Ratchet Cellular Automata

Abstract

In this work we propose a ratchet effect which provides a general means of performing clocked logic operations on discrete particles, such as single electrons or vortices. The states are propagated through the device by the use of an applied AC drive. We numerically demonstrate that a complete logic architecture is realizable using this ratchet. We consider specific nanostructured superconducting geometries using superconducting materials under an applied magnetic field, with the positions of the individual vortices in samples acting as the logic states. These devices can be used as the building blocks for an alternative microelectronic architecture.

4 pages, 3 figures

References in corpus (5)

• Vortex phase diagram for mesoscopic superconducting disks
• Reducing vortex density in superconductors using the ratchet effect
• Shapiro steps in a superconducting film with an antidot lattice
• Fine Structure in Magnetization of Individual Fluxoid States
• Collective Multi-Vortex States in Periodic Arrays of Traps

Cited by in corpus (33)

• Controlled Manipulation of Individual Vortices in a Superconductor
• Reversible Vortex Ratchet Effects and Ordering in Superconductors with Simple Asymmetric Potential Arrays
• Experimental ratchet effect in superconducting films with periodic arrays of asymmetric potentials
• Fluxonic Cellular Automata
• Dynamics, Rectification, and Fractionalization for Colloids on Flashing Substrates
• Vortex-antivortex dynamics and field-polarity-dependent flux creep in hybrid superconductor/ferromagnet nanostructures
• Braiding Majorana Fermions and Creating Quantum Logic Gates with Vortices on a Periodic Pinning Structure
• Rectification and Flux Reversals for Vortices Interacting with Triangular Traps
• Noise enhanced performance of ratchet cellular automata
• Vortex configurations and dynamics in elliptical pinning sites for high matching fields
• 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
• Co-existence of the Meissner and vortex-state on a superconducting spherical shell
• Evidence of Vortex Jamming in Abrikosov Vortex Flux Flow Regime
• Transverse rectification of disorder-induced fluctuations in a driven system
• Spontaneous Transverse Response and Amplified Switching in Superconductors with Honeycomb Pinning Arrays
• Tailored flux pinning in superconductor/ferromagnet multilayers with engineered magnetic domain morphology from stripes to skyrmions
• 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
• Nonlinear dynamics, rectification, and phase locking for particles on symmetrical two-dimensional periodic substrates with dc and circular ac drives
• Superconducting/magnetic three state nanodevice for memory and reading applications
• Individual Vortex Manipulation and Stick-Slip Motion in Periodic Pinning Arrays
• 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
• 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
• Ratchet Effect and Nonlinear Transport for Particles on Random Substrates with Crossed ac Drives
• Vortex crossing and trapping in doubly connected mesoscopic loops of a single-crystal type II superconductor
• 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
• Ratchet Effects for Vortices in Superconductors with Periodic Pinning Arrays
• Vortex crossing, trapping and pinning in superconducting nanowires of a NbSe${}_2$ two-dimensional crystal
• Active Matter on Asymmetric Substrates
• Nanostructured Superconductors
• Non-invertible transformations and spatiotemporal randomness
• Controlled Manipulation of Intermediate State in a Type-I Superconductor