1. Effect of the spin-orbit on the photocurrent in graphene R-J Tarento and P Joyes Laboratoire de Physique des Solides Orsay France

2. T1 T2 k=K+q

3. Hamiltonian can be rotated into a diagonal form

4. Graphene- Electromagnetic field Interaction

6. NonLinear Optical Excitations Matrix Density ρ = Mele et al 2002

7. Time evolution of the particle density matrix H=Ho+Hint The density matrix is expanded in the excited fields

8. The second-order terms ρ2 include the lowest-order changes Δ=2 vF q

9. Polar asymmetry of the photocurrent

10. SPIN ORBIT INTERACTION IN GRAPHENE H=H π +H σ +H so H so =Δ L s 4x4 spinor H=Δ int [τ z σ z s z ]+Δ R [σ x s y +τ z σ y s x ] Δ int =0.01K Δ R =0.07K +0.2 K Rasbah Electric field Curvature Guinea et al 2006

11. Effect of Δint Eigenvalues

12. Δint=Ω β = z.qxA

13. Δ*=2

14. Effect of ΔR