Research Interests

I am a PhD student working with Rex Godby on fundamental quantum theory. Our group is part of the larger Condensed Matter Physics Institute (CMPI) within the Department of Physics at the University of York.

Our group's research is primarily focused on time-dependent systems of interacting electrons. Our goal is to develop theories able to accurately predict electron currents through single molecules. Our approach is the detailed study of model systems of several electrons that, using efficient computational techniques, can be solved exactly. This information is used to highlight, understand and quantify the failings of standard approximations, thus informing the development of improved novel methods.

To date, we have developed a method of identifying features in the exact time-dependent Kohn-Sham potential, which are missing from commonly used approximations, for finite one-dimensional systems of a few electrons (i.e. where the exact electron density can be calculated from many-body quantum mechanics).

I co-develop the iDEA code, which can model simple systems that demonstrate general phenomena that occur in extended systems. This code has the ability to calculate the exact properties (both static and time-dependent) of model systems along with many established and novel approximations both within density functional theory (DFT) and many-body perturbation theory (MBPT).

My main research aim is to improve, and develop new approximations in time dependent density functional theory using the framework of many-body perturbation theory via novel approximations and corrections to the self-energy, and apply these to correlation, entaglement and decoherance in quantum systems.

Information for group members only can be found on the group webpage, and information on how to use the iDEA code via the iDEA webpage.