“…Memristive behaviour of non-stoichiometric oxides TiO 2 films generally present an insulating behaviour, but the presence of oxygen vacancies at the metalÀoxide interface introduces a peculiar electrical response as circuital elements known as memristance [120]: in some anodic oxides with nanoscale thickness resistivity is a function of current previously travelled through the oxide in the past (from where the memristor term arises), thus showing a bias-dependent bipolar switching response to current. [121,122] This is made possible in TiO 2 by two factors: its defective nature, with oxide stoichiometry varying from TiO 2 to TiO 2Àx , and the possibility of limiting its thickness to few tens of nanometres, as memristance is inversely proportional to the square of the oxide thickness. [123] Memristive devices are opening the way to a new generation of transistor-like devices with easy scaling-down possibilities, as well as nonvolatile memories with fast access and improved data density, and finally to the introduction of synapses in artificial neural networks.…”