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

Journal Article · · Advances in Condensed Matter Physics
DOI:https://doi.org/10.1155/2015/397630· OSTI ID:1239168
 [1];  [1];  [1]
  1. Florida State Univ., Tallahassee, FL (United States). National High Magnetic Field Lab. and Dept. of Physics
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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.

Research Organization:
Florida State Univ., Tallahassee, FL (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
SC0002140
OSTI ID:
1239168
Alternate ID(s):
OSTI ID: 1459161
Journal Information:
Advances in Condensed Matter Physics, Journal Name: Advances in Condensed Matter Physics Vol. 2015; ISSN 1687-8108
Publisher:
HindawiCopyright Statement
Country of Publication:
Egypt
Language:
English
Citation Metrics:
Cited by: 7 works
Citation information provided by
Web of Science

References (10)

Violation of the Entropic Area Law for Fermions journal January 2006
Scaling of entanglement entropy in the random singlet phase journal October 2005
Area Law Scaling for the Entropy of Disordered Quasifree Fermions journal October 2014
Violation of the Entanglement Area Law in Bosonic Systems with Bose Surfaces: Possible Application to Bose Metals journal November 2013
Maximally entangled mode, metal-insulator transition, and violation of entanglement area law in noninteracting fermion ground states journal March 2014
Reduced density matrices and entanglement entropy in free lattice models journal December 2009
Calculation of reduced density matrices from correlation functions journal March 2003
Entanglement Entropy in a One-Dimensional Disordered Interacting System: The Role of Localization journal April 2012
Entanglement Entropy and the Fermi Surface journal July 2010
Entanglement Entropy of Fermi Liquids via Multidimensional Bosonization journal March 2012

Figures / Tables (4)

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FIGURE 4(p. 3)figure FIGURE 4

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Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY