Pinch points and half-moons in dipolar-octupolar Nd${}_2$Hf${}_2$O${}_7$

Abstract

While it is established that the pinch point scattering pattern in spin ice arises from an emergent coulomb phase associated with magnetic moment that is divergence-free, more complex Hamiltonians can introduce a divergence-full part. If these two parts remain decoupled, they give rise to the co-existence of distinct features. Here we show that the moment in $\mathrm{N}{\mathrm{d}}_2\mathrm{H}{\mathrm{f}}_2{\mathrm{O}}_7$ forms a static long-range ordered ground state, a flat, gapped pinch point excitation and dispersive excitations. These results confirm recent theories which predict that the dispersive modes, which arise from the divergence-full moment, host a pinch point pattern of their own, observed experimentally as `half-moons'.

8 pages, 5 figures

References in corpus (7)

• Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
• Dirac Strings and Magnetic Monopoles in Spin Ice Dy2Ti2O7
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• Spin dynamics of the ordered dipolar-octupolar pseudospin-${}^1{/}_2$ pyrochlore Nd${}_2$Zr${}_2$O${}_7$ probed by muon spin relaxation
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Cited by in corpus (3)

• Impact of disorder in Nd-based pyrochlore magnets
• Pinch points and half moons encode Berry curvature
• Spinor ice correlation in flat-band electronic states on kagome and pyrochlore lattices with spin-orbit coupling