Bulk-Boundary Correspondence in the Quantum Hall Effect

Understand

We present a detailed microscopic study of edge excitations for n filled Landau levels.

• We show that the higher-level wavefunctions possess a non-trivial radial dependence that should be integrated over for properly defining the edge conformal field theory.
• This analysis let us clarify the role of the electron orbital spin s in the edge theory and to discuss its universality, thus providing a further instance of the bulk-boundary correspondence.
• We find that the values s_i for each level, i=1,...,n, parameterize a Casimir effect or chemical potential shift that could be experimentally observed.