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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. 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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https://hal.archives-ouvertes.fr/hal-03769548
Contributor : Théotime GIRARDOT Connect in order to contact the contributor
Submitted on : Wednesday, October 5, 2022 - 10:50:25 AM
Last modification on : Wednesday, October 5, 2022 - 12:00:22 PM

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L_T_for_any_v10-Sep22.pdf
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  • HAL Id : hal-03769548, version 2
  • ARXIV : 2209.02543

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Théotime Girardot, Nicolas Rougerie. A LIEB-THIRRING INEQUALITY FOR EXTENDED ANYONS. {date}. ⟨hal-03769548v2⟩

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