Figure 6

Skyrmion logical AND operation.

The skyrmion represents logical 1 and the ferromagnetic ground state represents logical 0. Left panel, the basic operation of AND gate 1 + 0 = 0: there is a skyrmion in the input A side and no skyrmion in the input B side at initial time, which represents input = 1 + 0; a current density of 4 × 10¹² A m⁻² (the value is of the output side, similarly hereinafter) is applied along −x direction for 0 ns < t < 0.81 ns followed by a relaxation without applying any current until t = 1 ns. At t = 1 ns, no skyrmion is in the output side, which represents output = 0. Middle panel, the basic operation of the AND gate 0 + 1 = 0: there is a skyrmion in the input B side and no skyrmion in the input A side at initial time, which represents input = 0 + 1; a current density of 4 × 10¹² A m⁻² is applied along −x direction for 0 ns < t < 0.81 ns followed by a relaxation without applying any current until t = 1 ns. At t = 1 ns, no skyrmion is in the output side, which represents output = 0. Right panel, the basic operation of the AND gate 1 + 1 = 1: there is a skyrmion in both the input A side and the input B side, which represents input = 1 + 1; a current density of 4 × 10¹² A m⁻² is applied along −x direction for 0 ns < t < 0.81 ns followed by a relaxation without applying any current until t = 1 ns. At t = 1 ns, a stable skyrmion is in the output side, which represents output = 1.