Graphene magnetoresistance in a parallel magnetic field: Spin polarization effect

Abstract

We develop a theory for graphene magnetotransport in the presence of carrier spin polarization as induced, for example, by the application of an in-plane magnetic field ($B$) parallel to the 2D graphene layer. We predict a negative magnetoresistance $\sigma \propto B^2$ for intrinsic graphene, but for extrinsic graphene we find a non-monotonic magnetoresistance which is positive at lower magnetic fields (below the full spin-polarization) and negative at very high fields (above the full spin-polarization). The conductivity of the minority spin band $(-)$ electrons does not vanish as the minority carrier density ($n_{-}$) goes to zero. The residual conductivity of $(-)$ electrons at $n_{-}=0$ is unique to graphene. We discuss experimental implications of our theory.

5 pages, 3 figures

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