A LIEB-THIRRING INEQUALITY FOR EXTENDED ANYONS

Théotime Girardot (1) , Nicolas Rougerie (2)

1 Aarhus University [Aarhus]
2 UMPA-ENSL - Unité de Mathématiques Pures et Appliquées

We derive a Pauli exclusion principle for extended fermion-based anyons of any positive radius and any non-trivial statistics parameter. That is, we consider 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.

Domains: Quantum Gases [cond-mat.quant-gas]; Mathematical Physics [math-ph]; Mathematical Physics [math-ph]

Théotime Girardot, Nicolas Rougerie. A LIEB-THIRRING INEQUALITY FOR EXTENDED ANYONS. Letters in Mathematical Physics, 2023, 113, pp.6. ⟨hal-03769548v3⟩