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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Nanotechnology

Background:

  • Two-dimensional (2D) crystals offer unique electronic and mechanical properties.
  • Flexoelectricity, the induction of polarization by strain, is a key phenomenon in dielectrics.
  • Understanding strain-induced polarization in 2D materials is vital for novel device applications.

Purpose of the Study:

  • To predict and quantify the in-plane polarization response to bending in trigonal 2D crystals.
  • To compute flexoelectric coefficients from first-principles calculations.
  • To explore the topological and phononic implications of this in-plane response.

Main Methods:

  • First-principles calculations using the primitive crystal cell.
  • Linear-response theory to determine flexoelectric coefficients.
  • Analysis of polarization textures in bent and rippled structures.
  • Calculation of flexural phonon-induced electric fields.

Main Results:

  • A large in-plane polarization response to bending was predicted in various trigonal 2D crystals (e.g., SnS2, silicene, phosphorene, RhI3, h-BN bilayer).
  • The in-plane flexoelectric coefficients were found to be up to an order of magnitude larger than their out-of-plane counterparts.
  • Topological polarization textures associated with bending and rippling were calculated.
  • Longitudinal electric fields induced by flexural phonons were determined.

Conclusions:

  • Trigonal 2D crystals exhibit a significant in-plane flexoelectric effect, offering new avenues for strain-engineered electronics.
  • The large magnitude of this in-plane response surpasses typical out-of-plane contributions.
  • These findings have implications for topological properties and phonon-mediated electronic phenomena in 2D materials.