Week 10: Thermoelectric window, Seebeck coefficient, power factor and ZT

Thermoelectric window: Seebeck coefficient, power factor and ZT vs μ₀ (Datta Ch. 13, Figs. 13.3–13.9)

Two contacts at the same μ₀ but different temperatures: f₁ − f₂ is positive above μ₀ and negative below (Fig. 13.3). Whether electrons flow hot → cold or cold → hot depends on where the channel conducts. Move the band (or level) relative to μ₀ and watch S, the power factor S²G₀ and ZT (Eqs. 13.5–13.18). Energies in units of kT; conductance in units of G_c = G(E) at 1 kT inside the band.

Channel G(E) Band shape α Band edge (or level) relative to μ₀: (E_edge − μ₀)/kT Phonon heat conductance G_K,ph (units (k/q)²T·G_c)

Seebeck S = −G_S/G₀ (Eq. 13.9)–

G₀ (Eq. 13.5) · power factor S²G₀–

ZT: electrons only · with phonons–

Peltier Π = TS (Eq. 13.19) · V_OC for ΔT = 10 K–