Theory of Second Order Optical Processes from A Luttinger Liquid

Details Theory of Second Order Optical Processes from A Luttinger Liquid Theory of Second Order Optical Processes from A Luttinger Liquid

1994-09-08

arxiv.org/abs/cond-mat/9409034v1

Physics

Condensed Matter

13 pages (REVTEX 3.0), CCNY-CMT-94-901, (to be published in Solid State Communication)

Scientific paper

10.1016/0038-1098(94)00648-2

We develop a theory for the total optical secondary emission from a 1D interacting electron system modelled as a Tomonaga-Luttinger liquid. We separate the emission into two parts which may originate in {\em hot luminescence} (HL) and {\em Raman Scattering} (RS) respectively when we neglect the {\em interference} effect. We find a peak around $\Delta \omega = v_f |q|$ in the RS part which does not come from a structure factor peak. In general the total emission cannot be separated into HL and RS. However at resonance, and taking into account the $k$ dependence of the optical matrix element, a part of the RS is proportional to the structure factor $S(q_1-q_2, \omega_1-\omega_2)$.

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