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Advances in Condensed Matter Physics
Volume 2015, Article ID 397630, 4 pages
Research Article

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

National High Magnetic Field Laboratory and Department of Physics, Florida State University, Tallahassee, FL 32306, USA

Received 12 October 2014; Revised 11 February 2015; Accepted 12 February 2015

Academic Editor: Jan A. Jung

Copyright © 2015 Mohammad Pouranvari et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.