Ising Machine Based on Electrically Coupled Spin Hall Nano-Oscillators

The Ising machine is an unconventional computing architecture that can be used to solve NP-hard combinatorial optimization problems more efficiently than traditional von Neumann architectures. Fast, compact oscillator networks provide programmable connectivities among arbitrary pairs of nodes are highly desirable for the development practical oscillator-based machines. Here we propose using electrically coupled array gigahertz spin Hall nano-oscillators realize such a network. By developing general analytical framework describes injection locking oscillators with large precession angles, explicitly show mapping between oscillators' properties and model. We integrate our model into versatile Verilog-A device emulate dynamics in circuit simulators. With this abstract model, analyze performance network at level conventional electronic components considering phase noise scalability. Our results design insights analysis tools toward realization CMOS-integrated operating high degree time, space, energy efficiency.