Title:
Electric transport and magnetic properties in multilayer graphene
Abstruct:
We discuss electric transport and orbital magnetism of multilayer
graphenes in a weak magnetic field using the matrix decomposition
technique. At zero temperature, the minimum conductivity is given by
that of the monolayer system multiplied by the layer number $N$,
independent of the interlayer hopping $t$. When the interlayer hopping
satisfies the condition $t\gg \hbar/\tau$ with $\tau$ being collision
time of impurity scattering, $[N/2]$ kinks and $[N/2]+1$ plateaux
appear in the Fermi energy (gate voltage) dependence of the
conductivity and the Hall conductivity, respectively. These behaviors
are interpreted as multi-band effects. We also found that the Hall
conductivity and the magnetic susceptibility take minimum value as a
function of temperature, for certain value of the gate voltage. This
behavior is explained by Fermi-energy dependence of these functions at
zero temperature.
References:
M. Nakamura, Phys. Rev. B 76 (2007) 113301;
M. Nakamura and L. Hirasawa, arXiv:0711.2940