Quantum spin ice under a [111] magnetic field: from pyrochlore to kagomé

Abstract

Quantum spin ice, modeled for magnetic rare-earth pyrochlores, has attracted great interest for hosting a U(1) quantum spin liquid, which involves spin-ice monopoles as gapped deconfined spinons, as well as gapless excitations analogous to photons. However, the global phase diagram under a [111] magnetic field remains open. Here we uncover by means of unbiased quantum Monte-Carlo simulations that a supersolid of monopoles, showing both a superfluidity and a partial ionization, intervenes the kagomé spin ice and a fully ionized monopole insulator, in contrast to classical spin ice where a direct discontinuous phase transition takes place. We also show that on cooling, kagomé spin ice evolves towards a valence bond solid similar to what appears in the associated kagomé lattice model [S. V. Isakov et al., Phys. Rev. Lett. 97, 147202 (2006)]. Possible relevance to experiments is discussed.

5 pages, 4 figures; accepted for publication in PRL

References in corpus (7)

• Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
• 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}
• Candidate quantum spin ice in the pyrochlore Pr${}_2$Hf${}_2$O${}_7$

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• Realization of fractonic quantum phases in the breathing pyrochlore lattice
• Epitaxial stabilization of (111)-oriented frustrated quantum pyrochlore thin films
• $\mu$SR Study of the Dipole-Octupole Quantum Spin Ice Candidate Ce${}_2$Zr${}_2$O${}_7$
• Electronic structure by X-ray absorption spectroscopy and observation offield induced unusually slowspin relaxation from magnetic properties in pyrochlore Eu${}_{2-x}$Fe${}_x$Ti${}_2$O${}_7$
• The complex non-collinear magnetic orderings in Ba2YOsO6: A new approach to tuning spin-lattice interactions and controlling magnetic orderings in frustrated complex oxides
• Field-selective classical spin liquid and magnetization plateaus on kagome lattice
• Quantum paramagnetism in a non-Kramers rare-earth oxide: Monoclinic $\mathrm{P}{\mathrm{r}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$
• Hidden phases born of a quantum spin liquid: Application to pyrochlore spin ice
• Tunable critical correlations in kagome ice
• Dimensional change of quadrupole orders in pseudospin-$\frac{1}{2}$ pyrochlore magnets under [111] field
• Neutron scattering from fragmented frustrated magnets
• Towards a global phase diagram of Ce-based dipolar-octupolar pyrochlore magnets under magnetic fields
• Quantum Spin Superfluid from Bose-Einstein Condensation of Spinons in Pyrochlore Spin Ice