Quantum Kagome Ice

Abstract

Actively shought since the turn of the century, two-dimensional quantum spin liquids (QSLs) are exotic phases of matter where magnetic moments remain disordered even at extremely low temperatures. Despite ongoing searches, QSLs remain elusive, due to a lack of concrete knowledge of the microscopic mechanisms that inhibit magnetic order in real materials. Here, we study a theoretical model for a broad class of frustrated magnetic rare-earth pyrochlore materials called "quantum spin ices". When subject to an external magnetic field along the [111] crystallographic direction, the resulting spin interactions contain a mix of geometric frustration and quantum fluctuations in decoupled two-dimensional kagome planes. Using large-scale quantum Monte Carlo simulations, we identify a simple set of interactions sufficient to promote a groundstate with no magnetic long-range order, and a gap to excitations, consistent with a $Z_2$ spin liquid phase. This suggests a systematic experimental procedure to search for two-dimensional QSLs within the broader class of three-dimensional pyrochlore quantum spin ice materials.

11 pages, 13 figures. Includes supplemental information

References in corpus (16)

• Bose-Einstein Condensation in Magnetic Insulators
• Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
• Quantum Spin Ice: A Search for Gapless Quantum Spin Liquids in Pyrochlore Magnets
• Dynamically-Induced Frustration as a Route to a Quantum Spin Ice State in Tb2Ti2O7 via Virtual Crystal Field Excitations and Quantum Many-Body Effects
• Designing Frustrated Quantum Magnets with Laser-Dressed Rydberg Atoms
• Quantum spin ices and topological phases from dipolar-octupolar doublets on the pyrochlore lattice
• Valence Bond Solids and Their Quantum Melting in Hard-Core Bosons on the Kagome Lattice
• Theory of the [111] magnetization plateau in spin ice
• Unusual liquid state of hard-core bosons on the pyrochlore lattice
• Magnetization process of spin ice in a [111] magnetic field
• Kagomé ice state in the dipolar spin ice Dy_{2}Ti_{2}O_{7}
• Spin nematics and magnetization plateau transition in anisotropic Kagome magnets
• A Multi-Dimensional Lieb-Schultz-Mattis Theorem
• Proposal for a [111] Magnetization Plateau in the Spin Liquid State of Tb2Ti2O7
• Simulations of Quantum XXZ Models on Two-Dimensional Frustrated Lattices
• Classical Topological Order in Kagome Ice

Cited by in corpus (32)

• Realization of the kagome spin ice state in a frustrated intermetallic compound
• Easing the Monte Carlo sign problem
• How quantum are classical spin ices?
• The quantum origins of moment fragmentation in Nd2Zr2O7
• Experimental signatures of quantum and topological states in frustrated magnetism
• Reentrant Phase Diagram of $\mathrm{Y}{\mathrm{b}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$ in $⟨111⟩$ Magnetic Field
• Fragmentation in Frustrated Magnets -- A review
• Generic nearest-neighbour kagome model: XYZ & Dzyaloshinskii-Moriya, and comparison to pyrochlore
• Quantum versus Classical Spin Fragmentation in Dipolar Kagome Ice Ho3Mg2Sb3O14
• Dynamic quantum kagome ice
• Quantum spin ice under a [111] magnetic field: from pyrochlore to kagomé
• Theory of magnetostriction for multipolar quantum spin ice in pyrochlore materials
• Directed-Loop Quantum Monte Carlo Method for Retarded Interactions
• Large magnetocaloric effect in the kagome ferromagnet Li${}_9$Cr${}_3$(P${}_2$O${}_7$)${}_3$(PO${}_4$)${}_2$
• Spin ice thin films: Large-N theory and Monte Carlo simulations
• Extended Coulomb liquid of paired hardcore boson model on a pyrochlore lattice
• Simulating the Transverse Field Ising Model on the Kagome Lattice using a Programmable Quantum Annealer
• A Large-$S$ Study of Quantum Kagome Ice
• Engineering Topological Models with a General-Purpose Symmetry-to-Hamiltonian Approach
• Tunneling-induced restoration of classical degeneracy in quantum kagome ice
• Theory of quantum kagome ice and vison zero modes
• Designs of magnetic atom-trap lattices for quantum simulation experiments
• Field-selective classical spin liquid and magnetization plateaus on kagome lattice
• Tunable critical correlations in kagome ice
• XY ring exchange model with frustrated Ising coupling on the triangular lattice
• Conservation of Quantum Correlations in Multimode Systems with $U(1)$ Symmetry
• Quantum triangular ice in the easy-axis ferromagnetic phase
• Ground state properties of quantum triangular ice
• Monte Carlo Simulations of ABC Stacked Kagome Lattice Thin Films
• Ground state properties of quantum Kagome ice hardcore bosons
• Nematic correlations and nematic Berezinskii-Kosterlitz-Thouless transition in spin-1 kagome lattice antiferromagnets
• Sampling and the complexity of nature