Phase-Binarized Dipole-Coupled Spin Hall Nano Oscillators (SHNOs) as Ising Machines

Dipole-coupled uniform-mode spin Hall nano-oscillators (SHNOs) are modeled here using coupled Landau Lifschitz Gilbert Slonczweski (LLGS) equations and shown to exhibit phase binarization (an essential criterion for Ising machines) upon the application of RF magnetic field, which is consistent with the dyamics predicted by the physics-agnostic Kuramoto model. Next, it is shown that such phase-binarized dipole-coupled SHNOs can be used to solve the Max-Cut problem on different complete weighted graphs, with weights dependent on the distances between the SHNOs.