Transparent boundary conditions for time-dependent electron transport in the R-matrix method with applications to nanostructured interfaces

Abstract

Transparent boundary conditions for the time-dependent Schrodinger equation are implemented using the R-matrix method. The employed scattering formalism is suitable for describing open quantum systems and provides the framework for the time-dependent coherent transport. Transmission and reflection of wave functions at the edges of a finite quantum system are essential for an accurate and efficient description of the time-dependent processes on large time scales. The approach is used here to describe time-dependent transport across nanostructured interfaces relevant for photovoltaic applications.