Description of a system of interacting linear chains by means of the electron network model

M. Weger; S. Alexander; G. Della Riccia

doi:10.1063/1.1666306

Description of a system of interacting linear chains by means of the electron network model

M. Weger^*, S. Alexander, G. Della Riccia

^*Corresponding author for this work

Racah Institute of Physics

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Abstract

The electron network model of Coulson and Della Riccia is applied to describe a simple lattice consisting of two families of linear chains, coupled together. It is shown that the model displays resonances, at which the wavefunction is preferentially situated at one or the other family of chains, and that at these resonances, there is a 1/√E divergence in the electronic density of states.

Original language	English
Pages (from-to)	259-262
Number of pages	4
Journal	Journal of Mathematical Physics
Volume	14
Issue number	2
DOIs	https://doi.org/10.1063/1.1666306
State	Published - 1973

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title = "Description of a system of interacting linear chains by means of the electron network model",

abstract = "The electron network model of Coulson and Della Riccia is applied to describe a simple lattice consisting of two families of linear chains, coupled together. It is shown that the model displays resonances, at which the wavefunction is preferentially situated at one or the other family of chains, and that at these resonances, there is a 1/√E divergence in the electronic density of states.",

author = "M. Weger and S. Alexander and {Della Riccia}, G.",

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AB - The electron network model of Coulson and Della Riccia is applied to describe a simple lattice consisting of two families of linear chains, coupled together. It is shown that the model displays resonances, at which the wavefunction is preferentially situated at one or the other family of chains, and that at these resonances, there is a 1/√E divergence in the electronic density of states.

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Description of a system of interacting linear chains by means of the electron network model

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