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Programming emergent symmetries with saddle-splay elasticity.

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Area of Science:

  • Soft Matter Physics
  • Materials Science
  • Liquid Crystal Technology

Background:

  • Liquid crystal director alignment is governed by external forces and internal elasticity.
  • Internal elasticity typically resists deformation, but liquid crystals possess an intrinsic tendency towards saddle-splay configurations.
  • The saddle-splay elastic constant (K24) is usually immeasurable due to surface anchoring effects.

Purpose of the Study:

  • To identify conditions where saddle-splay effects in liquid crystals can be observed and utilized.
  • To develop a new method for measuring the saddle-splay elastic constant (K24).
  • To demonstrate a device exploiting these saddle-splay phenomena for optoelectronic applications.

Main Methods:

  • Theoretical modeling and continuum calculations.
  • Utilizing patterned surfaces to control liquid crystal behavior.
  • Designing and testing a multistable device with spontaneously-polar surface states.

Main Results:

  • Identified experimental regimes where patterned surfaces enable observable saddle-splay effects.
  • Demonstrated spontaneous breaking of surface symmetries in generic, achiral liquid crystals.
  • Successfully measured the saddle-splay elastic constant (K24) through these new routes.
  • Developed a multistable device switching between saddle-splay-motivated states using weak fields.

Conclusions:

  • Patterned surfaces offer a viable method to observe and exploit liquid crystal saddle-splay arrangements.
  • This approach provides a novel pathway for measuring the elusive saddle-splay elastic constant (K24).
  • The findings present a scalable platform for developing advanced, low-field, fast-switching optoelectronic devices.