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APS » Journals » Phys. Rev. B » Volume 78 » Issue 7
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Phys. Rev. B 78, 075410 (2008) [10 pages]

f-sum rule and unconventional spectral weight transfer in graphene

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J. Sabio1, J. Nilsson2, and A. H. Castro Neto3
1Instituto de Ciencia de Materiales de Madrid, CSIC, Cantoblanco E28049 Madrid, Spain
2Instituut-Lorentz, Universiteit Leiden, P.O. Box 9506, 2300 RA Leiden, The Netherlands
3Department of Physics, Boston University, 590 Commonwealth Avenue, Boston, Massachusetts 02215, USA

Received 13 June 2008; revised 17 July 2008; published 11 August 2008

We derive and analyze the f-sum rule for a two-dimensional system of interacting electrons whose behavior is described by the Dirac equation. We apply the sum rule to analyze the spectral weight transfer in graphene within different approximations discussed in the literature. We find that the sum rule is generically dominated by interband transitions while other excitations produce subleading behavior. The f-sum rule provides strong constraints for theories of interacting electrons in graphene.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.78.075410
DOI:
10.1103/PhysRevB.78.075410
PACS:
81.05.Uw, 51.35.+a, 71.10.−w
 
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