Table 2 Dipole matrix elements (in units of the hydrogen Bohr radius a0) for optical transitions between the bands shown in Fig. 5 at the K point for bright excitons A and B, and the dark exciton SFD, under the corresponding polarization

From: Enhancement, brightening and control of radiative emission of dark exciton in WSe2 monolayer by plasmonic effect

Exciton

Dipole matrix element (a0)

Polarization direction

SFD

\(\left|\langle {u}_{+1,-1/2}^{7,v}| z| {u}_{+1,+1/2}^{9,c}\rangle\right| =0.137\)

z

A

\(\left|\langle {u}_{+1,-1/2}^{7,v}| x| {u}_{+1,-1/2}^{12,c}\rangle\right| =3.897\)

x (or y)

B

\(\left|\langle {u}_{+1,+1/2}^{8,v}| x| {u}_{+1,+1/2}^{9,c}\rangle\right| =2.682\)

x (or y)