Semiclassical Boltzmann transport theory for graphene multilayers

Abstract

We calculate the conductivity of arbitrarily stacked multilayer graphene sheets within a relaxation time approximation, considering both short-range and long-range impurities. We theoretically investigate the feasibility of identifying the stacking order of these multilayers using transport measurements. For relatively clean samples, the conductivities of the various stacking configurations depend on the carrier density as a power-law for over two decades. This dependence arises from a low density decomposition of the multilayer band structure into a sum of chiral Hamiltonians. For dirty samples, the simple power-law relationship no longer holds. Nonetheless, identification of the number of layers and stacking sequence is still possible by careful comparison of experimental data to the results presented here.

13 pages, 5 figures; The revised version has been accepted for publication in PRB, and includes the effects of multiband screening and interband/intervalley scattering

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