Computer design development: Principal papers by Earl E. Swartzlander Jr.

By Earl E. Swartzlander Jr.

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LZ> l is the interband matrix element of momentum. 96]. El and E2 are associated with the heavy and light effective mass valence bands, degenerate at the F-point. We can thus write EI -~Ez ~- Eo. 86) where A0 is the spin-orbit splitting of the top valence band states. We note that in the limit E0 >>he)L, this expression tbr A becomes identical to the inverse effective mass tensor of the Kane model, as expected. 6). The only difference is the replacement of (alL' m *-1 "ds) by 1/m (gL" A. ds). 10).

This occurs whenever dL and ds are not directed along principal axes of the effective mass tensor. 46) where the charges associated with each species e~and ev are - e for electrons in a conduction band and + e for holes in a valence band. 19): el(q, co)= ~/- ~ Tlv(q, co)Dv(q, co). 47) The total electric field is now given by e,(q, co) = D,(q, co) 1 v,;(q, co). 49) where zl(q,co) is the dielectric polarizability tensor of the species l. 48,49) constitute a system of linearly coupled equations for the polarizations Pt (q, co).

Losses may occur due to electron-phonon and also electron-impurity interactions. The phenomena associated with these additional losses are usually taken into account by introducing a collision relaxation time z. 74]. 4] and F = z -1 is the collision frequency. Lighl Scattering by Free Carrier Excitations in Semiconductors 19 Outside the Landau-damping region, Im {x(q, co)} is small and the peaks in Im { - 1/e(q,co)} occur at frequencies and wavevectors that give Re {e(q,co)} = 0. 36) is the usual condition that determines the frequency cop(q) of the collective plasma oscillation, or plasmon, of the electron gas.

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