Activity in field‐coupled nanomagnet arrays

Abstract

SUMMARYMagnetic-field coupling emerges as a new possibility for nanoscale device integration. This paper investigates power flow between field-coupled single-domain nanomagnets. Using an equivalent-circuit formulation, we demonstrate that nanomagnet circuits can perform power gain in an entirely magnetic way, i.e. they can direct power from an external magnetic pumping field into a magnetic signal path. It was recently shown that networks of coupled nanomagnets can realize Boolean logic operations. This, combined with our finding that they also are active devices, promises the possibility of building complex all-magnetic digital and analog circuits. We also outline an analogy between the operating principles of field-coupled nanomagnet circuits and previous work on magnetic amplifiers.

Field-coupled computing in magnetic multilayers

“…We have shown theoretically that magnetic field-coupled circuits can achieve fast and densely integrated computing which dissipates only few kT power per switching [3,4]. Additionally, field-pumped magnetic logic devices show power gain.…”

On models of fractal networks

“…Sierpinski carpet model is shown to be qualitatively equivalent to the one presented in [25] under different assumptions. The power and applicability of equivalent network models have been a key factors in deriving simpler model of relatively complex phenomena, in electromagnetism, [26,27], as well as in other branches of science. On the other hand, the 'black-box' model presented in Section 3.5 always produces a single multi-port network built from several copies of the previous iteration network.…”

Circuit modelling of coupling between nanosystems and microwave coplanar waveguides

“…Representing the magnetic fields by the i x , i y , and i z currents of three inductors (L x , L y , and L z ) and defining controlled voltage sources (as it is given in [9]) we can construct a circuit where the dynamics of the 'equivalent currents' is the same as the dynamics of magnetization components in the 'real' single-domain magnet. If the quasi-static (adiabatic) behaviour of nanomagnets is of interest, then external fields best represented by currents that drive the nanomagnet, as it is explained in [9]. To connect the equivalent circuit of the magnet to the circuit model of the resonator, it is better to take into account these interactions by inductive couplings, as it is illustrated in Figure 5.…”

“…The model is detailed in [8,9]. With little extension, this circuit can also describe the coupling between the magnet and the resonator.…”