P-N Junction (Depletion Region)

Electronics Engineering

How It Works

A semiconductor p-n junction forms when p-type and n-type silicon crystals meet, establishing a steep majority carrier concentration gradient across the interface. Mobile holes diffuse from the p-region into the n-region while mobile electrons diffuse from the n-region into the p-region, recombining and leaving behind uncompensated, fixed ionized dopant cores (negative acceptor ions in p, positive donor ions in n). This uncovered space-charge layer forms a depletion region with a strong built-in electric field that opposes further diffusion, reaching dynamic thermal equilibrium.

Governing Equation
V_bi = (k_B · T / q) · ln((N_A · N_D) / n_i²)   |   W_dep = √((2 · ε_s · V_bi / q) · (1/N_A + 1/N_D))