Beecroft Building, Department of Physics, University of Oxford, Parks Road, Oxford, OX1 3PU
Mr Tevž Lotric, University of Oxford
Dumitru Calugaru, dumitru.calugaru@physics.ox.ac.uk
Abstract
Phases of anyons in doped fractional Chern insulators
Recent experiments in moiré fractional Chern insulators have reported superconductivity near fractional quantum Hall–like insulating states as the filling fraction is tuned. This raises the possibility that a doped fractional quantum Hall state on a lattice may become superconducting, reviving old ideas about anyon superconductivity.
In this talk I will review the experimental motivation and the basic intuition behind anyon superconductivity, focusing on what properties of lattice systems make this behaviour possible. I will then explain how these ideas can be tested in doped Laughlin-like states on a lattice, both within a mean-field Chern-Simons approach and with variational Monte Carlo. The results shed light on the energetic competition between several possible doped anyonic phases and provide support for anyon superconductivity in the experimentally relevant doped Lauglin state near filling 1/3.