Area Law Scaling for the Entropy of Disordered Quasifree Fermions
Area Law Scaling for the Entropy of Disordered Quasifree Fermions
We study theoretically and numerically the entanglement entropy of the $d$-dimensional free fermions whose one body Hamiltonian is the Anderson model. Using basic facts of the exponential Anderson localization, we show first that the disorder averaged entanglement entropy $\langle S_\Lambda \rangle$ of the $d$ dimension cube $\Lambda$ of side length …