A Lieb-Thirring inequality for extended anyons
Th\'eotime Girardot, Nicolas Rougerie (UMPA-ENSL)
TL;DR
This paper establishes a Lieb-Thirring inequality for extended anyons, showing a form of the Pauli exclusion principle for particles with non-zero flux tube radius and non-trivial statistics in two dimensions.
Contribution
It introduces a Lieb-Thirring inequality for extended anyons, with a constant independent of flux tube radius and proportional to the statistics parameter.
Findings
Proves a Lieb-Thirring inequality for extended anyons.
Constant in inequality is independent of flux tube radius.
Inequality relates to the kinetic energy operator of the system.
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.
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Taxonomy
TopicsAdvanced Thermodynamics and Statistical Mechanics · Quantum and electron transport phenomena · Quantum many-body systems