▎ 摘　　要

Electrons behave as Dirac fermions in graphene, though their speed is given by the Fermi velocity. In such a system the Zeeman splitting is exactly as large as the Landau level separation. It leads to the emergence of the zero-energy state and multiplets made of the nonzero-energy up-spin and down-spin states. Hence, the supersymmetry is a good symmetry in graphene. We present a unified description of quantum Hall effects in multilayer graphene based on the supersymmetric formalism. We extend the Dirac Hamiltonian to include two indices j up arrow and j down arrow, characterized by the dispersion relation E(p) proportional to p(j up arrow+down arrow) and the Berry phase pi(j up arrow - j down arrow). The quantized Hall conductivity is shown to be sigma(xy) = +/- (2N + j up arrow + j down arrow)2e(2)/h for N = 0, 1, 2, 3, . . . . (C) 2007 Elsevier B.V. All rights reserved.