Quantum spin ice with frustrated transverse exchange: from pi-flux phase to nematic quantum spin liquid

Abstract

Quantum spin ice materials, pyrochlore magnets with competing Ising and transverse exchange interactions, have been widely discussed as candidates for a quantum spin-liquid ground state. Here, motivated by quantum chemical calculations for Pr pyrochlores, we present the results of a study for frustrated transverse exchange. Using a combination of variational calculations, exact diagonalisation, numerical linked-cluster and series expansions, we find that the previously-studied U(1) quantum spin liquid, in its pi-flux phase, transforms into a nematic quantum spin liquid at a high-symmetry, SU(2) point.

5 pages in main text, 10 pages supplemental material

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• Anisotropic exchange Hamiltonian, magnetic phase diagram and domain inversion of Nd${}_2$Zr${}_2$O${}_7$
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• Identification of hidden order and emergent constraints in frustrated magnets using tensorial kernel methods
• Abundance of hard-hexagon crystals in the quantum pyrochlore antiferromagnet
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• Dipolar-octupolar correlations and hierarchy of exchange interactions in Ce${}_2$Hf${}_2$O${}_7$
• Hidden phases born of a quantum spin liquid: Application to pyrochlore spin ice
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• Classical spin models of the windmill lattice and their relevance for PbCuTe${}_2$O${}_6$
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• L-based numerical linked cluster expansion for square lattice models
• Spin and quadrupole correlations by three-spin interaction in the frustrated pyrochlore magnet Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$
• Quantum Spin Liquids in Pyrochlore Magnets With Non-Kramers Local Moments
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• Emergent Chiral Metal near a Kondo Breakdown Quantum Phase Transition
• Towards a global phase diagram of Ce-based dipolar-octupolar pyrochlore magnets under magnetic fields