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The energy-momentum relations in the valence band, EV(p), and conduction band, EC(p), of a hypothetical one-dimensional semiconductor are: EV(p)=A((p0p)221(p0p)4),EC(p)=Be(p/p0)2 with A=1eV,B=1.5eV, and p0 such that
The energy-momentum relations in the valence band, EV(p), and conduction band, EC(p), of a hypothetical one-dimensional semiconductor are: EV(p)=A((p0p)221(p0p)4),EC(p)=Be(p/p0)2 with A=1eV,B=1.5eV, and p0 such that 2mep02=C=1eV. (a) Determine the bandgap energy. Is this a direct- or an indirect-bandgap semiconductor? (b) Determine electron effective mass. Express your answer in the units of the free electron mass, i.e. find the ratio me/me. (c) Determine hole effective mass. Express your answer in the units of the free electron mass, i.e. find the ratio mh/me
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