Fluxonic Cellular Automata

Abstract

We formulate a new concept for computing with quantum cellular automata composed of arrays of nanostructured superconducting devices. The logic states are defined by the position of two trapped flux quanta (vortices) in a 2x2 blind-hole-matrix etched on a mesoscopic superconducting square. Such small computational unit-cells are well within reach of current fabrication technology. In an array of unit-cells, the vortex configuration of one cell influences the penetrating flux lines in the neighboring cell through the screening currents. Alternatively, in conjoined cells, the information transfer can be strengthened by the interactions between the supercurrents in adjacent cells. Here we present the functioning logic gates based on this fluxonic cellular automata (FCA), where the logic operations are verified through theoretical simulations performed in the framework of the time-dependent Ginzburg-Landau theory. The input signals are defined by current loops placed on top of the two diagonal blind holes of the input cell. For given current-polarization, external flux lines are attracted or repelled by the loops, forming the '0' or '1' configuration. The read-out technology may be chosen from a large variety of modern vortex imaging methods, transport and LDOS measurements.

Featured on the cover page of APL, November 2007 issue

References in corpus (5)

• Ferromagnet-Superconductor Hybrids
• Experimental Evidence for Giant Vortex States in a Mesoscopic Superconducting Disk
• Intermittently Flowing Rivers of Quantized Magnetic Flux
• Ratchet Cellular Automata
• Vortex-antivortex nucleation in magnetically nanotextured superconductors: Magnetic-field-driven and thermal scenarios

Cited by in corpus (23)

• Statics and Dynamics of Skyrmions Interacting with Pinning: A Review
• Imaging of super-fast dynamics and flow instabilities of superconducting vortices
• Beyond Moore's technologies: operation principles of a superconductor alternative
• Mechanical control of individual superconducting vortices
• Local current injection into mesoscopic superconductors for the manipulation of quantum states
• Braiding Majorana Fermions and Creating Quantum Logic Gates with Vortices on a Periodic Pinning Structure
• Unconventional vortex states in nanoscale superconductors due to shape-induced resonances in the inhomogeneous Cooper-pair condensate
• Electronic properties of emergent topological defects in chiral $p$-wave superconductivity
• Ultradense Tailored Vortex Pinning Arrays in Superconducting YBa${}_2$Cu${}_3$O${}_{7-\delta }$ Thin Films Created by Focused He Ion Beam Irradiation for Fluxonics Applications
• Tailored flux pinning in superconductor/ferromagnet multilayers with engineered magnetic domain morphology from stripes to skyrmions
• Second generation of vortex-antivortex states in mesoscopic superconductors: stabilization by artificial pinning
• Manipulating multi-vortex states in superconducting structures
• Hysteretic vortex matching effects in high-$T_c$ superconductors with nanoscale periodic pinning landscapes fabricated by He ion beam projection technique
• Vortex manipulation in a superconducting matrix with view on applications
• Vortex matching at 6 T in YBa${}_2$Cu${}_3$O${}_{7-\delta }$ thin films by imprinting a 20 nm-periodic pinning array with a focused helium ion beam
• Individual Vortex Manipulation and Stick-Slip Motion in Periodic Pinning Arrays
• Comparing the Dynamics of Skyrmions and Superconducting Vortices
• Angular magnetic-field dependence of vortex matching in pinning lattices fabricated by focused or masked helium ion beam irradiation of superconducting YBa${}_2$Cu${}_3$O${}_{7-\delta }$ thin films
• Probing confined vortices with a superconducting nanobridge
• Unconventional critical state in YBa${}_2$Cu${}_3$O${}_{7-\delta }$ thin films with a vortex-pin lattice fabricated by masked He${}^{+}$ ion beam irradiation
• The importance of thermal gradients on the vortex dynamics and magnetic behavior of mesoscopic superconducting samples
• Nanostructured Superconductors
• Gradient Flow in the Ginzburg-Landau Model of Superconductivity