Strongly bound Mott-Wannier excitons in GeS and GeSe monolayers

Abstract

The excitonic spectra of single layer GeS and GeSe are predicted by ab initio GW-Bethe Salpeter equation calculations. G 0 W 0 calculations for the band structures find a fundamental band gap of 2.85 eV for GeS and 1.70 eV for GeSe monolayer. However, excitons are tightly bound, specially in GeS at the {\Gamma} point, where the quasi-particle interactions are so strong that they shift the {\Gamma} exciton peak energy into the visible range and below the off-{\Gamma} exciton peak. The lowest energy excitons in both materials are excited by light along the zigzag direction and have exciton binding energies of 1.05 eV and 0.4 eV, respectively, but despite the strong binding, the calculated binding energies are in agreement with a Mott-Wannier model.