Synchronization properties and reservoir computing capability of hexagonal spintronic oscillator arrays

• Published in: Journal of magnetism and magnetic materials 2020-11, Vol.513, p.167251, Article 167251
• Main Author: Chęciński, Jakub
• Format: Article
• Language: English
• Subjects: Arrays; Boundary conditions; Computation; Coupling; Oscillators; Synchronism
• ISSN: 0304-8853; 1873-4766
• DOI: 10.1016/j.jmmm.2020.167251

•Magnetic coupling in oscillator arrays depends on the geometry choice.•Replacing rectangular with hexagonal geometry increases synchronization capability.•As a result, higher output power and lower linewidth can be achieved.•It is also possible to increase selected reservoir computing capabilities. The influence of array geometry on synchronization properties of a 2-D oscillator array is investigated based on a comparison between a rectangular and a hexagonal grid. The Kuramoto model is solved for a nearest-neighbor case with periodic boundary conditions and for a small-scale, realistic coupling case with 1/r3 decay characteristic of spintronic oscillators. In both cases, it is found that the hexagonal grid choice leads to lower synchronization threshold and higher emission power than its rectangular counterpart, which results from increased connectivity, as well as, in the realistic-coupling case, from decreased contributions of the array edges. Additionally, a more general spin-torque oscillator model including both amplitude and phase as degrees of freedom is employed for reservoir computing simulations, showing that by using hexagonal grid one can increase the short-term memory capacity but not the parity-check capacity of the system.