If the electrons are distributed in a "quantum-wire" geometry, that is, an ideal- ized one-dimensional space with a given "line" carrier density ne (1/cm), (a) derive a one-dimensional density of states and plot it versus the energy E. (b) Find the relation between ne and the Fermi level at a given temperature T. (c) Repeat (b) for T = 0.
If the electrons are distributed in a "quantum-wire" geometry, that is, an ideal- ized one-dimensional space with a given "line" carrier density ne (1/cm), (a) derive a one-dimensional density of states and plot it versus the energy E. (b) Find the relation between ne and the Fermi level at a given temperature T. (c) Repeat (b) for T = 0.
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Transcribed Image Text:If the electrons are distributed in a "quantum-wire" geometry, that is, an ideal-
ized one-dimensional space with a given "line" carrier density ne (1/cm),
(a) derive a one-dimensional density of states and plot it versus the energy E.
(b) Find the relation between ne and the Fermi level at a given temperature T.
(c) Repeat (b) for T = 0.
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