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Central Limit Theorem for the entanglement entropy of free disordered fermions

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No logo availableBanff International Research Station (BIRS) for Mathematical Innovation and Discovery
 Shcherbina, Mariya

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Central Limit Theorem for the entanglement entropy of free disordered fermions
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We consider the macroscopic disordered system of free lattice fermions with the one-body Hamiltonian, which is the Schrödinger operator with i.i.d. potential in d>1. Assuming that the fractional moment criteria for the Anderson localization is satisfied, we prove Central Limit Theorem for the large block entanglement entropy.