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Nematic bits and universal logic gates.

Žiga Kos1,2,3, Jörn Dunkel1

  • 1Department of Mathematics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139, USA.

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Researchers introduce nematic bits (nbits) using liquid crystal defects for information processing. These nematic bits can perform logic gate operations, paving the way for topological soft matter computation.

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Area of Science:

  • Soft Matter Physics
  • Topological Matter
  • Information Science

Background:

  • Liquid crystals (LCs) possess robust topological defect structures influencing their properties.
  • Precise control over nematic LC defects has been achieved experimentally.
  • The potential of LC defects for information storage and processing remains largely unexplored.

Purpose of the Study:

  • To introduce and explore the concept of nematic bits (nbits) for computation.
  • To demonstrate the implementation of logic gates using nematic bits.
  • To explore generalized logical functions within topological soft matter systems.

Main Methods:

  • Quaternionic mapping of LC defects to the Poincaré-Bloch sphere.
  • Theoretical modeling and numerical simulations.
  • Application of electric fields and exploitation of nematoelastic interactions.

Main Results:

  • Demonstrated single-nbit operations analogous to Pauli and Hadamard gates using electric fields.
  • Constructed universal classical NOR and NAND gates using four-nbit configurations.
  • Implemented generalized logical functions operating on the Poincaré-Bloch sphere.

Conclusions:

  • Nematic bits offer a novel approach for information processing in topological soft matter.
  • This work establishes a foundation for classical digital and nonclassical continuous computation in LCs.
  • The findings open new avenues for utilizing the unique properties of topological defects in advanced computing paradigms.