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Shape-Dependent Energy of an Elliptical Jellium Background
Joint Authors
Ciftja, Orion
Escamilla, LeDarion
Mills, Ryan
Source
Advances in Condensed Matter Physics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-4, 4 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-05-17
Country of Publication
Egypt
No. of Pages
4
Main Subjects
Abstract EN
The jellium model is commonly used in condensed matter physics to study the properties of a two-dimensional electron gas system.
Within this approximation, one assumes that electrons move in the presence of a neutralizing background consisting of uniformly spread positive charge.
When properties of bulk systems (of infinite size) are studied, shape of the jellium domain is irrelevant.
However, the same cannot be said when one is dealing with finite systems of electrons confined in a finite two-dimensional region of space.
In such a case, geometry and shape of the jellium background play a role on the overall properties of the system.
In this work, we assume that the region where the electrons are confined is represented by a jellium background charge with an elliptical shape.
It is shown that, in this case, the Coulomb self-energy of the elliptically shaped region can be exactly calculated in closed analytical form by using suitable mathematical transformations.
The results obtained reveal the external influence of geometry/shape on the properties of two-dimensional systems of few electrons confined to a small finite region of space.
American Psychological Association (APA)
Ciftja, Orion& Escamilla, LeDarion& Mills, Ryan. 2015. Shape-Dependent Energy of an Elliptical Jellium Background. Advances in Condensed Matter Physics،Vol. 2015, no. 2015, pp.1-4.
https://search.emarefa.net/detail/BIM-1052322
Modern Language Association (MLA)
Ciftja, Orion…[et al.]. Shape-Dependent Energy of an Elliptical Jellium Background. Advances in Condensed Matter Physics No. 2015 (2015), pp.1-4.
https://search.emarefa.net/detail/BIM-1052322
American Medical Association (AMA)
Ciftja, Orion& Escamilla, LeDarion& Mills, Ryan. Shape-Dependent Energy of an Elliptical Jellium Background. Advances in Condensed Matter Physics. 2015. Vol. 2015, no. 2015, pp.1-4.
https://search.emarefa.net/detail/BIM-1052322
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1052322