The Josephson effect in the superconductor/ferromagnet/superconductor(SFS) graphene Josephson junction is studied using the Dirac Bogoliubov-de Gennes(DBdG) formalism. It is shown that the SFS graphene junction drives 0–π transition with the increasing of p=h0L/vFhˉ, which captures the effects of both the exchange field and the length of the junction; the spin-down current is dominant. The 0 state is stable for p < pc(critical value pc ≈ 0.80) and theπ state is stable for p > pc, where the free energy minima are at φg= 0 and φg= π, respectively. The coexistence of the 0 and π states appears in the vicinity of pc.
The Josephson effect in the superconductor/ferromagnet/superconductor (SFS) graphene Josephson junction is studied using the Dirac Bogoliubov-de Gennes (DBdG) formalism. It is shown that the SFS graphene junction drives 0–π transition with the increasing of p=h0L/vF?, which captures the effects of both the exchange field and the length of the junction; the spin-down current is dominant. The 0 state is stable for p 〈 pc (critical value pc ≈ 0.80) and the π state is stable for p 〉 pc, where the free energy minima are at φg=0 and φg=π, respectively. The coexistence of the 0 and π states appears in the vicinity of pc.