▎ 摘　　要

To understand the unusual quantum Hall effects in graphene, we exploit the supersymmetric quantum mechanics on the basis of the index theorem and a higher degree of symmetry. The index theorem relates the zero-energy states to the topology of the compact lattice. We claim that the zero-energy state emerges naturally, provided the Zeeman splitting becomes as large as the Landau level separation at the Fermi points in graphene. This results in the fact that supersymmetry is a good symmetry. In the case of nonzero energy, the up-spin and the down-spin states provide the exact higher symmetry of spin, forming a supersymmetric multiplet. We describe briefly a unified picture for the peculiar and unconventional quantum Hall effects in graphene on the basis of the supersymmetric quantum mechanics.