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Nanomagnetic logic transmits information along a path of nanomagnets. Thebasic mechanism to drive such a transmission, known as clocking, can beachieved by exploiting the spin-Hall effect, as recently observed inexperiments on Ta/CoFeB/MgO multilayers [D. Bhowmik, et al., Nat. Nano. 9, 59(2013)]. This paper shows the fundamental mechanism of the spin-Hall drivenclocking by using a full micromagnetic framework and considering two differentdevices, Ta/CoFeB/MgO and Pt/CoFeB/MgO. The former is used for a directcomparison of the numerical results with the experiments while the latterpermits to predict the effect of the Dzyaloshinskii-Moriya interaction (DMI) inthe clocking mechanism. Results show that the clocking state is non-uniform andit is characterized by the presence of domains separated by Bloch (N\'eel)domain walls depending on the absence (presence) of the DMI. Our findings pointout that for the design of nanomagnetic logic a full micromagnetic approach isnecessary.

Nanomagnetic logic with non-uniform states of clocking