Is it possible to understand the topological properties of twistronic systems using a real-space theoretical framework? And can such a framework be extended to interacting systems that can exhibit topological order? If such an approach is possible and generalizable, it would represent a paradigm shift for the field of topological physics.

Over the past two decades, topological phenomena have emerged as a central theme in physical systems and materials research. However, these phenomena are almost always understood in terms of a system's global, bulk properties. The goal of this project is to develop local, real-space methods for classifying a system's and/or state's topology and other physical properties. Within this broad goal, the scope of this project is open to being defined by the successful candidate. This project could take the form of deriving new local markers and other local theoretical probes for twistronic systems. Another option would be to develop local marker algorithms compatible with standard simulation techniques of real materials, and then applying these techniques to a variety of materials that cannot be topologically classified using known theoretical methods. Yet another possibility would be to extend known local topological markers to toy models of interacting systems.

If you are interested in this opportunity, please do not hesitate to reach out; being a postdoc at Sandia has some significant benefits, and this position is entirely dedicated to fundamental science and mathematics with plenty of room for intellectual freedom.

You can also apply on Sandia's postdoc website, it is the position titled "Postdoctoral Appointee - Real-Space Approaches to Topological Materials," job ID 691078.

(Note, there are no citizenship requirements on this position, it is available to US citizens and non-citizens alike. The Center for Integrated Nanotechnologies hosts a vibrant and diverse group of scientists and mathematicians from all over the globe.)

Principal Investigator

Alexander Cerjan


Stephan Manua Wong, 2022-present.

Graduate Students

José Garcia (UNM, primary advisor Terry Loring), 2022-present.


Louis Shogo Hight (UNM, through DOE SULI program), 2023-present

Dominic Cordova (UNM), 2023


Kahlil Yusef Dixon-Whyte, Postdoc 2021-2023, now at Northrop Grumman.