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The virial theorem in graphene and other Dirac materials
Stockholm University, Nordic Institute for Theoretical Physics (Nordita). Los Alamos National Laboratory, United States Department of Energy (DOE) .
2013 (English)In: Philosophical Magazine Letters, ISSN 0950-0839, E-ISSN 1362-3036, Vol. 93, no 12, 672-679 p.Article in journal (Refereed) Published
Abstract [en]

The virial theorem is applied to graphene and other Dirac Materials for systems close to the Dirac points where the dispersion relation is linear. From this, we find the exact form for the total energy given by E = B/r(s) where r(s)a(0) is the mean radius of the d-dimensional sphere containing one particle, with a(0) the Bohr radius, and B is a constant independent of r(s). This result implies that, given a linear dispersion and a Coulombic interaction, there is no Wigner crystallization and that calculating B or measuring at any value of rs determines the energy and compressibility for all r(s). In addition to the total energy, we calculate the exact forms of the chemical potential, pressure and inverse compressibility in arbitrary dimension.

Place, publisher, year, edition, pages
2013. Vol. 93, no 12, 672-679 p.
Keyword [en]
theoretical, graphite, electronic properties
National Category
Physical Sciences
URN: urn:nbn:se:su:diva-98298DOI: 10.1080/09500839.2013.838006ISI: 000327583700001OAI: diva2:683896


Available from: 2014-01-07 Created: 2014-01-03 Last updated: 2014-01-07Bibliographically approved

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Balatsky, Alexander V.
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Nordic Institute for Theoretical Physics (Nordita)
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