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Quantum order by disorder and accidental soft mode in Er2Ti2O7.

M E Zhitomirsky1, M V Gvozdikova, P C W Holdsworth

  • 1Service de Physique Statistique, Magnétisme et Supraconductivité, UMR-E CEA-INAC/UJF, Grenoble, France.

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|September 26, 2012
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Summary
This summary is machine-generated.

Researchers developed a pseudodipolar spin model for the Er(2)Ti(2)O(7) material. Quantum fluctuations explain the observed noncoplanar spin structure and resolve the continuous ordering transition puzzle.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Magnetism
  • Materials Science

Background:

  • Recent neutron scattering experiments on the XY pyrochlore antiferromagnet Er(2)Ti(2)O(7) revealed unusual magnetic properties.
  • Previous theoretical models failed to explain the experimentally observed continuous ordering transition.

Purpose of the Study:

  • To derive and study an effective pseudodipolar spin model for Er(2)Ti(2)O(7).
  • To explain the origin of the noncoplanar spin structure and the continuous ordering transition.

Main Methods:

  • Derivation of an effective pseudodipolar spin-1/2 model.
  • Analysis of classical degeneracy and its lifting by quantum fluctuations.
  • Investigation of the low-energy excitation spectrum.

Main Results:

  • The model exhibits a one-parameter accidental classical degeneracy due to bond-dependent exchange anisotropy.
  • Quantum fluctuations lift this degeneracy, favoring the experimentally observed noncoplanar spin structure (quantum order by disorder).
  • A non-Goldstone low-energy mode is predicted, consistent with inelastic neutron scattering data.
  • The model successfully resolves the puzzle of the continuous ordering transition.

Conclusions:

  • The derived pseudodipolar spin model provides a comprehensive explanation for the magnetic properties of Er(2)Ti(2)O(7).
  • The study highlights a rare experimental realization of quantum order by disorder.
  • The theoretical framework offers insights into complex magnetic phenomena in frustrated quantum magnets.