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Interface modes in planar one-dimensional magnonic crystals.

Szymon Mieszczak1, Jarosław W Kłos2

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We introduce the Zak phase for spin waves in magnonic crystals, revealing interface modes at boundaries. Shifting unit cells controls these modes, demonstrating bulk-to-edge correspondence.

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Area of Science:

  • Condensed Matter Physics
  • Spintronics
  • Topological Materials

Background:

  • Spin waves propagate as excitations in magnetic materials.
  • Magnonic crystals offer tunable control over spin wave propagation.
  • Topological concepts are increasingly applied to condensed matter systems.

Purpose of the Study:

  • To introduce and explore the Zak phase concept for spin waves in planar magnonic crystals.
  • To investigate the existence conditions and properties of interface modes.
  • To establish a bulk-to-edge correspondence for these topological modes.

Main Methods:

  • Theoretical analysis using symmetry criteria and logarithmic derivative of Bloch functions.
  • Numerical verification of theoretical predictions.
  • Extension of the model to non-centrosymmetric unit cells and investigation of dipolar interactions.

Main Results:

  • Demonstration of interface modes localized at the boundary of magnonic crystals.
  • Confirmation of bulk-to-edge correspondence for spin wave topological modes.
  • Control over interface mode propagation by unit cell shifting and inclusion of dipolar interactions.

Conclusions:

  • The Zak phase provides a framework for understanding topological phenomena in magnonic systems.
  • Interface modes exhibit tunable properties influenced by crystal symmetry and interactions.
  • This work opens avenues for designing novel magnonic devices with tailored functionalities.