Landauer–Büttiker Transport
Quantum conductance quantization · transmission through scatterer · G = (e²/h)·ΣTₙ
Parameters
Channel width W:
4
modes
Barrier height V₀:
0.50
(E_F)
Barrier width d:
0.30
Disorder strength:
0.00
Fermi energy E_F:
1.00
Modes M
—
ΣTₙ
—
G (e²/h)
—
Resistance (h/e²)
—
Landauer formula:
G = (2e²/h) Σₙ Tₙ
Each mode n carries Tₙ ∈ [0,1]. For perfect channels, G = N·2e²/h quantized.
Scattering reduces Tₙ. Anderson disorder → localization → G→0.