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Title: 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.

Authors:
 [1];  [1];  [1]
  1. Florida State Univ., Tallahassee, FL (United States). National High Magnetic Field Lab. and Dept. of Physics
Publication Date:
Research Org.:
Florida State Univ., Tallahassee, FL (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1239168
Alternate Identifier(s):
OSTI ID: 1459161
Grant/Contract Number:  
SC0002140
Resource Type:
Published Article
Journal Name:
Advances in Condensed Matter Physics
Additional Journal Information:
Journal Volume: 2015; Journal ID: ISSN 1687-8108
Publisher:
Hindawi
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Pouranvari, Mohammad, Zhang, Yuhui, and Yang, Kun. Entanglement Area Law in Disordered Free Fermion Anderson Model in One, Two, and Three Dimensions. United States: N. p., 2015. Web. doi:10.1155/2015/397630.
Pouranvari, Mohammad, Zhang, Yuhui, & Yang, Kun. Entanglement Area Law in Disordered Free Fermion Anderson Model in One, Two, and Three Dimensions. United States. doi:10.1155/2015/397630.
Pouranvari, Mohammad, Zhang, Yuhui, and Yang, Kun. Thu . "Entanglement Area Law in Disordered Free Fermion Anderson Model in One, Two, and Three Dimensions". United States. doi:10.1155/2015/397630.
@article{osti_1239168,
title = {Entanglement Area Law in Disordered Free Fermion Anderson Model in One, Two, and Three Dimensions},
author = {Pouranvari, Mohammad and Zhang, Yuhui and Yang, Kun},
abstractNote = {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.},
doi = {10.1155/2015/397630},
journal = {Advances in Condensed Matter Physics},
number = ,
volume = 2015,
place = {United States},
year = {2015},
month = {2}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1155/2015/397630

Citation Metrics:
Cited by: 2 works
Citation information provided by
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