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Semiconductor Laser Physics

Semiconductor Laser Physics. “ One should not work on semiconductors, that is a filthy mess; who knows whether they really exist.” Wofgang Pauli 1931. Crystal lattice and energy bands. Cubic diamond lattice. Face-centered cubic (fcc). Zinc blende structure.

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Semiconductor Laser Physics

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  1. Semiconductor Laser Physics “One should not work on semiconductors, that is a filthy mess; who knows whether they really exist.” Wofgang Pauli 1931

  2. Crystal lattice and energy bands

  3. Cubic diamond lattice Face-centered cubic (fcc)

  4. Zinc blende structure

  5. http://britneyspears.ac/lasers.htm

  6. Miller indices

  7. Electron states in bulk semiconductors

  8. - Bloch functions Express in terms of Bloch functions at k = 0: kp method Schroedinger’s equation for a single electron in a periodic potential V(r): (1) (2)

  9. Obtain after multiplying by and integrating (1) over unit cell: Note the coupling between bands via kp term and spin-orbit interaction This is a matrix diagonalization problem; however it is still too complicated because of too many bands Next step: Lowdin’s perturbation method to reduce the size of the problem

  10. The Luttinger-Kohn basis for un0(r) states: S,X,Y,Z are similar to S-like and P-like atomic states (lowest order spherical harmonics Y00, Y10, Y11 etc.)

  11. Note strong non-parabolicity Ga0.47In0.53As 8-band kp method (4 bands x 2 spins)

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