Internship and thesis proposals
Fractional Chern insulator and quantum geometry

Domaines
Condensed matter
Low dimension physics
Nouveaux états électroniques de la matière corrélée
Topological materials, Quantum Transport, Cavity Quantum Electrodynamics
Nanophysics, nanophotonics, 2D materials and van der Waals heterostructures,, surface physicss, new electronic states of matter

Type of internship
Théorique, numérique
Description
Recent discoveries have shown that fractional Chern insulator phases can emerge in two-dimensional systems even without an external magnetic field. These phases share many features with the fractional quantum Hall effect and reveal deep connections between flat topological bands and Landau levels. A key open question is understanding what conditions in a band structure allow such exotic states to form. This project aims to study fractional Chern insulators in a model that lacks intrinsic band topology. Contrary to previous assumptions that nontrivial topology is essential, recent findings suggest that fractional states may also appear in topologically trivial bands. By examining a system with strong quantum geometry and Berry curvature but a zero Chern number, the work will investigate whether a fractional Chern state can arise and how geometric and curvature effects contribute to its stability.

Contact
Christophe Mora
01 57 27 62 44


Email
Laboratory : MPQ - 7162
Team : THEORIE
Team Website
/ Thesis :    Funding :