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A simple numerical-method for the determination of relativistic one-dimensional band structures

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Méndez Martín, Bianchi and Domínguez-Adame Acosta, Francisco (1991) A simple numerical-method for the determination of relativistic one-dimensional band structures. Journal of Physics A-Mathematical and General, 24 (7). L331-L336. ISSN 0305-4470

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Official URL: http://iopscience.iop.org/0305-4470/24/7/004


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Abstract

A discretized form of the one-dimensional Dirac equation is solved to study relativistic band structures. Properties of periodic continued fractions are used to find the dispersion relation inside allowed bands. The Mathieu potential is considered and it is found that relativistic effects cause a reduction of the width of allowed bands and gaps.


Item Type:Article
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© 1991 IOP Publishing Ltd.

Uncontrolled Keywords:Kronig-Penney Model
Subjects:Sciences > Physics > Materials
ID Code:25076
Deposited On:11 Apr 2014 17:36
Last Modified:25 May 2016 14:24

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