Anderson localization and momentum-space entanglement

Understand

We consider Anderson localization and the associated metal-insulator transition for non-interacting fermions in D = 1, 2 space dimensions in the presence of spatially correlated on-site random potentials.

• To assess the nature of the wavefunction, we follow a recent proposal to study momentum-space entanglement.
• For a D = 1 model with long-range disorder correlations, both the entanglement spectrum and the entanglement entropy allow us to clearly distinguish between extended and localized states based upon a single realization of disorder.
• However, for other models including the D = 2 case with long-range correlated disorder, we find that the method is not similarly successful.