Speaker
Description
This thesis investigates the potential use of the single-particle spectral function as a tool to charac-
terize fractional Chern insulators (FCIs). In particular we have computed the momentum-resolved
spectral function A(k,ω) for a FCI phase realized by a toy model on a Kagome lattice at 1/3
filling. To tackle this problem, we used an exact diagonalization code on a finite-size system
with periodic (twisted) boundaries. We find that the FCI spectrum exhibits a sharp momentum-
independent quasihole peak and a broad particle excitation continuum, both separated by a spec-
tral gap. These features distinguish it from competing charge-ordered states, such as a charge
density wave (CDW), which was also computed during this project in order to have a point of
reference. This result suggests that the spectral function could be used as a probe for topological
order in strongly correlated lattice systems.
