Theory of Second Order Optical Processes from A Luttinger Liquid
Abstract
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 hot luminescence (HL) and Raman Scattering (RS) respectively when we neglect the interference effect. We find a peak around ω = vf |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(q1-q2, ω1-ω2).
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