Veithen, M
Gonze, Xavier
[UCL]
Ghosez, P.
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.
- Kohn Walter, Theory of the Insulating State, 10.1103/physrev.133.a171
- King-Smith R. D., Vanderbilt David, Theory of polarization of crystalline solids, 10.1103/physrevb.47.1651
- Vanderbilt David, King-Smith R. D., Electric polarization as a bulk quantity and its relation to surface charge, 10.1103/physrevb.48.4442
- Resta Raffaele, Macroscopic polarization in crystalline dielectrics: the geometric phase approach, 10.1103/revmodphys.66.899
- G. Ortiz, Phys. Rev. B, 49, 14 (1994)
- Resta Raffaele, Quantum-Mechanical Position Operator in Extended Systems, 10.1103/physrevlett.80.1800
- Resta Raffaele, Sorella Sandro, Electron Localization in the Insulating State, 10.1103/physrevlett.82.370
- Aligia A. A., Ortiz G., Quantum Mechanical Position Operator and Localization in Extended Systems, 10.1103/physrevlett.82.2560
- R. Resta, J. Phys.: Condens. Matter, 14, R625 (2002)
- Souza Ivo, Wilkens Tim, Martin Richard M., Polarization and localization in insulators: Generating function approach, 10.1103/physrevb.62.1666
- Sgiarovello Claudia, Peressi Maria, Resta Raffaele, Electron localization in the insulating state: Application to crystalline semiconductors, 10.1103/physrevb.64.115202
- Hohenberg P., Kohn W., Inhomogeneous Electron Gas, 10.1103/physrev.136.b864
- Kohn W., Sham L. J., Self-Consistent Equations Including Exchange and Correlation Effects, 10.1103/physrev.140.a1133
- N. Marzari, Phys. Rev. B, 56, 12 (1997)
- N. Marzari, AIP Conf. Proc. (1998)
- Venkatesh R., Gopala Rao R. V., Elastic and other associated properties ofC60, 10.1103/physrevb.55.15
- Ghosez Ph., Michenaud J.-P., Gonze X., Dynamical atomic charges: The case ofABO3compounds, 10.1103/physrevb.58.6224
- Ghosez Ph., Gonze X., Lambin Ph., Michenaud J.-P., Born effective charges of barium titanate: Band-by-band decomposition and sensitivity to structural features, 10.1103/physrevb.51.6765
- Ph. Ghosez, J. Phys.: Condens. Matter, 12, 9179 (2000)
- Van de Walle Chris G., Blöchl P. E., First-principles calculations of hyperfine parameters, 10.1103/physrevb.47.4244
- Gonze X., Beuken J.-M., Caracas R., Detraux F., Fuchs M., Rignanese G.-M., Sindic L., Verstraete M., Zerah G., Jollet F., Torrent M., Roy A., Mikami M., Ghosez Ph., Raty J.-Y., Allan D.C., First-principles computation of material properties: the ABINIT software project, 10.1016/s0927-0256(02)00325-7
- S. Goedecker, SIAM (Soc. Ind. Appl. Math.) J. Sci. Stat. Comput., 18, 1605 (1997)
- Payne M. C., Teter M. P., Allan D. C., Arias T. A., Joannopoulos J. D., Iterative minimization techniques forab initiototal-energy calculations: molecular dynamics and conjugate gradients, 10.1103/revmodphys.64.1045
- Gonze Xavier, Towards a potential-based conjugate gradient algorithm for order-Nself-consistent total energy calculations, 10.1103/physrevb.54.4383
- X. Gonze, Phys. Rev. B, 55, 10 (1997)
- Sugiyama Kazuhiko, Yoda Jun, Production ofYbH+by chemical reaction ofYb+in excited states withH2gas, 10.1103/physreva.55.r10
- Monkhorst Hendrik J., Pack James D., Special points for Brillouin-zone integrations, 10.1103/physrevb.13.5188
- Teter Michael, Additional condition for transferability in pseudopotentials, 10.1103/physrevb.48.5031
- Ghosez Ph., Gonze X., Michenaud J. -P., First-principles characterization of the four phases of barium titanate, 10.1080/00150199908007992
- Watson G. W., Parker S. C., Kresse G., Ab initiocalculation of the origin of the distortion of α-PbO, 10.1103/physrevb.59.8481
- King-Smith R. D., Vanderbilt David, First-principles investigation of ferroelectricity in perovskite compounds, 10.1103/physrevb.49.5828
- M. Veithen, AIP Conf. Proc. (2002)
- Gonze Xavier, Adiabatic density-functional perturbation theory, 10.1103/physreva.52.1096
- Pertosa P., Michel-Calendini F. M., X-ray photoelectron spectra, theoretical band structures, and densities of states for BaTiO3and KNbO3, 10.1103/physrevb.17.2011
Bibliographic reference |
Veithen, M ; Gonze, Xavier ; Ghosez, P.. Electron localization: Band-by-band decomposition and application to oxides. In: Physical review. B, Condensed matter and materials physics, Vol. 66, no. 23, p. 235113:1-10 (2002) |
Permanent URL |
http://hdl.handle.net/2078.1/41294 |