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.

References in corpus (5)

• Transient regime in non-linear transport through many-level quantum dots
• Stepwise introduction of model complexity in a generalized master equation approach to time-dependent transport
• Non-adiabatic transport in a quantum dot turnstile
• Conductance oscillations of core-shell nanowires in transversal magnetic fields
• Time-dependent magnetotransport of a wave packet in a quantum wire with embedded quantum dots