Fermi-edge singularities in linear and non-linear ultrafast spectroscopy

Details Fermi-edge singularities in linear and non-linear ultrafast spectroscopy Fermi-edge singularities in linear and non-linear ultrafast spectroscopy

2000-09-11

arxiv.org/abs/cond-mat/0009156v2

Phys. Rev. B 63, 245321 (2001)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

long version; 9 pages, 4 figures

Scientific paper

10.1103/PhysRevB.63.245321

We discuss Fermi-edge singularity effects on the linear and nonlinear transient response of an electron gas in a doped semiconductor. We use a bosonization scheme to describe the low energy excitations, which allows to compute the time and temperature dependence of the response functions. Coherent control of the energy absorption at resonance is analyzed in the linear regime. It is shown that a phase-shift appears in the coherent control oscillations, which is not present in the excitonic case. The nonlinear response is calculated analytically and used to predict that four wave-mixing experiments would present a Fermi-edge singularity when the exciting energy is varied. A new dephasing mechanism is predicted in doped samples that depends linearly on temperature and is produced by the low-energy bosonic excitations in the conduction band.

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