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A LIEB-THIRRING INEQUALITY FOR EXTENDED ANYONS

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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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Dates and versions

hal-03769548 , version 1 (05-09-2022)
hal-03769548 , version 2 (05-10-2022)
hal-03769548 , version 3 (02-01-2023)

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Théotime Girardot, Nicolas Rougerie. A LIEB-THIRRING INEQUALITY FOR EXTENDED ANYONS. 2022. ⟨hal-03769548v1⟩
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