Infrared Spectroscopy of Landau Levels of Graphene

Abstract

We report infrared studies of the Landau level (LL) transitions in single layer graphene. Our specimens are density tunable and show in situ half-integer quantum Hall plateaus. Infrared transmission is measured in magnetic fields up to $B=18\text{ }\text{ }\mathrm{T}$ at selected LL fillings. Resonances between hole LLs and electron LLs, as well as resonances between hole and electron LLs, are resolved. Their transition energies are proportional to $\sqrt{B}$, and the deduced band velocity is $\stackrel{\texttildelow{}}{c}\ensuremath{\approx}1.1\ifmmode\times\else\texttimes\fi{}{10}^{6}\text{ }\text{ }\mathrm{m}/\mathrm{s}$. The lack of precise scaling between different LL transitions indicates considerable contributions of many-particle effects to the infrared transition energies.