Week 7: Two electrochemical potentials mu+ and mu-

Two electrochemical potentials: μ⁺ for right-movers, μ⁻ for left-movers (Datta Ch. 8, Figs. 8.2–8.5)

Linear response with μ₁ = 1 and μ₂ = 0: the source injects extra right-moving electrons (blue →), backscattering turns some into left-movers (red ←), and both contacts absorb whatever reaches them. The density of each stream, measured in bins, is its electrochemical potential (Eq. 2.11). Compare with Datta's solution of Eq. 8.13 (lines).

Channel length L in units of λ Electrons injected per frame

show the standard diffusion solution (no interface drops)

Transmission T measured · λ/(L+λ)–

δμ = μ⁺ − μ⁻ (measured · Eq. 11.13)–

Drop at each contact = qIR_B/2–

R / R_B = 1 + L/λ–

Two electrochemical potentials: μ+ for right-movers, μ− for left-movers (Datta Ch. 8, Figs. 8.2–8.5)

Two electrochemical potentials: μ⁺ for right-movers, μ⁻ for left-movers (Datta Ch. 8, Figs. 8.2–8.5)