Van Hove singularities and continued fraction coefficients
- 1 January 1977
- journal article
- Published by EDP Sciences in Journal de Physique Lettres
- Vol. 38 (9) , 187-189
- https://doi.org/10.1051/jphyslet:01977003809018700
Abstract
A relation is derived between the internal Van Hove singularities in a band and the asymptotic behaviour of the coefficients of the continued fraction which represents the density of states. Thus one may show that these coefficients oscillate about their infinite limit values with a frequency related to the position of the singularity within the band, a result first obtained empirically by Gaspard and Cyrot-Lackmann. The present method enables one to derive in addition the amplitude, phase and decay law of these oscillationsKeywords
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