Publication year
2020Author(s)
Publisher
Cambridge : Cambridge University Press
ISBN
9781108471640
In
Katsnelson, M.I. (ed.), The Physics of Graphene (Second Edition), pp. 193-212Publication type
Part of book or chapter of book

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Editor(s)
Katsnelson, M.I.
Organization
Theory of Condensed Matter
Book title
Katsnelson, M.I. (ed.), The Physics of Graphene (Second Edition)
Page start
p. 193
Page end
p. 212
Subject
Theory of Condensed MatterAbstract
Exact solution of two-dimensional Dirac equation for Coulomb potential (Dirac–Kepler problem) is presented. Linear and nonlinear screening of the Coulomb potential is discused. The main focus is on the phenomenon of relativistic collapse of supercritical charges, which was discussed for many years in high-energy physics (this is the process that determines the end of the periodic table) and was at last discovered in graphene. We introduce Hartree–Fock theory for massless Dirac electrons and show that their Coulomb interaction essentially renormalizes Fermi velocity in such a way that Dirac cone is, strictly speaking, no more cone.
This item appears in the following Collection(s)
- Academic publications [204951]
- Faculty of Science [32325]
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