Clarendon Laboratory, Department of Physics, University of Oxford, Parks Road, Oxford, OX1 3PU
Professor Thierry Giamarchi, University of Geneva
Abstract
The Hall effect, originating from the motion of charged particles in magnetic fields, has deep consequences for the description of materials, extending far beyond condensed matter where it was initially observed.
For non-interacting particles, the Hall resistance has an intrinsic connection with the system's topological invariants.
However, understanding this effect in interacting systems represents a formidable challenge, even for small magnetic fields.
I will report here on recent progress, both analytical and numerical, for ladders of interacting bosons and fermions and the possibility of implementing measurements of the Hall effect via quantum simulations in ultracold atoms, where synthetic dimensions and synthetic gauge fields have allowed for the realization of such systems.