Non-perturbative approaches to transport in nanostructures and granular arrays

Abstract

Universal interaction effects in electronic nanostructures are analyzed by means of auxiliary phase field dynamics. Simple analytical non-perturbative approximations are discussed, and are found to capture all expected physical phenomena arising from interactions. Transport through metallic nano-grains and few-level quantum dots in linear response are analyzed in detail. The formal techniques are extended to include exchange interactions and supercon- ductivity in nanostructures. Finally nanostructured arrays, such as granular systems, are discussed with these techniques to explore the interaction-induced metal-insulator transi- tion.