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Class5_Slides - Semiconductor Physics EE.506 Steve Cronin...

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Steve Cronin University of Southern California Electrical Engineering - Electrophysics Semiconductor Physics EE.506
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Density of States (7)
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Density of States (DOS)
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DOS is one of the important differences between bulk materials and nanoscale materials.
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Electronic Dispersion Relations of NTs Saito, et al., Physical Properties of Carbon Nanotubes, (1998). Density of States Solve this numerically.
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DOS in Nanotubes
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E(k z ,i) k z Density of States in Nanotubes = = 1 0 / 0 1 ) , , , ( 2 1 ) , , ( N i T z z z dk dk i k m n dE E m n D π Loop over E (subdivide into dE ), E_i, 0…999 Loop over subband indices i, 0…N-1 Loop over momentum (subdivide into dk ), k_i, 0…999 if E(k_i*dk, i) > E & E(k_i*dk, i) < E +dE then D[E_i]=D[E_i]+1 Count the number of states in the energy range E…E+dE:
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Density of States
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“HELICAL MICROTUBULES OF GRAPHITIC CARBON ” NATURE 354 (6348): 56-58 1991 Times Cited: 5439 Sumio Iijima Iijima Discovers MWNTs - 1991
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M.Endo, CHEMTEC, 568-576, September 1988
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This note was uploaded on 01/29/2012 for the course EE 506 at USC.

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Class5_Slides - Semiconductor Physics EE.506 Steve Cronin...

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