Analytical description of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mn>1</mml:mn><mml:mi>s</mml:mi></mml:math> exciton linewidth temperature dependence in transition metal dichalcogenides

We obtain an analytical expression for the linewidth of $1s$ exciton as a function temperature in transition metal dichalcogenides. The total linewidth, temperature, is dominated by three contributions: (i) radiative decay (essentially independent), (ii) phonon-induced intravalley scattering, and (iii) intervalley scattering. Our approach uses variational Ansatz to solve Wannier equation, allowing treatment excitonic problem, including rates dynamics. results are good agreement with experimental data already present literature can be used readily predict value at any broad class two-dimensional materials.