Quantum Spin Liquids in Pyrochlore Magnets With Non-Kramers Local Moments

Abstract

Numerous experiments on pyrochlore oxides Pr${}_2$(Zr, Sn, Hf, Ir)${}_2$O${}_7$ with non-Kramers Pr${}^{3+}$ ions suggest that they support a quantum spin liquid (QSL) ground state, but the precise nature of the QSL remains unclear. Quantum spin ice with dominant dipolar Ising and smaller quadrupolar transverse exchange interactions is one such candidate, but a dominant inelastic neutron scattering signal suggests that such a picture may not be consistent with experimental results. The microscopic exchange couplings of these compounds are also not known, leaving room for many possible QSL states. In this work, we use Schwinger boson mean-field theory supplemented by a projective symmetry group classification to study possible ${\mathbb{Z}}_2$ QSLs in pyrochlore magnets with dipolar-quadrupolar non-Kramers local moments. We build a mean-field phase diagram and find four QSLs in the frustrated region of parameter space that are consistent with inelastic signals observed in neutron scattering data on Pr${}_2$Zr${}_2$O${}_7$ and Pr${}_2$Hf${}_2$O${}_7$. Among these, two robust QSLs occur in the regime with dominant transverse exchange rather than Ising exchange. We then compute the static and dynamic spin structure factors for these QSL candidates, which can be used to distinguish them in neutron scattering experiments.

10+9 pages, 6 figures

References in corpus (16)

• Probing Topological Spin Liquids on a Programmable Quantum Simulator
• Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
• Spin Liquid States on the Triangular and Kagome Lattices: A Projective Symmetry Group Analysis of Schwinger Boson States
• Prediction of Toric Code Topological Order from Rydberg Blockade
• Choreographed entangle dances: topological states of quantum matter
• Unusual liquid state of hard-core bosons on the pyrochlore lattice
• Disordered Route to the Coulomb Quantum Spin Liquid: Random Transverse Fields on Spin Ice in Pr${}_2$Zr${}_2$O${}_7$
• Antiferro-quadrupolar correlations in the quantum spin ice candidate Pr2Zr2O7
• Physical properties of a candidate quantum spin-ice system Pr2Hf2O7
• Dirac's "magnetic monopole" in pyrochlore ice U(1) spin liquids: Spectrum and classification
• Competing $U(1)$ and ${\mathbb{Z}}_2$ dipolar-octupolar quantum spin liquids on the pyrochlore lattice: application to Ce${}_2$Zr${}_2$O${}_7$
• Projective symmetry group classification of chiral ${\mathbb{Z}}_2$ spin liquids on the pyrochlore lattice: application to the spin-$1/2$ XXZ Heisenberg model
• Single crystal growth, structure and magnetic properties of Pr2Hf2O7 pyrochlore
• Rod motifs in neutron scattering in spin ice
• Revisiting spin ice physics in the ferromagnetic Ising pyrochlore Pr${}_2$Sn${}_2$O${}_7$
• Field-driven transition from quantum spin liquid to magnetic order in triangular-lattice antiferromagnets

Cited by in corpus (1)

• Disorder-induced proximate quantum spin ice phase in Pr2Sn2O7