Of chain-based order and quantum spin liquids in dipolar spin ice

Abstract

Recent experiments on the spin-ice material Dy2Ti2O7 suggest that the Pauling "ice entropy", characteristic of its classical Coulombic spin-liquid state, may be lost at low temperatures [D. Pomaranski et al., Nature Phys. 9, 353 (2013)]. However, despite nearly two decades of intensive study, the nature of the equilibrium ground state of spin ice remains uncertain. Here we explore how long-range dipolar interactions D, short-range exchange interactions, and quantum fluctuations combine to determine the ground state of dipolar spin ice. We identify a new organisational principle, namely that ordered ground states are selected from a set of "chain states" in which dipolar interactions are exponentially screened. Using both quantum and classical Monte Carlo simulation, we establish phase diagrams as a function of quantum tunneling g, and temperature T, and find that only a very small g_c << D is needed to stabilize a quantum spin-liquid ground state. We discuss the implications of these results for Dy2Ti2O7.

24 pages

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• The quantum origins of moment fragmentation in Nd2Zr2O7
• Refrustration and competing orders in the prototypical Dy2Ti2O7 spin ice material
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• Pauling entropy, metastability and equilibrium in Dy${}_2$Ti${}_2$O${}_7$ spin ice
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• Quantum spin ice in three-dimensional Rydberg atom arrays
• Probing Flat Band Physics in Spin Ice Systems via Polarized Neutron Scattering
• Fragmented spin ice and multi-$k$ ordering in rare-earth antiperovskites
• Competing orders in a frustrated Heisenberg model on the Fisher lattice
• Screening and the Pinch Point Paradox in Spin Ice
• Hidden phases born of a quantum spin liquid: Application to pyrochlore spin ice
• A Magnon Band Analysis of GdRu2Si2 in the Field-Polarized State
• Tuning interactions in the spin-ice materials Dy${}_2$Ge${}_{2-x}$Si${}_x$O${}_7$ by silicon substitution
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