by

Ciro Santilli (@cirosantilli, 34)

Anyon (experimental: 2020, 2D only)

The name actually comes from "any". Amazing.

Can only exist in 2D surfaces, not 3D, where fermions and bosons are the only options.

All known anyons are quasiparticles.

Table of contents
- Abelian an non abelian anyons Anyon
  - Abelian anyon Abelian an non abelian anyons
  - Non Abelian anyon Abelian an non abelian anyons

Abelian an non abelian anyons

Abelian anyon

On particle exchange:

ψ = e^{θ i} ψ

so it is a generalization of bosons and fermions which have

θ = 0

and

θ = π

respectively.

Key physical experiment: fractional quantum Hall effect.

Non Abelian anyon

Exotic and hard to find experimentally.

Topological quantum computation by Jason Alicea (2021)

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