Subject : "Metal-insulator transitions in correlated systems with disorder"

 

Any sample of a material contains impurities, vacancies, and other imperfections and most interesting phenomena in strongly correlated materials, e.g., superconductivity, various metal-insulator transitions, magnetoresistance or large thermo-electric effects, arise under chemical doping which, besides charge carriers, also introduces disorder.

 

In this project, the successul candidate will devise and implement new methodologies to account for effects of disorder in strongly correlated materials by developing a new approach that combines Dynamical Mean-Field Theory (DMFT)-based many-body technique with statistical methods, like the forward approximation (FA). The candidate will first investigate the metal-insulator phase-diagram of this Anderson-Hubbard model on a finite Cayley tree and then on several lattices in dimension d=2 and 3. Ultimately, this new approach may be applied to first-principles Hamiltonians in order to perform realistic calculations for correlated materials with disorder.

 

More details can be found in the enclosed document.

 

Supervisor : Cyril MARTINS ([email protected])

 

Laboratory : Laboratoire de Chimie et Physique Quantiques (LCPQ), Université Toulouse III – Paul Sabatier, Toulouse, France

 

Expected starting date : Fall 2024

 

 

- Master degree in theoretical physics or condensed matter physics.
- A good knowledge of basic concepts in many-body quantum physics (Green’s function formalism or in statistical physics (Anderson localization) would be greatly appreciated.
- Skills in at least one programming language among Fortran, Python and or C/C++ ; some experience of working in a UNIX/Linux environment and of using supercomputers would be appreciated.
- Excellent communication skills in English.

 

Funding : This project is supported by the National Research Agency (ANR) (ANR-22-CE91-0002-01)

 

How to apply : Applications should be submitted to Cyril MARTINS ([email protected]). They must include a CV highlighting the skills required for the research project and a description of the Master’s internship.
Contact details of the M2 internship supervisor should be provided.