Large block properties of the entanglement entropy of free disordered fermions

Mariya Shcherbina
National Academy of Sciences of Ukraine
Department of mathematical physics

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 the Surface Law of Large Numbers and the Central Limit Theorem for the large block entanglement entropy.

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