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    Linear response of doped graphene sheets to vector potentials

    Principi, A.
    Polini, Marco
    Vignale, Giovanni, 1957-
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    [PDF] LinearResponseDopedGraphene.pdf (405.7Kb)
    Date
    2009
    Format
    Article
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    Abstract
    A two-dimensional gas of massless Dirac fermions (MDFs) is a very useful model to describe low-energy electrons in monolayer graphene. Because the MDF current operator is directly proportional to the (sublattice) pseudospin operator, the MDF current-current response function, which describes the response to a vector potential, happens to coincide with the pseudospin-pseudospin response function. In this work, we present analytical results for the wave vector- and frequency-dependent longitudinal and transverse pseudospin-pseudospin response functions of noninteracting MDFs. The transverse response in the static limit is then used to calculate the noninteracting orbital magnetic susceptibility. These results are a starting point for the construction of approximate pseudospin-pseudospin response functions that would take into account electron-electron interactions (for example at the random-phase-approximation level). They also constitute a very useful input for future applications of current-density-functional theory to graphene sheets subjected to time and spatially varying vector potentials.
    URI
    http://hdl.handle.net/10355/7650
    Citation
    Phys. Rev. B 80, 075418 (2009)
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