A Lieb-Thirring inequality for extended anyons
Mathematical Physics
2023-01-18 v3 Quantum Gases
math.MP
Abstract
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.
Cite
@article{arxiv.2209.02543,
title = {A Lieb-Thirring inequality for extended anyons},
author = {Théotime Girardot and Nicolas Rougerie},
journal= {arXiv preprint arXiv:2209.02543},
year = {2023}
}