04 - Effective mass and holes

04 - Effective mass and holes - EECS 320 Bandstructure,...

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Unformatted text preview: EECS 320 Bandstructure, Effective Mass, and Holes J. Phillips EECS 320 Electrons In A Crystal dt dv m qF Force = − = Free electrons in a vacuum respond to applied electric fields by the following m =electron rest mass Do electrons in the conduction band of a crystal follow the same relationship? E C E V E q=charge on an electron (1.6x10-19 C) F=electric field v=velocity (“-” sign for electron) J. Phillips EECS 320 Wavevector “k” λ π 2 = k From de Broglie p=momentum A convenient description of momentum is the wavevector h=Planck’s constant (6.63x10-34 J-s) λ =wavelength λ h p = k p h = s J h − × = = − 34 10 06 . 1 2 π h Relation to force and energy dt dk dt dp dt dv m h = = = Force m k m p E 2 2 2 2 2 h = = (Kinetic energy) J. Phillips EECS 320 Electrons In A Crystal Electron sees potential variation in crystal U x E p 2 2 m p E = Free electron energy-momentum relationship Does E vs p look the same as for free electron? J. Phillips EECS 320 Effective Mass Energy-Momentum Relations In A Semiconductor...
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This note was uploaded on 01/31/2011 for the course EECS 320 taught by Professor Philips during the Spring '06 term at University of Michigan.

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04 - Effective mass and holes - EECS 320 Bandstructure,...

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