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Mean-Value Point in the Brillouin Zone
Abstract
A new special point in the Brillouin zone is introduced. It is defined as the point such that the value which any given periodic function of wave vector assumes at this point is an excellent approximation to the average value of the same function throughout the Brillouin zone. This special point is termed the "mean-value point," and is dictated by the crystal symmetry. The coordinates of the mean-value point for cubic lattices are explicitly given.
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Citations
Cites
�ber die Quantenmechanik der Elektronen in Kristallgittern
Bloch, F. (1929) · Zeitschrift f�r Physik · doi:10.1007/bf01339455 · Cited by 3,436
Cited by
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
The General Utility Lattice Program ( GULP )
Gale, J. D., & Rohl, A. L. (2003) · Molecular Simulation · doi:10.1080/0892702031000104887 · Cited by 2,265
Quantum Monte Carlo Approaches for Correlated Systems
Becca, F., & Sorella, S. (2017) · doi:10.1017/9781316417041 · Cited by 523
Twist-averaged boundary conditions in continuum quantum Monte Carlo algorithms
Lin, C., Zong, F. H., & Ceperley, D. M. (2001) · Physical Review E · doi:10.1103/physreve.64.016702 · Cited by 371
Metadata
- Authors
- Baldereschi, A.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1973-06-15
- Volume
- 7
- Issue
- 12
- Pages
- 5212-5215
- ISSN
- 0556-2805 (ISSN-L)
- OpenAlex
- W2013782770
- Cited by
- 955
- References
- 1
- FWCI
- 21.32
- Type
- journal article
- Language
- en
- Open access
- closed
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- Baldereschi, A. (1973). Mean-Value Point in the Brillouin Zone. Physical Review B. https://doi.org/10.1103/physrevb.7.5212
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