Entanglement Area Law in Disordered Free Fermion Anderson Model in One, Two, and Three Dimensions

Abstract

We calculate numerically the entanglement entropy of free fermion ground states in one-, two- and three-dimensional Anderson models, and find that it obeys the area law as long as the linear size of the subsystem is sufficiently larger than the mean free path. This result holds in the metallic phase of the three-dimensional Anderson model, where the mean free path is finite although the localization length is infinite. Relation between the present results and earlier ones on area law violation in special one-dimensional models that support metallic phases is discussed.

4 pages, 4 figures, 3 references added

References in corpus (3)

• Entanglement entropy of fermions in any dimension and the Widom conjecture
• Scaling of Entanglement Entropy in the Random Singlet Phase
• On the Area Law for Disordered Free Fermions

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• Kolmogorov complexity as intrinsic entropy of a pure state: Perspective from entanglement in free fermion systems
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• Probing Electron Localization and Delocalization in the Selective Long-Range Tight-Binding Model
• Directional Localization in Disordered 2D Tight-Binding Systems: Insights from Single Particle Entanglement Measures
• Anderson localization: a density matrix approach