2014/08/31 by Mohammad Pouranvari, Yuhui Zhang, Kun Yang · 1 citation
Physics and Astronomy · #cond-mat.str-el
paper · pdf · doi:10.1155/2015/397630
published as Advances in Condensed Matter Physics, 2015, 397630 (2015) · 4 pages, 4 figures, 3 references added
arxiv created 2015/03/09 · arxiv updated 2015/03/17
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.