As
for many technological applications, excitation transport determines
their performance, we investigate the THz conductivity of electrons,
holes, excitons, and trions in 2D semiconductor nanoparticles. While
the non-Drude-like frequency response of charge carriers in these
systems has been established recently, the responses of excitons and
trions remain not fully understood. We show that the exciton polarizability
is related to intraexcitonic transitions between different states
of relative motion and independent of the center-of-mass motion of
an exciton. In contrast to simplifying models, a thermal distribution
among those states leads to a considerable alteration of the resultant
polarizability. To understand experimental data, we develop a quantum
mechanical model for the mobility of trions and describe a linear-response-based
formalism for the polarizability of excitons with a thermal distribution.
Discussing the size- and aspect ratio dependent mobility of these
species, we show that the particle manifold can be tuned. While for
small nanoplatelets and a high number of background electrons signatures
of negative trions dominate the THz response, in contrast, for extended
2D systems, excitons prevail. Like the conductance for charge carriers,
the polarizability of excitons as well as mobility of trions is altered
by quantization effects. Our results give basic insights to the understanding
of the THz spectra of colloidal, epitaxial, and free-standing 2D semiconductors,
for instance, monolayer perovskites and TMDCs, materials of current
interest for solar energy harvesting, photocatalysis, or high bandwidth
and low-noise nanoelectronics or THz detection in imaging systems
for security applications. We provide a toolbox for the analysis of
experiments and improved microscopic understanding, which in reverse
allows optimization of technological applications.