Summary
We describe the special-point technique to integrate a periodic function over the BZ. The method of Monkhorst and Pack for special-point generation is explained and an example of its application to the fcc lattice is discussed. Several convergence tests performed with the PWSCF code are presented. The problem of sampling the Fermi surface in metallic systems is briefly discussed.
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References
W. Kohn and L.J. Sham, Phys. Rev. 140, 1133 (1965).
See the chapter “The PWSCF code” this issue.
W.H. Press, B.P. Flannery, S.A. Teukolsky, and W.T. Vetterling, “Numerical Recipies” ( Cambridge University Press, Cambridge, 1986 ).
For a comprehensive review see R.A. Evarestov and V.P. Smirnov, Phys. Stat. Sol. (b) 119, 9 (1993).
A. Baldereschi, Phys. Rev. B 7, 5212 (1973).
H.J. Monkhorst and J.D. Pack, Phys. Rev. B 13, 5188 (1976).
G.F. Koster, in Solid State Physics, edited by H. Ehrenreich, F. Seitz and D. Turnbull, vol. 5 ( Academic, New York, 1957 ).
D.J. Chadi and M. L. Cohen, Phys. Rev. B 8, 5747 (1973).
F. Bassani and G. Pastori Parravicini, Electronic states and optical transitions in solids ( Pergamon Press, Oxford, 1975 ).
C.-L. Fu and K.M. Ho, Phys. Rev. B 28, 6687 (1983).
A. Devita, Ph.D. Thesis, Keele University (1992).
C. Elsässer, M. Fähnle, C.T. Chan, and K.M. Ho, Phys. Rev. B 49, 13 975 (1994).
M. Methfessel and A.T. Paxton, Phys. Rev. B 40, 3616 (1989).
G. Lehmann and M. Taut, Phys. Status Solid 54, 469 (1962).
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© 1996 Springer-Verlag Berlin Heidelberg
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Dal Corso, A. (1996). Reciprocal Space Integration and Special-Point Techniques. In: Pisani, C. (eds) Quantum-Mechanical Ab-initio Calculation of the Properties of Crystalline Materials. Lecture Notes in Chemistry, vol 67. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61478-1_4
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DOI: https://doi.org/10.1007/978-3-642-61478-1_4
Publisher Name: Springer, Berlin, Heidelberg
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