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

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.
Authors:
 [1] ;  [1] ;  [1]
  1. National High Magnetic Field Laboratory and Department of Physics, Florida State University, Tallahassee, FL 32306, USA
Publication Date:
OSTI Identifier:
1239168
Grant/Contract Number:
SC0002140
Type:
Published Article
Journal Name:
Advances in Condensed Matter Physics
Additional Journal Information:
Journal Volume: 2015; Related Information: CHORUS Timestamp: 2016-07-27 09:12:42; Journal ID: ISSN 1687-8108
Publisher:
Hindawi Publishing Corporation
Sponsoring Org:
USDOE
Country of Publication:
Egypt
Language:
English