10th Bologna Workshop on Conformal Field Theory and Integrable Models

Conformal field theory at the edge of Quantum Hall droplets

7 Sept 2023, 10:20

30m

Aula Magna (Dept. of Physics and Astronomy - University of Bologna)

Talk (30 min) Bologna Workshop CFT-IM

Speaker

Jean-Marie Stéphan (Institut Camille Jordan, CNRS)

Description

I discuss several aspects related to the edge behavior of 2d integer quantum Hall droplets of arbitrary shapes, and its relation to two-dimensional Coulomb gases at a specific inverse temperature.
Both systems can be mapped onto free fermions, with single particle wave functions which can be determined exactly in the limit of large particle number. It is well known that the two problems can be described by a simple conformal field theory, but I will discuss subtle differences between their correlation functions. If time permits I will also discuss how such edge modes can affect entanglement scaling.

Presentation materials

Bologna.pdf