Hausdorff dimension and anyonic distribution functions
Wellington da Cruz
TL;DR
This paper derives distribution functions for anyonic excitations categorized by Hausdorff dimension and applies these to collective excitations in the Fractional Quantum Hall Effect.
Contribution
It introduces a novel classification of anyonic excitations using Hausdorff dimension and derives their distribution functions, providing new insights into FQHE excitations.
Findings
Distribution functions for anyonic excitations classified by Hausdorff dimension.
Application of these functions to FQHE collective excitations.
New framework for understanding anyonic systems.
Abstract
We obtain the distribution functions for anyonic excitations classified into equivalence classes labeled by Hausdorff dimension, and as an example of such anyonic systems, we consider the collective excitations of the Fractional Quantum Hall Effect (FQHE).
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMathematical Dynamics and Fractals · advanced mathematical theories · Mathematical and Theoretical Analysis