• Open Access

Case for a U(1)π Quantum Spin Liquid Ground State in the Dipole-Octupole Pyrochlore Ce2Zr2O7

E. M. Smith, O. Benton, D. R. Yahne, B. Placke, R. Schäfer, J. Gaudet, J. Dudemaine, A. Fitterman, J. Beare, A. R. Wildes, S. Bhattacharya, T. DeLazzer, C. R. C. Buhariwalla, N. P. Butch, R. Movshovich, J. D. Garrett, C. A. Marjerrison, J. P. Clancy, E. Kermarrec, G. M. Luke, A. D. Bianchi, K. A. Ross, and B. D. Gaulin
Phys. Rev. X 12, 021015 – Published 20 April 2022

Abstract

The Ce3+ pseudospin-1/2 degrees of freedom in the pyrochlore magnet Ce2Zr2O7 are known to possess dipole-octupole character, making it a candidate for novel quantum spin liquid ground states at low temperatures. We report new polarized neutron diffraction at low temperatures, as well as heat capacity (Cp) measurements on single crystal Ce2Zr2O7. The former bears both similarities and differences with that measured from the canonical dipolar spin ice compound Ho2Ti2O7, while the latter rises sharply at low temperatures, initially plateauing near 0.08 K, before falling off toward a high temperature zero beyond 3 K. Above0.5K, the Cp dataset can be fit to the results of a quantum numerical linked cluster calculation, carried out to fourth order, that allows estimates for the terms in the near-neighbor XYZ Hamiltonian expected for such dipole-octupole pyrochlore systems. Fits of the same theory to the temperature dependence of the magnetic susceptibility and unpolarized neutron scattering complement this analysis. A comparison between the resulting best-fit numerical linked cluster calculation and the polarized neutron diffraction shows both agreement and discrepancies, mostly in the form of zone-boundary diffuse scattering in the non-spin-flip channel, which are attributed to interactions beyond near neighbors. The lack of an observed thermodynamic anomaly and the constraints on the near-neighbor XYZ Hamiltonian suggest that Ce2Zr2O7 realizes a U(1)π quantum spin liquid state at low temperatures, and one that likely resides near the boundary between dipolar and octupolar character.

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  • Received 4 August 2021
  • Revised 8 December 2021
  • Accepted 18 February 2022

DOI:https://doi.org/10.1103/PhysRevX.12.021015

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

E. M. Smith1,2,*, O. Benton3, D. R. Yahne4, B. Placke3, R. Schäfer3, J. Gaudet1, J. Dudemaine5,6, A. Fitterman5,6, J. Beare1, A. R. Wildes7, S. Bhattacharya8, T. DeLazzer4, C. R. C. Buhariwalla1, N. P. Butch9, R. Movshovich10, J. D. Garrett2, C. A. Marjerrison2, J. P. Clancy1,2, E. Kermarrec8, G. M. Luke1,2, A. D. Bianchi5,6, K. A. Ross4,11, and B. D. Gaulin1,2,11

  • 1Department of Physics and Astronomy, McMaster University, Hamilton, Ontario L8S 4M1, Canada
  • 2Brockhouse Institute for Materials Research, McMaster University, Hamilton, Ontario L8S 4M1, Canada
  • 3Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Straße 38, Dresden 01187, Germany
  • 4Department of Physics, Colorado State University, 200 West Lake Street, Fort Collins, Colorado 80523-1875, USA
  • 5Département de Physique, Université de Montréal, Montréal, Quebec H2V 0B3, Canada
  • 6Regroupement Québécois sur les Matériaux de Pointe (RQMP), Quebec H3T 3J7, Canada
  • 7Institut Laue-Langevin, 71 Avenue des Martyrs CS 20156, 38042 Grenoble Cedex 9, France
  • 8Université Paris-Saclay, CNRS, Laboratoire de Physique des Solides, 91405 Orsay, France
  • 9Center for Neutron Research, National Institute of Standards and Technology, MS 6100 Gaithersburg, Maryland 20899, USA
  • 10Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
  • 11Canadian Institute for Advanced Research, 661 University Avenue, Toronto, Ontario M5G 1M1, Canada

  • *smithem4@mcmaster.ca

Popular Summary

In a quantum spin liquid, individual atomic magnetic moments, or spins, remain disordered even at absolute zero temperature while fluctuating in a quantum entangled manner. This phase of matter is of great interest, as it possesses novel excited states with which we have little familiarity. Here, we lay out the detailed case for a novel quantum spin liquid phase at low temperature in Ce2Zr2O7, a quantum spin liquid candidate that has gained much attention recently.

Our evidence for this rare quantum spin liquid phase comes from experimental estimates for “interaction parameters,” which provide information on how the Ce3+ spins interact with one another. We determine experimental values for these parameters by fitting specific heat, magnetic susceptibility, and neutron-scattering data, and we use the resulting parameters to predict the magnetic ground state for Ce2Zr2O7 in accordance with recent theory.

The measured interaction parameters indicate a quantum spin liquid ground state near the boundary of “dipolar” and “octupolar” behavior. This suggests that Ce2Zr2O7 possesses a quantum spin liquid phase that involves fluctuating quantum-entangled magnetic dipoles and octupoles. This is important because typical quantum spin liquids involve only dipoles.

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Vol. 12, Iss. 2 — April - June 2022

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