f-Sum Rule and Unconventional Spectral Weight Transfer in Graphene
Mesoscale and Nanoscale Physics
2009-11-13 v3
Abstract
We derive and analyze the f-sum rule for a two-dimensional (2D) 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 inter-band transitions while other excitations produce sub-leading behavior. The f-sum rule provides strong constraints for theories of interacting electrons in graphene.
Cite
@article{arxiv.0806.1684,
title = {f-Sum Rule and Unconventional Spectral Weight Transfer in Graphene},
author = {J. Sabio and J. Nilsson and A. H. Castro Neto},
journal= {arXiv preprint arXiv:0806.1684},
year = {2009}
}
Comments
10 pages, 3 figures; typos corrected, references added