The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
Special points for Brillouin-zone integrations
Abstract
A method is given for generating sets of special points in the Brillouin zone which provides an efficient means of integrating periodic functions of the wave vector. The integration can be over the entire Brillouin zone or over specified portions thereof. This method also has applications in spectral and density-of-state calculations. The relationships to the Chadi-Cohen and Gilat-Raubenheimer methods are indicated.
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In the citing paper
“The reference all-electron results of the equation of states chosen in this work are the ones of the WIEN2k code [24] reported in Ref. [6], with the exception of the rare-earth nitrides for which we use the WIEN2k results reported in Ref. [18].”
From Precision and efficiency in solid-state pseudopotential calculations (2018) · cites this paper as [18]
In the citing paper
“Leveraging the SSSP protocol, we identify two optimal PSP libraries, named SSSP efficiency and SSSP precision (version 1.1), that provide thoroughly tested and precise PSPs for 85 elements of the periodic table, selected from publicly available PSP libraries [16-22], for which the original authors should be acknowledged.”
From Precision and efficiency in solid-state pseudopotential calculations (2018) · cites this paper as [18]
In the citing paper
“Leveraging the SSSP protocol, we identify two optimal PSP libraries, named SSSP efficiency and SSSP precision (version 1.1), that provide thoroughly tested and precise PSPs for 85 elements of the periodic table, selected from publicly available PSP libraries [16-22], for which the original authors should be acknowledged.”
From Precision and efficiency in solid-state pseudopotential calculations (2018) · cites this paper as [18]
Citations
Cites
Special Points in the Brillouin Zone
Chadi, D. J., & Cohen, M. L. (1973) · Physical review. B, Solid state · doi:10.1103/physrevb.8.5747 · Cited by 2,062
Mean-Value Point in the Brillouin Zone
Baldereschi, A. (1973) · Physical review. B, Solid state · doi:10.1103/physrevb.7.5212 · Cited by 966
Computational Methods in Band Theory
Marcus, P. M., Janak, J. F., & Williams, A. R. (1971) · Springer eBooks · doi:10.1007/978-1-4684-1890-3 · Cited by 505
Analysis of methods for calculating spectral properties in solids
Gilat, G. (1972) · Journal of Computational Physics · doi:10.1016/0021-9991(72)90046-0 · Cited by 207
Flagged first, then by citations
Research works printed but not linked: 1
- G. F. Koster, 1957, Solid State Physics
Cited by
Sorted by citations
Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set
Kresse, G., & Furthmüller, J. (1996) · Physical Review B · doi:10.1103/physrevb.54.11169 · Cited by 123,652
Kresse, G., & Furthmüller, J. (1996) · Computational Materials Science · doi:10.1016/0927-0256(96)00008-0 · Cited by 76,871
QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials
Giannozzi, P., Baroni, S., Bonini, N., Calandra, M., Car, R., Cavazzoni, C., Ceresoli, D., Chiarotti, G., Cococcioni, M., Dabo, I., et al. (2009) · Journal of Physics Condensed Matter · doi:10.1088/0953-8984/21/39/395502 · Cited by 29,793
Kresse, G., & Häfner, J. (1994) · Physical review. B, Condensed matter · doi:10.1103/physrevb.49.14251 · Cited by 23,252
The SIESTA method for ab initio order- N materials simulation
Soler, J. M., Artacho, E., Gale, J. D., Garcı́a, A., Junquera, J., Ordejón, P., & Sánchez‐Portal, D. (2002) · Journal of Physics Condensed Matter · doi:10.1088/0953-8984/14/11/302 · Cited by 12,414
Metadata
- Authors
- Monkhorst, H. J., & Pack, J. D.
- Affiliations
- University of Utah (US)
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1976-06-15
- Volume
- 13
- Issue
- 12
- Pages
- 5188-5192
- ISSN
- 0556-2805 (ISSN-L)
- OpenAlex
- W2036113194
- Cited by
- 71,721
- References
- 4
- Citations by year
- 2026: 4831 · 2025: 5849 · 2024: 5512 · 2023: 4898 · 2022: 4986 · 2021: 4725 · 2020: 4511 · 2019: 4071 · 2018: 3816 · 2017: 3385 · 2016: 3229 · 2015: 2740 · 2014: 2713 · 2013: 2358 · 2012: 2223
- FWCI
- 6.25
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical review. B, Solid state (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Advanced Chemical Physics Studies
- Physical Sciences › Materials Science › Metals and Alloys › Thermodynamic and Structural Properties of Metals and Alloys
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Physics of Superconductivity and Magnetism
- Keywords
- Brillouin zone integration, special points, spectral function, density of states, k-point sampling
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