Electric field response of strongly correlated one-dimensional metals: a Bethe-Ansatz density functional theory study
Citation:
A. Akande and S. Sanvito, Electric field response of strongly correlated one-dimensional metals: a Bethe-Ansatz density functional theory study, Physical Review B, 82, 2010, 245114-Download Item:
Abstract:
We present a theoretical study on the response properties to an external electric field of strongly correlated
one-dimensional metals. Our investigation is based on the recently developed Bethe ansatz local-density
approximation
BALDA
to the density functional theory formulation of the Hubbard model. This is capable of
describing both Luttinger liquid and Mott-insulator correlations. The BALDA calculated values for the static
linear polarizability are compared with those obtained by numerically accurate methods, such as exact
Lanc-
zos
diagonalization and the density-matrix renormalization group, over a broad range of parameters. In
general BALDA linear polarizabilities are in good agreement with the exact results. The response of the exact
exchange and correlation potential is found to point in the same direction of the perturbing potential. This is
well reproduced by the BALDA approach, although the fine details depend on the specific parameterization for
the local approximation. Finally we provide a numerical proof for the nonlocality of the exact exchange and
correlation functional
Sponsor
Grant Number
Science Foundation Ireland (SFI)
SFI05/RFP/PHY0062
Science Foundation Ireland (SFI)
07/IN.1/I945
Author's Homepage:
http://people.tcd.ie/sanvitosDescription:
PUBLISHED
Author: SANVITO, STEFANO
Type of material:
Journal ArticleCollections
Series/Report no:
Physical Review B82
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PhysicsSubject (TCD):
Nanoscience & MaterialsDOI:
http://dx.doi.org/10.1103/PhysRevB.82.245114Metadata
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