Stability of the Laughlin phase in presence of interactions (Alessandro Olgiati, CNRS Grenoble)

28.10.2019 16:15

The Laughlin wave function is at the basis of the description of the fractional quantum Hall effect (FQHE), nevertheless, many of its fundamental properties are yet to be understood. After an introduction to Laughlin theory, I will present a model for the response of FQHE charge carriers to variations of the external potential and of the inter-particle interaction.
Our main result is that the energy is asymptotically captured by the minimum of an effective functional with variational constraints fixed by the incompressibility of the Laughlin phase. Moreover, as was already known for the non-interacting case, we show that the one-body density converges to the characteristic function of a set.
Joint work with Nicolas Rougerie.

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Room 17, Séminaire "Mathématique Physique"

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