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We discovered the microscopic origin of electric polarization in Mott insulators driven by noncollinear magnetic order. This arises from spin-orbit interactions coupling to spin currents, explaining experimental data in spiral magnets.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Quantum Mechanics

Background:

  • Noncollinear magnetic order can induce electric polarization, a phenomenon with significant technological implications.
  • Understanding the microscopic origins of this magnetoelectric coupling is crucial for designing new functional materials.
  • Previous models have not fully captured the complexity of this interaction in Mott insulators.

Purpose of the Study:

  • To reveal the microscopic origin of electric polarization induced by noncollinear magnetic order in Mott insulators.
  • To elucidate the role of spin-orbit interaction and spin currents in generating this polarization.
  • To provide a theoretical framework consistent with experimental observations in specific materials.

Main Methods:

  • Theoretical analysis of electric polarization (P) in Mott insulators based on combinations of position operators and transfer integrals.
  • Identification of contributions from spin-independent terms and spin-orbit interaction.
  • Density-functional theory (DFT) calculations applied to spiral magnets (CuCl₂, CuBr₂, CuO, α-Li₂IrO₃).

Main Results:

  • Electric polarization arises from combinations of spin-independent and spin-orbit-dependent position operators and transfer integrals.
  • A key term, t⁰r, couples spin currents and remains finite in centrosymmetric bonds, inducing polarization with noncollinear spins.
  • The magnetoelectric coupling is richer than previously described phenomenological laws.

Conclusions:

  • The study provides a microscopic explanation for electric polarization induced by noncollinear magnetism in Mott insulators.
  • The proposed mechanism, involving spin-orbit interaction and spin currents, consistently explains experimental data in several spiral magnets.
  • This work advances the understanding of magnetoelectric effects and their origins in complex magnetic materials.