Transport through quantum dots: An introduction via master equation simulations

In this work, we present a master equation approach to simulating DC transport through single electron transistors and quantum dots suitable for an upper-division undergraduate computational physics project. After introducing the basic theory describing transport through quantum dots, we present a simulation of the simple case of a metallic dot including effects due to the finite temperature of the leads. Building on this example, we simulate published data with orbital and spin states. We envision students building on these simulations to replicate other data in the published literature. Projects of this type would be suitable for an undergraduate independent study or computational project and will give students a strong introduction to the topic of transport through quantum dots without the need for expensive cryogenic and electrical measurement systems or device fabrication necessary for experimental work.