The DOI matches its Crossref record; 31 of the 31 references it cites were found in a registry or an index.
First-principles theory of ferroelectric phase transitions for perovskites: The case ofBaTiO3
Open accessAbstract
We carry out a completely first-principles study of the ferroelectric phase transitions in ${\mathrm{BaTiO}}_{3}$. Our approach takes advantage of two features of these transitions: the structural changes are small, and only low-energy distortions are important. Based on these observations, we make systematically improvable approximations which enable the parametrization of the complicated energy surface. The parameters are determined from first-principles total-energy calculations using ultrasoft pseudopotentials and a preconditioned conjugate-gradient scheme. The resulting effective Hamiltonian is then solved by Monte Carlo simulation. The calculated phase sequence, transition temperatures, latent heats, and spontaneous polarizations are all in good agreement with experiment. We find the transitions to be intermediate between order-disorder and displacive character. We find all three phase transitions to be of first order. The roles of different interactions are discussed.
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Special points for Brillouin-zone integrations
Monkhorst, H. J., & Pack, J. D. (1976) · Physical Review B · doi:10.1103/physrevb.13.5188 · Cited by 71,721
Equation of State Calculations by Fast Computing Machines
Metropolis, N., Rosenbluth, A. W., Rosenbluth, M. N., Teller, A. H., & Teller, E. (1953) · The Journal of Chemical Physics · doi:10.1063/1.1699114 · Cited by 37,192
Soft self-consistent pseudopotentials in a generalized eigenvalue formalism
Vanderbilt, D. (1990) · Physical Review B · doi:10.1103/physrevb.41.7892 · Cited by 23,185
Self-citationComputer Simulation of Liquids
Allen, M. P., & Tildesley, D. J. (2017) · doi:10.1093/oso/9780198803195.001.0001 · Cited by 20,945
Payne, M. C., Teter, M. P., Allan, D. C., Arias, T. A., & Joannopoulos, J. D. (1992) · Reviews of Modern Physics · doi:10.1103/revmodphys.64.1045 · Cited by 9,728
Numerical data and functional relationships in science and technology
Bechmann, R., Hearmon, R. F. S., & Kurtz, S. K. (1969) · Springer eBooks · Cited by 5,858
Principles and Applications of Ferroelectrics and Related Materials
Lines, M. E., & Glass, A. M. (2001) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780198507789.001.0001 · Cited by 5,257
Theory of polarization of crystalline solids
King-Smith, R. D., & Vanderbilt, D. (1993) · Physical Review B · doi:10.1103/physrevb.47.1651 · Cited by 4,472
Self-citationOrigin of ferroelectricity in perovskite oxides
Cohen, R. E. (1992) · Nature · doi:10.1038/358136a0 · Cited by 3,174
New Monte Carlo technique for studying phase transitions
Ferrenberg, A. M., & Swendsen, R. H. (1988) · Physical Review Letters · doi:10.1103/physrevlett.61.2635 · Cited by 2,673
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Maximally localized Wannier functions: Theory and applications
Marzari, N., Mostofi, A. A., Yates, J. R., Souza, I., & Vanderbilt, D. (2012) · Reviews of Modern Physics · doi:10.1103/revmodphys.84.1419 · Cited by 3,283
Self-citationMore accurate generalized gradient approximation for solids
Wu, Z., & Cohen, R. E. (2006) · Physical Review B · doi:10.1103/physrevb.73.235116 · Cited by 2,383
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Vanderbilt, D., & Cohen, M. H. (2001) · Physical Review B · doi:10.1103/physrevb.63.094108 · Cited by 677
Self-citationTadano, T., & Tsuneyuki, S. (2015) · Physical Review B · doi:10.1103/physrevb.92.054301 · Cited by 640
CRYSTAL23: A Program for Computational Solid State Physics and Chemistry
Erba, A., Desmarais, J. K., Casassa, S., Civalleri, B., Donà, L., Bush, I. J., Searle, B., Maschio, L., Edith-Daga, L., Cossard, A., et al. (2023) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.2c00958 · Cited by 367
Metadata
- Authors
- Zhong, W., Vanderbilt, D., & Rabe, K. M.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1995-09-01
- Volume
- 52
- Issue
- 9
- Pages
- 6301-6312
- ISSN
- 0163-1829 (ISSN-L)
- 1095-3795
- OpenAlex
- W2078920249
- Cited by
- 785
- References
- 31
- FWCI
- 9.26
- Type
- journal article
- Language
- en
- Open access
- green
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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