Ferroelectric Domain Wall Logic Gates

Fundamentally, lithium niobate is an extremely good electrical insulator. However, this can change dramatically when 180{\deg} domain walls are present, as they are often found to be strongly conducting. Absolute conductivities depend on the inclination angles of the walls with respect to the [001] polarisation axis and so, if these inclination angles can be altered, then electrical conductivities can be tuned, or even toggled on and off. In 500nm thick z-cut ion-sliced thin films, localised wall angle variations can be controlled by both the sense and magnitude of applied electrical bias. We show that this results in a diode-like charge transport response which is effective for half-wave rectification, albeit only at relatively low ac frequencies. Most importantly, however, we also demonstrate that such domain wall diodes can be used to construct "AND" and inclusive "OR" logic gates, where "0" and "1" output states are clearly distinguishable. Realistic device modelling allows an extrapolation of results for the operation of these domain wall diodes in more complex arrangements and, although non-ideal, output states can still be distinguished even in two-level cascade logic. Although conceptually simple, we believe that our experimental demonstration of operational domain wall-enabled logic gates represents a significant step towards the future broader realisation of "domain wall nanoelectronics".