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Emergent anyons in quantum Hall physics

De Nicolas Rougerie

Apparaît dans la collection : Spectral theory of novel materials / Théorie spectrales des nouveaux matériaux

Anyons are by definition particles with quantum statistics different from those of bosons and fermions. They can occur only in low dimensions, 2D being the most relevant case for this talk. They have hitherto remained hypothetical, but there is good theoretical evidence that certain quasi-particles occuring in quantum Hall physics should behave as anyons.

I shall consider the case of tracer particles immersed in a so-called Laughlin liquid. I will argue that, under certain circumstances, these become anyons. This is made manifest by the emergence of a particular effective Hamiltonian for their motion. The latter is notoriously hard to solve even in simple cases, and well-controled simplifications are highly desirable. I will discuss a possible mean-field approximation, leading to a one-particle energy functional with self-consistent magnetic field.

Informations sur la vidéo

Date de captation 19/04/2016
Date de publication 04/05/2016
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.18961603
Citer cette vidéo Rougerie, Nicolas (19/04/2016). Emergent anyons in quantum Hall physics. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18961603
URL https://dx.doi.org/10.24350/CIRM.V.18961603

Domaine(s)

Bibliographie

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