[en] Using a plane-wave pseudopotential approach to density functional theory we investigate the electron localization length in various oxides. For this purpose, we first set up a theory of the band-by-band decomposition of this quantity, more complex than the decomposition of the spontaneous polarization (a related concept), because of the interband coupling. We show its interpretation in terms of Wannier functions and clarify the effect of the pseudopotential approximation. We treat the case of different oxides: BaO, alpha-PbO, BaTiO3, and PbTiO3. We also investigate the variation of the localization tensor during the ferroelectric phase transitions of BaTiO3 as well as its relationship with the Born effective charges.
Disciplines :
Physics
Author, co-author :
Veithen, M.
Gonze, X.
Ghosez, Philippe ; Université de Liège - ULiège > Département de physique > Physique théorique des matériaux
Language :
English
Title :
Electron localization: Band-by-band decomposition and application to oxides
Publication date :
2002
Journal title :
Physical Review. B, Condensed Matter and Materials Physics
ISSN :
1098-0121
eISSN :
1550-235X
Publisher :
American Physical Society, Woodbury, United States - New York
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Bibliography
W. Kohn, Phys. Rev. 133, A171 (1964).
R.D. King-Smith and D. Vanderbilt, Phys. Rev. B 47, 1651 (1993).
D. Vanderbilt and R.D. King-Smith, Phys. Rev. B 48, 4442 (1993).
R. Resta, Rev. Mod. Phys. 66, 899 (1994).
G. Ortiz and R.M. Martin, Phys. Rev. B 49, 14 202 (1994).
R. Resta, Phys. Rev. Lett. 80, 1800 (1998).
R. Resta and S. Sorella, Phys. Rev. Lett. 82, 370 (1999).
A.A. Aligia and G. Ortiz, Phys. Rev. Lett. 82, 2560 (1999).
R. Resta, J. Phys.: Condens. Matter 14, R625 (2002).
I. Souza, T. Wilkens, and R.M. Martin, Phys. Rev. B 62, 1666 (2000).
C. Sgiarovello, M. Peressi, and R. Resta, Phys. Rev. B 64, 115202 (2001).
P. Hohenberg and W. Kohn, Phys. Rev. 136, B864 (1964).
W. Kohn and L.J. Sham, Phys. Rev. 140, A1133 (1965).
N. Marzari and D. Vanderbilt, Phys. Rev. B 56, 12 847 (1997).
N. Marzari and D. Vanderbilt, in First-Principles Calculations for Ferroelectrics, edited by R. E. Cohen, AIP Conf. Proc. No. 436 (AIP, Woodbury, 1998), p. 146.
M. Posternack, A. Baldereschi, H. Krakauer, and R. Resta, Phys. Rev. B 55, 15 983 (1997).
Ph. Ghosez, J.-P. Michenaud, and X. Gonze, Phys. Rev. B 58, 6224 (1998).
Ph. Ghosez, X. Gonze, Ph. Lambin, and J.-P. Michenaud, Phys. Rev. B 51, 6765 (1995).
Ph. Ghosez and X. Gonze, J. Phys.: Condens. Matter 12, 9179 (2000).
〈⋯〉n represents the expectation value over the nth occupied Wannier function in the unit cell.
W.A. Harrison, Electronic Structure and the Properties of Solids (W. H. Freeman, San Fransisco, 1980).
C.B. Van de Walle and P.E. Blöchl, Phys. Rev. B 47, 4244 (1993).
ABINIT [X. Gonze et al., Comput. Mater. Sci. 25, 478 (2002)] is a common project of the Université Catholique de Louvain, Corning Incorporated, and other contributors (URL http:// www.abinit.org). It relies on an efficient fast Fourier transform algorithm (Ref. 24) for the conversion of wave functions between real and reciprocal space, on the adaptation to a fixed potential of the band-by-band conjugate gradient method (Ref. 25) and on a potential-based conjugated-gradient algorithm for the determination of the self-consistent potential (Ref. 26). In addition to usual ground-state calculations it allows linear-response computations of the phonon frequencies, Born effective charges and dielectric constants (Refs. 27,28).
S. Goedecker, SIAM (Soc. Ind. Appl. Math.) J. Sci. Stat. Comput. 18, 1605 (1997).
G.W. Watson, S.C. Parker, and G. Kresse, Phys. Rev. B 59, 8481 (1999).
R.D. King-Smith and D. Vanderbilt, Phys. Rev. B 49, 5828 (1994).
In α-PbO, the optical axis is perpendicular to the atomic layers.
The Born effective charges are in general compared to an isotropic nominal value that is the charge expected in a purely ionic compound. All deviations with respect to this reference nominal value are referred to as anomalous.
M. Veithen and Ph. Ghosez, AIP Conf. Proc. 626, 208 (2002).
F. Bassani and G. Pastori Parravicini, Electronic States and Optical Transitions in Solids (Pergamon, Oxford, 1975).
X. Gonze, Phys. Rev. A 52, 1096 (1995).
P. Pertosa and F.M. Michel-Calendini, Phys. Rev. B 17, 2011 (1978).
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