST, Japan Science and Technology Agency, Kawaguchi, Saitama 332-0012, Japan

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Issue

Vol. 118, Iss. 10 — 10 March 2017

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Images

  • Figure 1
    Figure 1

    q-averaged spectra for 0.5Å1|q|2.2Å1 in the corresponding scattering planes. (a) Spectra for B[001], T=1.4K and B[11¯0], T=0.2K. |B|=2T. Inset shows the relative orientations of the applied fields and the spins. (b) Field dependent spectra for B[001] at T=1.4K. Inset shows the transverse field distribution ρ(Δ), and the solid line shows the half Lorentzian fit. Dashed vertical lines show the corresponding energies above which data were used to extract ρ(Δ), and the solid line shows the elastic scattering contribution at 0 T. (c) T-dependent spectra for B[001], 4 T. The data were divided by F(T,ω) of Eq. (1). Error bars represent one standard deviation. The energy resolution at the elastic line is 0.11 meV.

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  • Figure 2
    Figure 2

    Field dependent qω slices for B[001], T=1.4K. Data were integrated along (0K0) for 1 (r.l.u.) K3 (r.l.u.).

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  • Figure 3
    Figure 3

    q maps in (HHL) plane. Data were folded into the first quadrant for optimal statistics. (a) and (c) show measurements with Ei=1.7meV at 0.05 K, 0 T with energy integration of [0.3, 0.8] meV and [0.1, 0.3] meV, respectively. (e) shows data with Ei=3.3meV at 0.2 K, B=3.5T[11¯0] with energy integration of [0.1, 0.5] meV. The energy resolutions at the elastic line are 0.04 meV (Ei=1.7meV) and 0.11 meV (Ei=3.3meV), respectively. (b), (d), and (f) show corresponding RPA calculations.

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  • Figure 4
    Figure 4

    Elastic longitudinal cuts for the (200) forbidden nuclear peak. Solid lines are fits to the data. Shaded area shows the broad field induced elastic magnetic scattering. Inset shows corresponding cuts through the (220) nuclear peak.

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