QLunch: Théotime Pierrot Girardot
Speaker: Théotime Pierrot Girardot
Title: A LIEB-THIRRING INEQUALITY FOR EXTENDED ANYONS
Abstract:
We derive a Pauli exclusion principle for extended fermion-based anyons of any positive radius and any non-trivial statistics parameter. We consider N 2D fermionic particles coupled to magnetic flux tubes of non-zero radius, and prove a Lieb-Thirring inequality for the corresponding many-body kinetic energy operator. The implied constant is independent of the radius of the flux tubes, and proportional to the statistics parameter.