Redox-Executed Logic Operations through the Reversible Voltammetric Response Characteristics of Electroactive Self-Assembled Monolayers

We propose charge quantization in electrochemical oxidation-reduction (redox) systems as a route to performing logical operations efficiently and reversibly. The theory is based on the interfacial potential distribution for electrodes coated with electroactive self-assembled molecular films. We monitor the change in the oxidation number by studying the current as a function of the working and reference electrode potentials and of the temperature. Diamond-shaped regions can be defined that delineate the stability of a given redox species as a function of the applied and reference potentials. Using these electrochemical Coulomb diamonds, we then show the principles for the design of a complete set of binary gates and a finite-state set-reset machine. We demonstrate the analogies between these redox systems and nanoscale solid-state systems where the charging energy is finite. Redox systems allow simple logic operations at room temperature because typically the standard potential is higher than the thermal energy.