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We propose a scheme for the spatial exciton energy control and excitonrouting in a transition metal dichalcogenide (TMD) monolayer which lies on aquantum paraelectric substrate. It relies on the ultrasensitive response of thesubstrate dielectric permittivity to temperature changes, allowing forspatially inhomogeneous screening of Coulomb interaction in a monolayer. As anexample, we consider the heterostructure of TMD and strontium titanate oxideSrTiO$_3$, where large dielectric screening can be attained. We study theimpact of substrate temperature on the characteristic electronic features ofTMD monolayers such as the particle bandgap and exciton binding energy, Bohrradius and nonlinearity (an exciton-exciton interaction). The combination ofparticle bandgap and exciton binding energy modulation results in the shift ofthe exciton resonance energy. Applying local heating, we create spatialpatterns with varying exciton resonant energy and an exciton flow towards theenergetically lower region of the sample.

Exciton routing in the heterostructure of TMD and paraelectrics