Bulk-Boundary Correspondence in the Quantum Hall Effect
arXiv:1801.03759 · doi:10.1088/1751-8121/aad0ab
Abstract
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. These results are generalized to fractional and hierarchical fillings by exploiting the W-infinity symmetry of incompressible Hall fluids.
41 pages, 5 figures; updated analysis of physical setting and discussion of universality
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