Theory of some physical properties and competing processes in tight-binding bands
- 1 December 1980
- journal article
- Published by IOP Publishing in Journal of Physics F: Metal Physics
- Vol. 10 (12) , 2609-2616
- https://doi.org/10.1088/0305-4608/10/12/006
Abstract
Certain physical properties, or differences of two physical quantities, oscillate in sign depending on how far the energy bandstructure is filled. The authors show how a theorem of Ducastelle and Cyrot-Lackmann (1971) concerning the number of such zeros for the case of a tight-binding band can be extended to quantities expressible in terms of Green functions. One application is to the relative ease of formation of different structures or magnetic configurations in transition metals; another application is to the Landau theory of phase transitions. The authors show the relation between the theorem and Friedel oscillations.Keywords
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