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Updated: Jan 19, 2026

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Unveiling hidden multipolar orders with magnetostriction.

Adarsh S Patri1, Akito Sakai2,3, SungBin Lee4

  • 1Department of Physics and Centre for Quantum Materials, University of Toronto, Toronto, ON, M5S 1A7, Canada.

Nature Communications
|September 11, 2019
PubMed
Summary
This summary is machine-generated.

Researchers propose magnetostriction as a novel method to detect hidden orders, specifically higher-order multipolar symmetry breaking like octupolar order in Pr-based compounds. This technique offers direct access to subtle order parameters by measuring length changes under magnetic fields.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Quantum Materials

Background:

  • Higher-order multipolar degrees of freedom in solids lead to "hidden orders" that are difficult to detect with conventional methods.
  • Pr-based cage compounds, such as Pr(Ti,V,Ir)2(Al,Zn)20, exhibit complex electronic behaviors driven by strongly correlated f-electrons.
  • These materials possess low-energy degrees of freedom dominated by higher-order multipoles, including quadrupoles and octupoles.

Purpose of the Study:

  • To theoretically propose and validate magnetostriction as a direct detection method for higher-order multipolar symmetry breaking.
  • To investigate the potential of detecting elusive octupolar order in Pr-based cage compounds.
  • To establish a relationship between magnetostriction and octupolar order parameters.

Main Methods:

  • Development of a symmetry-based Landau theory to model the system's behavior.
  • Theoretical analysis of magnetostriction, specifically the length change in response to an applied magnetic field (h).
  • Focus on Pr-based cage compounds Pr(Ti,V,Ir)2(Al,Zn)20 with higher-order multipolar degrees of freedom.

Main Results:

  • A distinct linear-in-h length change was theoretically predicted when a magnetic field is applied along the [111] direction.
  • This specific magnetostriction effect is observed below the octupolar ordering temperature.
  • The calculated magnetostriction coefficient is directly proportional to the octupolar order parameter.

Conclusions:

  • Magnetostriction serves as a powerful and novel probe for directly detecting higher-order multipolar symmetry breaking, including octupolar order.
  • The proposed method provides clear access to subtle octupolar order parameters in materials like Pr-based cage compounds.
  • This work opens new avenues for characterizing complex magnetic orders in quantum materials.