Subgroups

Static and Dynamic Disorder in Semiconductors (SDDS)

In semiconductor, whether they are III-N alloys, organic materials, or perovskites, carrier localization of charge carriers at the nanoscale plays a major role in determining the transport, light absorption or generation properties. Understanding (and being able to predict) the structure of quantum states in these materials is key to ultimately increase the performances of modern optoelectronic devices such as LED or solar cells. Whether it originates from structural (static) or thermal (dynamic) disorder, carrier localization usually requires solving the Schrödinger equation to obtain the spatial electronic and hole densities. In addition, electron and hole states are coupled by Coulomb interaction through the Poisson equation. The aim of this group is to investigate the role of quantum localization in this many-body interacting problem, and to determine in particular how the localization landscape may provide an efficient and accurate approach to computing the various properties of these materials.

  • PI Leaders: Richard Friend and Marcel Filoche
  • Subgroup Members: Lior Alon, Aaron Moser, Jaume De Dios Pont, Vikram Giri, Gabriel Hayoun, Margaux Vrech, Tsung Yin Tsai, Tanay Tak, Camille Fornos, Alistair Rowe, Wei Wang, Iris Liu, Jean-Philippe Banon, Bingcan Li, Alioune Seye, Arjun Ashoka, Chuning Wang, Laura Shou, Qile Yan, David Gaspard, Christian Roubert
  • PIs: Svitlana Mayboroda, Claude Weisbuch, James Speck, Guy David, David Jerison, Doug Arnold

Geometry and Disorder

This group investigates two aspects of the Simons collaboration: the first is related to Geometric Measure Theory. This includes standard GMT issues such as the study of free boundary problems or regularity results for epiperimetric sets in convex domains, but also relations between elliptic measure and the regularity of PDE's in relation to the geometry of the domains where they are defined. Secondly, the group investigates the deep connections between random media and waves localization. With the help of methods coming from probability theory (percolation, random walk in random environment, homogenization, spin systems, etc), it aims at improving our understanding of the landscape function and related central questions raised by the Simons Collaboration.

  • PI Leaders: Guy David and Hugo Duminil
  • Subgroup Members: Polina Perstneva, Yana Teplitskaya, Alberto Pacati, Aaron Moser, Jaume De Dios Pont, Angélique Campaniello, Vikram Giri, Stefano Decio, Johannes Hosle, Florian Schweiger, Lior Alon, Max Engelstein, Wei Wang, Laura Shou
  • PIs: Svitlana Mayboroda, David Jersion, Marcel Filoche

Cold atoms in optical disorder: a simulator for quantum particles localization

In the spirit of Feynman's landmark paper, we use an ensemble of ultra-cold atoms in a laser speckle to study Anderson localization of quantum particles in a controlled disorder. We can vary dimensionality and control interactions between particles. The aim of the group is to compare the experimental findings and their standard theoretical interpretations with the landscape approach, and evaluate the new possibilities offered by the landscape theory.

  • Subgroup Leader: Alain Aspect
  • Subgroup Members: Thomas Bourdel, Margaux Vrech, Alon Lior, Frederic Dias, Vincent Josse, Wei Wang, Jean-Philippe Banon, Lucas Lavoine, Hao Mai Quach, Laura Shou, Niranjan Myeni
  • PIs: David Jerison, Marcel Filoche, Doug Arnold, Svitlana Mayboroda