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Pinch points and half-moons in dipolar-octupolar Nd2Hf2O7

A. Samartzis1,2,*, J. Xu1,3, V. K. Anand1,4, A. T. M. N. Islam1, J. Ollivier5, Y. Su6, and B. Lake1,2,†

  • 1Helmholtz-Zentrum Berlin für Materialien und Energie, Hahn-Meitner-Platz 1, D-14109 Berlin, Germany
  • 2Institut für Festkörperphysik, Technische Universität Berlin, Hardenbergstrasse 36, D-10623 Berlin, Germany
  • 3Heinz Maier-Leibnitz Zentrum at Lichtenbergstrasse 1, D-85748 Garching, Germany
  • 4Department of Physics, University of Petroleum and Energy Studies, Dehradun, Uttarakhand 248007, India
  • 5Institut Laue Langevin, 6 rue Jules Horowitz, BP 156, F-38042 Grenoble, France
  • 6Jülich Centre for Neutron Science at Heinz Maier-Leibnitz Zentrum, Forschungszentrum Jülich GmbH, Lichtenbergstr. 1, D-85747 Garching, Germany

  • *alexandros.samartzis@helmholtz-berlin.de
  • †bella.lake@helmholtz-berlin.de

Phys. Rev. B 106, L100401 – Published 8 September, 2022

DOI: https://doi.org/10.1103/PhysRevB.106.L100401

Abstract

While it is established that the pinch point scattering pattern in spin ice arises from an emergent Coulomb phase associated with a 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 coexistence of distinct features. Here, we show that the moment in Nd2Hf2O7 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.”

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