Abstract
We present a full band structure scheme to calculate the electronic
contribution to the second order susceptibility coefficient pertinent
to optical rectification, chi(abc)(2)(-omega(Sigma);omega(beta),omega(gamma))
where omega(Sigma)approximate to 0, within the independent particle
approximation for the electron dynamics, and in the dipole limit.
This allows us to determine the electronic response of a bulk semiconductor
to a femtosecond optical pulse over a range of central frequencies,
both below and above the band gap frequency. Particularly interesting
is the limit chi(abc)(2)(0;omega,-omega). In addition to the usual
near-dc interband rectification current, shift and injection currents,
associated with actual divergences in chi(abc)(2)(0;omega,-omega),
are taken into account. Calculations for GaAs and GaP, in which injection
currents are forbidden, are performed. The band energies and matrix
elements are computed with the full potential linearized augmented
plane wave method. For frequencies above the band gap, and for typically
available pulse widths, we demonstrate that the shift current dominates
the current response, being approximately two orders of magnitude
larger than the rectification current. For very narrow pulse widths,
on the order of a femtosecond, the rectification current becomes
comparable to the shift current.
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