Fig. 3: Overlapping the electronic bandstructure and the plasmon dispersion to calculate their light-matter interactions.

The coupling kernel for the transition between of holes between the lower and upper subband in a two-layer WSe2 quantum well placed between a perfect conductor and a doped graphene sheet is shown for three different values of the graphene Fermi level, a 0.3 eV, b 0.5 eV and c 0.7 eV. The kernel describes the coupling into all optical excitations, including the plasmon and the electron–hole continuum as described by graphene’s full nonlocal conductivity38. The dashed lines represent the non-vertical emission energies, ℏωifq, derived from the DFT band structure for WSe2 quantum wells of N = 2, 3, 4, and 5 layers and the light blue circles denote the intersection between the dispersion of the intersubband transition energy and the graphene plasmon.