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, R${}_2$M${}_2$O${}_7$ (R = 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 Ce${}_2$Sn${}_2$O${}_7$, synthesized by hydrothermal techniques, present an opportunity for a new characterization of the exchange parameters in Ce${}_2$Sn${}_2$O${}_7$ 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 Ce${}_2$Sn${}_2$O${}_7$ samples, we place Ce${}_2$Sn${}_2$O${}_7$'s ground state within the ordered dipolar all-in-all-out (AIAO) Néel 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 Ce${}_2$Sn${}_2$O${}_7$ powders show a broad signal at low scattering wave vectors, reminiscent of a \textit{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 {\it octupoles} and suggested an octupolar quantum spin ice state. We conclude that new hydrothermally grown Ce${}_2$Sn${}_2$O${}_7$ samples host a finite-temperature proximate dipolar spin ice phase, above the expected transition to AIAO Néel order.

arXiv comment16 pages, 12 figures

References in corpus (41)

• Matrix Product Density Operators: Simulation of finite-T and dissipative systems
• Stochastic series expansion method with operator-loop update
• Finite Temperature Density Matrix Renormalization using an enlarged Hilbert space
• Spin Correlations in Ho${}_2$Ti${}_2$O${}_7$: a Dipolar Spin Ice System
• Long Range Order at Low Temperature in Dipolar Spin Ice
• Frustrated quantum rare-earth pyrochlores
• Experimental signatures of a three-dimensional quantum spin liquid in effective spin-1/2 Ce2Zr2O7 pyrochlore
• Quantum spin ices and topological phases from dipolar-octupolar doublets on the pyrochlore lattice
• Lightly stuffed pyrochlore structure of single-crystalline Yb2Ti2O7 grown by the optical floating zone technique
• Quantum Spin Ice Dynamics in the Dipole-Octupole Pyrochlore Magnet Ce${}_2$Zr${}_2$O${}_7$
• Living on the edge : ground-state selection in quantum spin-ice pyrochlores
• Theory of multiple--phase competition in pyrochlore magnets with anisotropic exchange, with application to Yb2Ti2O7, Er2Ti2O7 and Er2Sn2O7
• A Short Introduction to Numerical Linked-Cluster Expansions
• Magnetism of the N=42 kagome lattice antiferromagnet
• Candidate Quantum Spin Liquid in the Ce\textsuperscript{3+} Pyrochlore Stannate Ce${}_2$Sn${}_2$O${}_7$
• A quantum liquid of magnetic octupoles on the pyrochlore lattice
• Group theory and octupolar order in URu2Si2
• Symmetry Enriched U(1) Topological Orders for Dipole-Octupole Doublets on a Pyrochlore Lattice
• Revisiting Static and Dynamic Spin Ice Correlations in Ho2Ti2O7
• Impact of Stoichiometry of Yb2Ti2O7 on its Physical Properties
• Are multiphase competition & order-by-disorder the keys to understanding Yb2Ti2O7?
• Numerical evidence of quantum melting of spin ice: quantum-classical crossover
• The case for a U(1)${}_{\pi }$ Quantum Spin Liquid Ground State in the Dipole-Octupole Pyrochlore Ce${}_2$Zr${}_2$O${}_7$
• Unconventional Magnetic Ground State in Yb${}_2$Ti${}_2$O${}_7$
• The pyrochlore S=1/2 Heisenberg antiferromagnet at finite temperature
• Sleuthing out exotic quantum spin liquidity in the pyrochlore magnet Ce${}_2$Zr${}_2$O${}_7$
• Multiphase Magnetism in Yb2Ti2O7
• Universal Dynamic Magnetism in Yb-Pyrochlores with Disparate Ground States
• Pyrochlore U(1) spin liquid of mixed symmetry enrichments in magnetic fields
• Ground state phase diagram of dipolar-octupolar pyrochlores
• RKKY oscillations in the spin relaxation rates of atomic scale nanomagnets
• Distinguishing dipolar and octupolar quantum spin ices using contrasting magnetostriction signatures
• Long range order in the dipolar XY antiferromagnet Er${}_2$Sn${}_2$O${}_7$
• Unravelling competing microscopic interactions at a phase boundary: a single crystal study of the metastable antiferromagnetic pyrochlore Yb${}_2$Ge${}_2$O${}_7$
• Hastatic Order in URu2Si2 : Hybridization with a Twist
• Competing $U(1)$ and ${\mathbb{Z}}_2$ dipolar-octupolar quantum spin liquids on the pyrochlore lattice: application to Ce${}_2$Zr${}_2$O${}_7$
• Phase Competition in the Palmer-Chalker XY Pyrochlore Er${}_2$Pt${}_2$O${}_7$
• Anisotropic exchange Hamiltonian, magnetic phase diagram and domain inversion of Nd${}_2$Zr${}_2$O${}_7$
• The pyrochlore Ho2Ti2O7: Synthesis, crystal growth and stoichiometry
• Extended Coulomb liquid of paired hardcore boson model on a pyrochlore lattice
• Magnetic multipoles and correlation shortage in pyrochlore cerium stannate

Cited by in corpus (14)

• Spectroscopic signatures of fractionalization in octupolar quantum spin ice
• Emergent photons and fractionalized excitations in a quantum spin liquid
• A pseudofermion functional renormalization group study of dipolar-octupolar pyrochlore magnets
• Finite Temperature Dynamics in 0-Flux and $\pi$-Flux Quantum Spin Ice: Self-Consistent Exclusive Boson Approach
• Exploiting polarization dependence in two dimensional coherent spectroscopy: examples of Ce${}_2$Zr${}_2$O${}_7$ and Nd${}_2$Zr${}_2$O${}_7$
• Dipolar-octupolar correlations and hierarchy of exchange interactions in Ce${}_2$Hf${}_2$O${}_7$
• Signatures of spinon dynamics and phase structure of dipolar-octupolar quantum spin ices in two-dimensional coherent spectroscopy
• Thermodynamics of the dipole-octupole pyrochlore magnet Ce${}_2$Hf${}_2$O${}_7$ in applied magnetic fields
• Two-Peak Heat Capacity Accounts for $R\ln (2)$ Entropy and Ground State Access in the Dipole-Octupole Pyrochlore Ce${}_2$Hf${}_2$O${}_7$
• Single Crystal Diffuse Neutron Scattering Study of the Dipole-Octupole Quantum Spin Ice Candidate Ce${}_2$Zr${}_2$O${}_7$: No Apparent Octupolar Correlations Above $T=0.05$ K
• Magnetic Field Response of Dipolar-Octupolar Quantum Spin Ice
• Inelastic neutron scattering on Ce pyrochlores: Signatures of electric monopoles
• Thermodynamics of the Heisenberg antiferromagnet on the maple-leaf lattice
• Towards a global phase diagram of Ce-based dipolar-octupolar pyrochlore magnets under magnetic fields