Electron poor materials research group Group meeting Sept. 08, 2010 On the road to: Given Eg, m*, Chemical potential (i.e. carrier density), T, Etc. Predict.

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Presentation transcript:

Electron poor materials research group Group meeting Sept. 08, 2010 On the road to: Given Eg, m*, Chemical potential (i.e. carrier density), T, Etc. Predict ZT.

Toy test problem. 1 conduction band, m*=m, Eg=1eV, isotropic band. Amounts to a free electron gas, either a quantum gas if Ef>Eg, or a classical Boltzmann gas if Ef<<EG. Transport integrals: Tn = - Integral vk vk tau(k) (Ek- mu)**n (df(Ek)/dEk d3k Sigma= e**2 T0 Seebeck = -1/e T1 * T0**-1 Thermal Kappa (e-part)= 1/T (T2-T1*T1*T0**-1) All in mks unit. Results not reliable. Clear errors. Will fix. Plan – Work out on a sheet of paper the degenerate limit and classical limit.

Tn vs. Chemical potential (Ef). Conduction band at 1eV.

Electron density vs. Chemical Potential Ef. Density in m**-3 10**6 cm**- 3