Electron with arbitrary pseudo spins in multilayer graphene

Using the low-energy effective Hamiltonian of the ABC-stacked multilayer graphene, pseudo spin coupling to real orbital angular momentum of electron in multilayer graphene is investigated. We show that electron wave function in N-layer graphene mimics behavior of particle with spin of N/2. It is said that for N greater than 1 the low-energy effective Hamiltonian for ABC-stacked graphene is no longer used to describe pseudo spin 1/2-particle wave function. The wave function of electron in multilayer graphene may behave like fermionic (or bosonic) particle when N is odd (or even). This work proposes a theory of graphene as a host material of electron with arbitrary pseudo spins, tunable by changing number of graphene layers.