Domaines
Condensed matter
Nouveaux états électroniques de la matière corrélée
Topological materials, Quantum Transport, Cavity Quantum Electrodynamics
Type of internship
Théorique, numérique Description
Because topological classifications do not depend on translational invariance, there is no reason why they could not extend from crystalline to amorphous materials, since the latter crucially differ from the former only by lacking long-range translational order. Motivated by this, a few recent works have found topological states in amorphous systems, both in theory and in experiment. Intriguingly, amorphousness may stabilize topological states with increased robustness, while the fact that some symmetries survive on average in these disordered systems in principle allows a zoo of symmetry-protected topological states which are analogous, but different, than their crystalline counterparts. A key challenge remains how to identify and distinguish various amorphous topological superconducting states.
In this internship, we would like to investigate one of the oldest toy models for amorphous matter, an enriched Weaire-Thorpe (WT) model to ensure non-trivial chiral topological states. We have recently shown using adiabatic arguments and computationally efficient topological indicators, how to predict the topological phase diagram of the amorphous state from the crystalline one. We want to extend that to superconductors.
Contact
Pascal SIMON