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On the Effect of Three‐Body Interactions and Proximity of the Fermi Level to the Brillouin Zone Faces on Elastic Modules of Simple Metals
Author(s) -
Fomichev S. V.,
Katsnelson M. I.,
Koreshkov V. G.,
Trefilov A. V.
Publication year - 1990
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221610114
Subject(s) - brillouin zone , fermi surface , simple (philosophy) , third order , perturbation theory (quantum mechanics) , sphericity , condensed matter physics , perturbation (astronomy) , electronic band structure , fermi gamma ray space telescope , allowance (engineering) , physics , quantum mechanics , mathematics , geometry , mechanical engineering , philosophy , superconductivity , theology , epistemology , engineering
Abstract A discussion is made in the model of the local pseudo‐potential V ( q ) ≡ V q on effects going beyond the scope of the second‐order terms of the V q perturbation theory for describing the static properties of simple metals. It is shown that the allowance for third order in V q hardly improves the description of static properties (energy, pressure, elastic modules, etc.), being nevertheless apparently essential for Ba and Al. The effect of non‐sphericity of the Fermi surface ignored in the third order in V q is discussed in the two‐wave approximation. The ranges of parameters in which the simple perturbation theory in V q is not adequate are found for the b.c.c., f.c.c., and h.c.p. structures of simple metals alloys in the rigid‐band approximation.