SSH Chain — Topological Band Theory

Su-Schrieffer-Heeger model: topological vs trivial phase & edge states

t₁ (intracell)0.50

t₂ (intercell)1.50

N cells16

Disorder δ0.00

t₁/t₂: —

Winding ν: —

Phase: —

Gap: —

Edge states: —

SSH Hamiltonian: H(k) = (t₁+t₂cosk)σₓ + t₂sinkσᵧ. Winding number ν=1 when t₂>t₁ → topological phase with zero-energy edge modes. Bulk-boundary correspondence.