Magnetic monopole condensation in pyrochlore ice quantum spin liquid: application to Pr2Ir2O7 and Yb2Ti2O7

Abstract

Pyrochlore iridates and pyrochlore ices are two families of materials where novel quantum phenomena are intertwined with strong spin-orbit coupling, substantial electron correlation and geometrical frustration. Motivated by the puzzling experiments on two pyrochlore systems Pr2Ir2O7 and Yb2Ti2O7, we study the proximate Ising orders and the quantum phase transition out of quantum spin ice U(1) quantum spin liquid (QSL). We apply the electromagnetic duality of the compact quantum electrodynamics to analyze the "magnetic monopoles" condensation for U(1) QSL. The monopole condensation transition represents a unconventional quantum criticality with unusual scaling laws. It naturally leads to the Ising orders that belong to the "2-in 2-out" spin ice manifold and generically have an enlarged magnetic unit cell. We demonstrate that the antiferormagnetic Ising state with the ordering wavevector $\mathbf{Q}=2\pi (001)$ is proximate to U(1) QSL while the ferromagnetic Ising state with $\mathbf{Q}=(000)$ is not proximate to U(1) QSL. This implies that if there exists a direct transition from U(1) QSL to the ferromagnetic Ising state, the transition must be strongly first order. We apply the theory to Pr2Ir2O7 and Yb2Ti2O7.

10 pages. The work was presented at KITP in Sep 2015. Add a sign-problem-free model

References in corpus (12)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
• Charge $4e$ superconductivity from pair density wave order in certain high temperature superconductors
• Dynamically-Induced Frustration as a Route to a Quantum Spin Ice State in Tb2Ti2O7 via Virtual Crystal Field Excitations and Quantum Many-Body Effects
• Putting competing orders in their place near the Mott transition
• Unusual liquid state of hard-core bosons on the pyrochlore lattice
• Magnetic orders and topological phases from f-d exchange in pyrochlore iridates
• Field Induced Order and Spin Waves in the Pyrochlore Antiferromagnet Tb2Ti2O7
• Bosonic Many-body Theory of Quantum Spin Ice
• Chiral RKKY interaction in Pr2Ir2O7
• Coulomb liquid phases of bosonic cluster Mott insulators on a pyrochlore lattice
• Dual vortex theory of doped Mott insulators

Cited by in corpus (52)

• Frustration and quantum criticality
• Symmetry Enriched U(1) Topological Orders for Dipole-Octupole Doublets on a Pyrochlore Lattice
• Impact of Stoichiometry of Yb2Ti2O7 on its Physical Properties
• Two-dimensional spin liquid behaviour in the triangular-honeycomb antiferromagnet TbInO${}_3$
• The Spinon Fermi Surface U(1) Spin Liquid in a Spin-Orbit-Coupled Triangular Lattice Mott Insulator YbMgGaO4
• Topological Magnon Bands and Unconventional Superconductivity in Pyrochlore Iridate Thin Films
• Competing spin liquids and hidden nematic order in spin ice with frustrated transverse exchange
• Competing orders and topology in the global phase diagram of pyrochlore iridates
• Thermal Hall effects in quantum magnets
• Experimental signatures of quantum and topological states in frustrated magnetism
• Quantum spin ice with frustrated transverse exchange: from pi-flux phase to nematic quantum spin liquid
• The Spectral Periodicity of Spinon Continuum in Quantum Spin Ice
• Dirac's "magnetic monopole" in pyrochlore ice U(1) spin liquids: Spectrum and classification
• Intrinsic quantum Ising model on a triangular lattice magnet TmMgGaO${}_4$ and beyond
• Pyrochlore U(1) spin liquid of mixed symmetry enrichments in magnetic fields
• Instabilities of a U(1) quantum spin liquid in disordered non-Kramers pyrochlores
• Competing phases and topological excitations of spin-one pyrochlore antiferromagnets
• Magnetic field effects in an octupolar quantum spin liquid candidate
• Magnetic field effects on the quantum spin liquid behaviors of NaYbS${}_2$
• Competing orders in pyrochlore magnets from a ${\mathbb{Z}}_2$ spin liquid perspective
• Possible gapless spin liquid in a rare-earth kagomé lattice magnet Tm${}_3$Sb${}_3$Zn${}_2$O${}_{14}$
• Pr${}_2$Ir${}_2$O${}_7$: when Luttinger semimetal meets Melko-Hertog-Gingras spin ice state
• Symmetric $\mathrm{U}(1)$ and ${\mathbb{Z}}_2$ spin liquids on the pyrochlore lattice
• Antiferromagnetic long-range order in $5d^1$ double-perovskite Sr${}_2$MgReO${}_6$
• Gapped ground state in the zigzag pseudospin-1/2 quantum antiferromagnetic chain compound PrTiNbO6
• Topological thermal Hall effect of "magnetic monopoles" in pyrochlore U(1) spin liquid
• Extended Coulomb liquid of paired hardcore boson model on a pyrochlore lattice
• Quantum spin ice in three-dimensional Rydberg atom arrays
• Upper branch magnetism in quantum magnets: Collapses of excited levels and emergent selection rules
• Seeing beyond the light: Vison and photon electrodynamics in quantum spin ice
• Deviation from the dipole-ice model in the new spinel spin-ice candidate, MgEr${}_2$Se${}_4$
• Competing magnetic orders and multipolar Weyl fermions in 227 pyrochlore iridates
• Epitaxial stabilization of (111)-oriented frustrated quantum pyrochlore thin films
• Phonon spectrum of Pr${}_2$Zr${}_2$O${}_7$ and Pr${}_2$Ir${}_2$O${}_7$ as an evidence of coupling of the lattice with electronic and magnetic degrees of freedom
• Peering into the darkness: vison-generated photon mass in quantum spin ice
• Distinguishing thermodynamics and spectroscopy for octupolar U(1) spin liquid of Ce-pyrochlores
• Magnetic Monopoles and Dark Matter
• Is spontaneous vortex generation in superconducting 4Hb-TaS${}_2$ from vison-vortex nucleation with ${\mathbb{Z}}_2$ topological order?
• Weak antilocalization and localization in Eu${}_2$Ir${}_2$O${}_7$ (111) thin films by reactive solid phase epitaxy
• Probing emergent QED in quantum spin ice via Raman scattering of phonons: shallow inelastic scattering and pair production
• Hidden phases born of a quantum spin liquid: Application to pyrochlore spin ice
• Vison crystal in quantum spin ice on the breathing pyrochlore lattice
• Spin-lattice Coupling in U(1) Quantum Spin Liquids
• Electron quasi-itinerancy intertwined with quantum order by disorder in pyrochlore iridate magnetism
• Inelastic neutron scattering on Ce pyrochlores: Signatures of electric monopoles
• Infinite critical boson non-Fermi liquid on heterostructure interfaces
• Confinement, reduced entanglement, and spin-glass order in a random quantum spin-ice model
• Three-dimensional Sandglass Magnet with Non-Kramers ions
• Theta electromagnetism in quantum spin ice: Microscopic analysis of improper symmetries
• Phase Transition and Monopoles Densities in a Nearest Neighbors Two-Dimensional Spin Ice Model
• Quantum Spin Superfluid from Bose-Einstein Condensation of Spinons in Pyrochlore Spin Ice
• Disorder-induced proximate quantum spin ice phase in Pr2Sn2O7