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Monolayer molybdenum disulfide (MoS$_2$) has emerged as an excellent 2D modelsystem because of its two inequivalent, direct-gap valleys that lead to exoticbound and excited states. Here we focus on one such bound state, the negativelycharged trion. Unlike excitons, trions can radiatively decay with non-zeromomentum by kicking out an electron, resulting in an asymmetric trionphotoluminescence (PL) peak with a long low-energy tail. As a consequence, thepeak position does not correspond to the zero momentum trion energy. Byincluding the trion's long tail in our analysis we are able to accuratelyseparate the exciton from the trion contributions to the PL spectra. Accordingto theory, the asymmetric energy tail has both a size-dependent and atemperature-dependent contribution. Analysis of the temperature-dependent datareveals the effective trion size, consistent with literature, and thetemperature dependence of the band gap and spin-orbit splitting of the valenceband. Finally, we observe signatures of Pauli-blocking of the trion decay.

Long tailed trions in monolayer MoS$_2$: Temperature dependent asymmetry and red-shift of trion photoluminescence spectra