Hidden phases born of a quantum spin liquid: Application to pyrochlore spin ice

Abstract

Quantum spin liquids (QSL) have generated considerable excitement as phases of matter with emergent gauge structures and fractionalized excitations. In this context, phase transitions out of QSLs have been widely discussed as Higgs transitions from deconfined to confined phases of a lattice gauge theory. However the possibility of a wider range of novel phases, occuring between these two limits, has yet to be systematically explored. In this Letter, we develop a formalism which allows for interactions between fractionalised quasiparticles coming from the constraint on the physical Hilbert space, and can be used to search for exotic, hidden phases. Taking pyrochlore spin ice as a starting point, we show how a U(1) QSL can give birth to abundant daughter phases, without need for fine--tuning of parameters. These include a (charged--) ${\mathbb{Z}}_2$ QSL, and a supersolid. We discuss implications for experiment, and numerical results which support our analysis. These results are of broad relevance to QSL subject to a parton description, and offer a new perspective for searching exotic hidden phases in quantum magnets.

arXiv comment18 pages, 6 figures

References in corpus (37)

• Quantum Spin Liquids
• Quantum Spin Liquid States
• Z_2 Gauge Theory of Electron Fractionalization in Strongly Correlated Systems
• Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
• A Field Guide to Spin Liquids
• Quantum Spin Ice: A Search for Gapless Quantum Spin Liquids in Pyrochlore Magnets
• Quantum Excitations in Quantum Spin Ice
• Nematic order in square lattice frustrated ferromagnets
• Spin Correlations in Ho${}_2$Ti${}_2$O${}_7$: a Dipolar Spin Ice System
• Coulombic Quantum Liquids in Spin-1/2 Pyrochlores
• Seeing the light : experimental signatures of emergent electromagnetism in a quantum spin ice
• Generic quantum spin ice
• Higgs transition from a magnetic Coulomb liquid to a ferromagnet in Yb_2Ti_2O_7
• Quantum Ice : a quantum Monte Carlo study
• Quantum fluctuations in the effective pseudospin-1/2 model for magnetic pyrochlore oxides
• Three dimensional resonating valence bond liquids and their excitations
• Unusual liquid state of hard-core bosons on the pyrochlore lattice
• Quantum Spin Ice Dynamics in the Dipole-Octupole Pyrochlore Magnet Ce${}_2$Zr${}_2$O${}_7$
• Disordered Route to the Coulomb Quantum Spin Liquid: Random Transverse Fields on Spin Ice in Pr${}_2$Zr${}_2$O${}_7$
• A quantum liquid of magnetic octupoles on the pyrochlore lattice
• Rods of Neutron Scattering Intensity in Yb2Ti2O7: Compelling Evidence for Significant Anisotropic Exchange in a Magnetic Pyrochlore Oxide
• Experimental signatures of emergent quantum electrodynamics in Pr${}_2$Hf${}_2$O${}_7$
• On the origin of artificial electrodynamics and other stories in three-dimensional bosonic models
• Numerical evidence of quantum melting of spin ice: quantum-classical crossover
• SU(2) slave-boson formulation of spin nematic states in S=1/2 frustrated ferromagnets
• Dynamics of Topological Excitations in a Model Quantum Spin Ice
• Magnetic monopole condensation in pyrochlore ice quantum spin liquid: application to Pr2Ir2O7 and Yb2Ti2O7
• Spin slush in an extended spin ice model
• Quantum spin ice with frustrated transverse exchange: from pi-flux phase to nematic quantum spin liquid
• Effective quantum pseudospin-1/2 model for Yb pyrochlore oxides
• Of chain-based order and quantum spin liquids in dipolar spin ice
• When opposites repel: from metastability to extended chiral spin textures in spin ice with short-range topological-defect interactions
• Projective studies of spin nematics in a quantum frustrated ferromagnet
• Order out of a Coulomb phase and Higgs transtion: frustrated transverse interactions of Nd2Zr2O7
• Higgs transitions of spin ice
• Quantum spin ice under a [111] magnetic field: from pyrochlore to kagomé
• Extended Coulomb liquid of paired hardcore boson model on a pyrochlore lattice

Cited by in corpus (4)

• Spin Nematics Meet Spin Liquids: Exotic Quantum Phases in the Spin-$1$ Bilinear-Biquadratic Model with Kitaev Interactions
• Symmetry fractionalization in the gauge mean-field theory of quantum spin ice
• Finite Temperature Dynamics in 0-Flux and $\pi$-Flux Quantum Spin Ice: Self-Consistent Exclusive Boson Approach
• Order, Disorder and Monopole Confinement in the Spin-$1/2$ XXZ Model on a Pyrochlore Tube