Spin-valley quantum Hall phases in graphene
Tian Hong-Yu†
       
Edge-state band structure of the spin up (black lines) and spin down (red lines) of a zigzag graphene ribbon at marked points in the phase diagram shown in Fig.  4 . Parameters are Δ = 0.02 t and M = 0.0 t in panels (a) and (f) (the phase 1), M = 0.03 t in panels (b) and (g) (the phase 2), M = 0.04 t in panels (c) and (h) (the phase 3), M = 0.07 t in panels (d) and (i) (the phase 4), and M = 0.02 t , Δ = 0.07 t in panels (e) and (j) (the phase 6).