Edge States and Entanglement Entropy

Details Edge States and Entanglement Entropy Edge States and Entanglement Entropy

1995-12-07

arxiv.org/abs/hep-th/9512047v2

Int.J.Mod.Phys. A12 (1997) 625-642

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, minor corrections and futher details added

Scientific paper

10.1142/S0217751X97000578

It is known that gauge fields defined on manifolds with spatial boundaries
support states localized at the boundaries. In this paper, we demonstrate how
coarse-graining over these states can lead to an entanglement entropy. In
particular, we show that the entanglement entropy of the ground state for the
quantum Hall effect on a disk exhibits an approximate ``area " law.

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