Unusual Microwave Response of Dirac Quasiparticles in Graphene

Abstract

Recent experiments have proven that the quasiparticles in graphene obey a Dirac equation. Here we show that microwaves are an excellent probe of their unusual dynamics. When the chemical potential is small the intraband response can exhibit a cusp around zero frequency $\Omega$ and this unusual lineshape changes to Drude-like by increasing the chemical potential $|\mu |$, with width also increasing linearly with $\mu$. The interband contribution at T=0 is a constant independent of $\Omega$ with a lower cutoff at $2\mu$. Distinctly different behavior occurs if interaction-induced phenomena in graphene cause an opening of a gap $\Delta$. At large magnetic field $B$, the diagonal and Hall conductivities at small $\Omega$ become independent of $B$ but remain nonzero and show structure associated with the lowest Landau level. This occurs because in the Dirac theory the energy of this level, $E_0=\pm \Delta$, is field independent in sharp contrast to the conventional case.

4 pages, RevTeX4, 4 EPS figures

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