Topological Surface States
Bulk-boundary correspondence & Dirac cone dispersion
Parameters
Mass parameter m:
0.00
Fermi energy E_F:
0.00
Velocity v_F:
1.00
Surface states
Bulk valence
Bulk conduction
Bulk-boundary correspondence:
A topological insulator has gapped bulk bands but gapless surface states protected by time-reversal symmetry.
Dirac cone:
E = ±ℏv_F|k| (massless when m→0)
Topological phase:
m < 0 → Z₂ invariant ν=1
Trivial phase:
m > 0 → ν=0
Drag mouse over cone to probe states.