Unusual Microwave Response of Dirac Quasiparticles in Graphene

Details Unusual Microwave Response of Dirac Quasiparticles in Graphene Unusual Microwave Response of Dirac Quasiparticles in Graphene

2006-03-09

arxiv.org/abs/cond-mat/0603267v1

Phys.Rev.Lett. 96 (2006) 256802

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, RevTeX4, 4 EPS figures

Scientific paper

10.1103/PhysRevLett.96.256802

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.

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