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Excitons, trions, biexcitons, and exciton-trion complexes in two-dimensionaltransition metal dichalcogenide sheets of MoS$_2$, MoSe$_2$, MoTe$_2$, WS$_2$and WSe$_2$ are studied by means of density functional theory and path integralMonte Carlo method in order to accurately account for the particle-particlecorrelations. In addition, the effect of dielectric environment on theproperties of these exciton complexes is studied by modifying the effectiveinteraction potential between particles. Calculated exciton and trion bindingenergies are consistent with previous experimental and computational studies,and larger systems such as biexciton and exciton-trion complex are found highlystable. Binding energies of biexcitons are similar or higher than those oftrions, but the binding energy of the trion depends significantly stronger onthe dielectric environment than that of biexciton. Therefore, as a function ofan increasing dielectric constant of the environment the exciton-trion complex"dissociates" to a biexciton rather than to an exciton and a trion.

Binding energies of exciton complexes in transition metal dichalcogenides and effect of dielectric environment