%0 Journal Article %K Electric fields %K Domain walls %K Ferroelectric materials %K Ferroelectricity %K Ferroelectric domains %K Electric-field control %K Electronic properties %K Digital devices %K Electronic structure %K Inversion layers %K Charge compensation %K Domain wall devices %K Electronic transport %K Electrostatic potentials %K Enhanced conductivity %K Two-dimensional materials %A J.A Mundy %A J Schaab %A Y Kumagai %A A Cano %A M Stengel %A I.P Krug %A D.M Gottlob %A H Doǧanay %A M.E Holtz %A R Held %A Z Yan %A E Bourret %A C.M Schneider %A D.G Schlom %A D.A Muller %A Ramamoorthy Ramesh %A N.A Spaldin %A D Meier %B Nature Materials %D 2017 %G eng %I Nature Publishing Group %P 622-627 %R 10.1038/nmat4878 %T Functional electronic inversion layers at ferroelectric domain walls %V 16 %X Ferroelectric domain walls hold great promise as functional two-dimensional materials because of their unusual electronic properties. Particularly intriguing are the so-called charged walls where a polarity mismatch causes local, diverging electrostatic potentials requiring charge compensation and hence a change in the electronic structure. These walls can exhibit significantly enhanced conductivity and serve as a circuit path. The development of all-domain-wall devices, however, also requires walls with controllable output to emulate electronic nano-components such as diodes and transistors. Here we demonstrate electric-field control of the electronic transport at ferroelectric domain walls. We reversibly switch from resistive to conductive behaviour at charged walls in semiconducting ErMnO 3. We relate the transition to the formation - and eventual activation - of an inversion layer that acts as the channel for the charge transport. The findings provide new insight into the domain-wall physics in ferroelectrics and foreshadow the possibility to design elementary digital devices for all-domain-wall circuitry. © 2017 Macmillan Publishers Limited, part of Springer Nature. All rights reserved.