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Title: Dipolar Spin Ice Regime Proximate to an All-In-All-Out Néel Ground State in the Dipolar-Octupolar Pyrochlore Ce 2 Sn 2 O 7

Abstract

The dipolar-octupolar (DO) pyrochlores, R2M2O7 (R ¼ Ce; Sm; Nd), are key players in the search for realizable novel quantum spin liquid (QSL) states as a large parameter space within the DO pyrochlore phase diagram is theorized to host QSL states of both dipolar and octupolar nature. New single crystals and powders of Ce2Sn2O7, synthesized by hydrothermal techniques, present an opportunity for a new characterization of the exchange parameters in Ce2Sn2O7 using the near-neighbor XYZ model Hamiltonian associated with DO pyrochlores. Utilizing quantum numerical linked cluster expansion fits to heat capacity and magnetic susceptibility measurements, and classical Monte Carlo calculations to the diffuse neutron diffraction of the new hydrothermally grown Ce2Sn2O7 samples, we place Ce2Sn2O7’s ground state within the ordered dipolar all-in-all-out (AIAO) N´eel phase, with quantum Monte Carlo calculations showing a transition to long-range order at temperatures below those accessed experimentally. Indeed, our new neutron diffraction measurements on the hydrothermally grown Ce2Sn2O7 powders show a broad signal at low scattering wave vectors, reminiscent of a dipolar spin ice, in striking contrast from previous powder neutron diffraction on samples grown from solid-state synthesis, which found diffuse scattering at high scattering wave vectors associated with magnetic octupoles and suggested an octupolarmore » quantum spin ice state. We conclude that new hydrothermally grown Ce2Sn2O7 samples host a finite-temperature proximate dipolar spin ice phase, above the expected transition to AIAO Néel order.« less

Authors:
; ORCiD logo; ; ORCiD logo; ; ORCiD logo; ; ORCiD logo; ; ORCiD logo; ORCiD logo; ; ORCiD logo;
Publication Date:
Research Org.:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States); Oak Ridge Institute for Science and Education (ORISE), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE Office of Science (SC), Office of Workforce Development for Teachers & Scientists (WDTS); USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities (SUF); USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division (MSE)
OSTI Identifier:
2281437
Alternate Identifier(s):
OSTI ID: 2305796
Grant/Contract Number:  
SC0014664; SC0020071; AC05-00OR22725
Resource Type:
Published Article
Journal Name:
Physical Review. X
Additional Journal Information:
Journal Name: Physical Review. X Journal Volume: 14 Journal Issue: 1; Journal ID: ISSN 2160-3308
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; frustrated magnetism; magnetic interactions; phase diagrams; spin ice; pyrochlores; exact diagonalization; Monte Carlo methods; neutron diffraction; specific heat measurements

Citation Formats

Yahne, D. R., Placke, B., Schäfer, R., Benton, O., Moessner, R., Powell, M., Kolis, J. W., Pasco, C. M., May, A. F., Frontzek, M. D., Smith, E. M., Gaulin, B. D., Calder, S., and Ross, K. A. Dipolar Spin Ice Regime Proximate to an All-In-All-Out Néel Ground State in the Dipolar-Octupolar Pyrochlore Ce 2 Sn 2 O 7. United States: N. p., 2024. Web. doi:10.1103/PhysRevX.14.011005.
Yahne, D. R., Placke, B., Schäfer, R., Benton, O., Moessner, R., Powell, M., Kolis, J. W., Pasco, C. M., May, A. F., Frontzek, M. D., Smith, E. M., Gaulin, B. D., Calder, S., & Ross, K. A. Dipolar Spin Ice Regime Proximate to an All-In-All-Out Néel Ground State in the Dipolar-Octupolar Pyrochlore Ce 2 Sn 2 O 7. United States. https://doi.org/10.1103/PhysRevX.14.011005
Yahne, D. R., Placke, B., Schäfer, R., Benton, O., Moessner, R., Powell, M., Kolis, J. W., Pasco, C. M., May, A. F., Frontzek, M. D., Smith, E. M., Gaulin, B. D., Calder, S., and Ross, K. A. Tue . "Dipolar Spin Ice Regime Proximate to an All-In-All-Out Néel Ground State in the Dipolar-Octupolar Pyrochlore Ce 2 Sn 2 O 7". United States. https://doi.org/10.1103/PhysRevX.14.011005.
@article{osti_2281437,
title = {Dipolar Spin Ice Regime Proximate to an All-In-All-Out Néel Ground State in the Dipolar-Octupolar Pyrochlore Ce 2 Sn 2 O 7},
author = {Yahne, D. R. and Placke, B. and Schäfer, R. and Benton, O. and Moessner, R. and Powell, M. and Kolis, J. W. and Pasco, C. M. and May, A. F. and Frontzek, M. D. and Smith, E. M. and Gaulin, B. D. and Calder, S. and Ross, K. A.},
abstractNote = {The dipolar-octupolar (DO) pyrochlores, R2M2O7 (R ¼ Ce; Sm; Nd), are key players in the search for realizable novel quantum spin liquid (QSL) states as a large parameter space within the DO pyrochlore phase diagram is theorized to host QSL states of both dipolar and octupolar nature. New single crystals and powders of Ce2Sn2O7, synthesized by hydrothermal techniques, present an opportunity for a new characterization of the exchange parameters in Ce2Sn2O7 using the near-neighbor XYZ model Hamiltonian associated with DO pyrochlores. Utilizing quantum numerical linked cluster expansion fits to heat capacity and magnetic susceptibility measurements, and classical Monte Carlo calculations to the diffuse neutron diffraction of the new hydrothermally grown Ce2Sn2O7 samples, we place Ce2Sn2O7’s ground state within the ordered dipolar all-in-all-out (AIAO) N´eel phase, with quantum Monte Carlo calculations showing a transition to long-range order at temperatures below those accessed experimentally. Indeed, our new neutron diffraction measurements on the hydrothermally grown Ce2Sn2O7 powders show a broad signal at low scattering wave vectors, reminiscent of a dipolar spin ice, in striking contrast from previous powder neutron diffraction on samples grown from solid-state synthesis, which found diffuse scattering at high scattering wave vectors associated with magnetic octupoles and suggested an octupolar quantum spin ice state. We conclude that new hydrothermally grown Ce2Sn2O7 samples host a finite-temperature proximate dipolar spin ice phase, above the expected transition to AIAO Néel order.},
doi = {10.1103/PhysRevX.14.011005},
journal = {Physical Review. X},
number = 1,
volume = 14,
place = {United States},
year = {Tue Jan 16 00:00:00 EST 2024},
month = {Tue Jan 16 00:00:00 EST 2024}
}

Works referenced in this record:

Preparation and Properties of the Ln 2 Ti 2 O 7 -Type Rare Earth Titanate
journal, July 1964


Going beyond the dipole approximation to improve the refinement of magnetic structures by neutron diffraction
journal, April 2009


Extended Coulomb liquid of paired hardcore boson model on a pyrochlore lattice
journal, October 2020


Pyrochlore S = 1 2 Heisenberg antiferromagnet at finite temperature
journal, August 2020


Recent advances in magnetic structure determination by neutron powder diffraction
journal, October 1993


Phase Competition in the Palmer-Chalker X Y Pyrochlore Er 2 Pt 2 O 7
journal, October 2017


Long-Range Order in the Dipolar X Y Antiferromagnet Er 2 Sn 2 O 7
journal, October 2017


Multiphase magnetism in Yb 2 Ti 2 O 7
journal, October 2020

  • Scheie, Allen; Kindervater, Jonas; Zhang, Shu
  • Proceedings of the National Academy of Sciences, Vol. 117, Issue 44
  • DOI: 10.1073/pnas.2008791117

Pyrochlore U(1) spin liquid of mixed-symmetry enrichments in magnetic fields
journal, March 2020


Spin Correlations in Ho 2 Ti 2 O 7 : A Dipolar Spin Ice System
journal, July 2001


A quantum liquid of magnetic octupoles on the pyrochlore lattice
journal, March 2020


Hastatic order in URu 2 Si 2 : Hybridization with a twist
journal, May 2015


A short introduction to numerical linked-cluster expansions
journal, March 2013

  • Tang, Baoming; Khatami, Ehsan; Rigol, Marcos
  • Computer Physics Communications, Vol. 184, Issue 3
  • DOI: 10.1016/j.cpc.2012.10.008

Long-Range Order at Low Temperatures in Dipolar Spin Ice
journal, July 2001


The pyrochlore Ho2Ti2O7: Synthesis, crystal growth, and stoichiometry
journal, October 2018


Quantum Spin Ice Dynamics in the Dipole-Octupole Pyrochlore Magnet Ce 2 Zr 2 O 7
journal, May 2019


Multipole Orders and Fluctuations in Strongly Correlated Electron Systems
journal, July 2009

  • Kuramoto, Yoshio; Kusunose, Hiroaki; Kiss, Annamária
  • Journal of the Physical Society of Japan, Vol. 78, Issue 7
  • DOI: 10.1143/JPSJ.78.072001

Unconventional magnetic ground state in Yb 2 Ti 2 O 7
journal, October 2013


Symmetry enriched U(1) topological orders for dipole-octupole doublets on a pyrochlore lattice
journal, January 2017


Group theory and octupolar order in U Ru 2 Si 2
journal, February 2005


Universal dynamic magnetism in Yb pyrochlores with disparate ground states
journal, March 2016


Stochastic series expansion method with operator-loop update
journal, June 1999


Case for a U(1)π Quantum Spin Liquid Ground State in the Dipole-Octupole Pyrochlore Ce2Zr2O7
journal, April 2022


Anisotropic exchange Hamiltonian, magnetic phase diagram, and domain inversion of Nd 2 Zr 2 O 7
journal, April 2019


Revisiting static and dynamic spin-ice correlations in Ho 2 Ti 2 O 7 with neutron scattering
journal, January 2009


Distinguishing dipolar and octupolar quantum spin ices using contrasting magnetostriction signatures
journal, June 2020


Ground-state phase diagram of dipolar-octupolar pyrochlores
journal, September 2020


Oxygen exchange properties in the new pyrochlore solid solution Ce2Sn2O7-Ce2Sn2O8
journal, March 1999

  • Tolia, Bruno; Demourgues, Alain; Pouchard, Michel
  • Comptes Rendus de l'Académie des Sciences - Series IIC - Chemistry, Vol. 2, Issue 3
  • DOI: 10.1016/S1387-1609(99)80056-5

Sleuthing out exotic quantum spin liquidity in the pyrochlore magnet Ce2Zr2O7
journal, May 2022


A suite-level review of the neutron powder diffraction instruments at Oak Ridge National Laboratory
journal, September 2018

  • Calder, S.; An, K.; Boehler, R.
  • Review of Scientific Instruments, Vol. 89, Issue 9
  • DOI: 10.1063/1.5033906

Superdislocations and point defects in pyrochlore Yb2Ti2O7 single crystals and implication on magnetic ground states
journal, November 2018


Numerical Evidence of Quantum Melting of Spin Ice: Quantum-to-Classical Crossover
journal, August 2015


Matrix Product Density Operators: Simulation of Finite-Temperature and Dissipative Systems
journal, November 2004


Quantum Spin Ices and Topological Phases from Dipolar-Octupolar Doublets on the Pyrochlore Lattice
journal, April 2014


Atomic structure study of the pyrochlore Y b 2 T i 2 O 7 and its relationship with low-temperature magnetic order
journal, March 2017


Competing U (1) and Z2 dipolar-octupolar quantum spin liquids on the pyrochlore lattice: Application to Ce2Zr2O7
journal, January 2022


PDFfit2 and PDFgui: computer programs for studying nanostructure in crystals
journal, July 2007


Impact of stoichiometry of Yb 2 Ti 2 O 7 on its physical properties
journal, March 2017


Experimental signatures of a three-dimensional quantum spin liquid in effective spin-1/2 Ce2Zr2O7 pyrochlore
journal, July 2019


Lightly stuffed pyrochlore structure of single-crystalline Yb 2 Ti 2 O 7 grown by the optical floating zone technique
journal, November 2012


Hydrothermal Crystal Growth of Rare Earth Tin Cubic Pyrochlores, RE 2 Sn 2 O 7 (RE = La–Lu): Site Ordered, Low Defect Single Crystals
journal, July 2019

  • Powell, Matthew; Sanjeewa, Liurukara D.; McMillen, Colin D.
  • Crystal Growth & Design, Vol. 19, Issue 9
  • DOI: 10.1021/acs.cgd.8b01889

Candidate Quantum Spin Liquid in the Ce 3 + Pyrochlore Stannate Ce 2 Sn 2 O 7
journal, August 2015


Multipolar interactions in f -electron systems: The paradigm of actinide dioxides
journal, June 2009

  • Santini, Paolo; Carretta, Stefano; Amoretti, Giuseppe
  • Reviews of Modern Physics, Vol. 81, Issue 2
  • DOI: 10.1103/RevModPhys.81.807

Are Multiphase Competition and Order by Disorder the Keys to Understanding Yb 2 Ti 2 O 7 ?
journal, December 2015


Magnetic multipoles and correlation shortage in the pyrochlore cerium stannateCe2Sn2O7
journal, April 2020


Magnetism of the N = 42 kagome lattice antiferromagnet
journal, September 2018


Frustrated Quantum Rare-Earth Pyrochlores
journal, March 2019


Finite-temperature density matrix renormalization using an enlarged Hilbert space
journal, December 2005


Single-crystal versus polycrystalline samples of magnetically frustrated Yb 2 Ti 2 O 7 : Specific heat results
journal, November 2011