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RC circuit based on magnetic skyrmions

Skyrmions are nanosized magnetic whirls attractive for spintronic applications due to their innate stability.

They can emulate the characteristic behavior of various spintronic and electronic devices such as spin-torque

nano-oscillators, artificial neurons and synapses, logic devices, diodes, and ratchets. Here, we show that

skyrmions can emulate the physics of an RC circuit—the fundamental electric circuit composed of a resistor and

a capacitor—on the nanosecond time scale. The equation of motion of a current-driven skyrmion in a quadratic

energy landscape is mathematically equivalent to the differential equation characterizing an RC circuit: the

applied current resembles the applied input voltage and the skyrmion position resembles the output voltage at the

capacitor. These predictions are confirmed via micromagnetic simulations.We show that such a skyrmion system

reproduces the characteristic exponential voltage decay upon charging and discharging the capacitor under

constant input. Furthermore, it mimics the low-pass filter behavior of RC circuits by filtering high frequencies

in periodic input signals. Since RC circuits are mathematically equivalent to the leaky-integrate-fire (LIF) model

widely used to describe biological neurons, our device concept can also be regarded as a perfect artificial LIF

neuron.

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