Even though the half-plane Landau Hamiltonian has purely absolutely continuous spectrum, its ground-state entanglement entropy satisfies a strict area law, and for regions away from the boundary it matches the full-plane coefficient.
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Entanglement entropy of ground states of the Landau Hamiltonian on the half-plane
Even though the half-plane Landau Hamiltonian has purely absolutely continuous spectrum, its ground-state entanglement entropy satisfies a strict area law, and for regions away from the boundary it matches the full-plane coefficient.