Nematic bits and universal logic gates

Kos, Žiga (avtor), Dunkel, Jörn (avtor)

Liquid crystals (LCs) can host robust topological defect structures that essentially determine their optical and elastic properties. Although recent experimental progress enables precise control over nematic LC defects, their practical potential for information storage and processing has yet to be explored. Here, we introduce the concept of nematic bits (nbits) by exploiting a quaternionic mapping from LC defects to the Poincaré-Bloch sphere. Through theory and simulations, we demonstrate how single-nbit operations can be implemented using electric fields, to construct LC analogs of Pauli, Hadamard, and other elementary logic gates. Using nematoelastic interactions, we show how four-nbit configurations can realize universal classical NOR and NAND gates. Last, we demonstrate the implementation of generalized logical functions that take values on the Poincaré-Bloch sphere. These results open a route toward the implementation of classical digital and nonclassical continuous computation strategies in topological soft matter systems.

• Jezik: Angleški jezik
• Ključne besede: liquid crystals, nematic bits, logic gates
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FMF - Fakulteta za matematiko in fiziko
• Status publikacije: Objavljeno
• Različica publikacije: Objavljena publikacija
• Leto izida: 2022
• Št. strani: 10 str.
• Številčenje: Vol. 8, no. 33, art. eabp8371
• PID: 20.500.12556/RUL-145387
• UDK: 538.9
• ISSN pri članku: 2375-2548
• DOI: 10.1126/sciadv.abp8371
• COBISS.SI-ID: 119595779
• Datum objave v RUL: 20.04.2023

Gradivo je del revije

• Naslov: Science advances
• Založnik: American Association for the Advancement of Science
• ISSN: 2375-2548
• COBISS.SI-ID: 523392025

Licence

• Licenca: CC BY 4.0, Creative Commons Priznanje avtorstva 4.0 Mednarodna
• Povezava: http://creativecommons.org/licenses/by/4.0/deed.sl
• Opis: To je standardna licenca Creative Commons, ki daje uporabnikom največ možnosti za nadaljnjo uporabo dela, pri čemer morajo navesti avtorja.

Sekundarni jezik

• Jezik: Slovenski jezik
• Ključne besede: tekoči kristali, nematski biti, logična vrata