Abstract In Part I, we optoelectronically optimized a thin-film solar cell with a graded-bandgap CZTSSe photon-absorbing layer and
a periodically corrugated backreflector, using the hybridizable discontinuous
Galerkin (HDG) scheme to solve the drift-diffusion equations.
The efficiency increase due
to periodic corrugation was minimal, but significant improvement was achieved
with a nonlinearly graded bandgap. Due to occasional failures of the HDG
scheme from negative carrier densities, we developed a new computational scheme using the finite-difference
method, which also reduced the overall computational cost of optimization. Later, a normalization error
was discovered in the electrical submodel in Part I, but it did not alter the overall conclusions. We have
now re-optimized the solar cells with (i) a homogeneous bandgap, (ii) a linearly graded bandgap, or (iii)
a nonlinearly graded bandgap, and (iv) piecewise-homogeneous bandgap which is easier to implement than a
continuously graded bandgap.
An efficiency of 13.53\% is predicted with a three-layered piecewise-homogeneous CZTSSe 
layer. Furthermore, concentrating sunlight by a factor of one hundred can boost the efficiency to 16.70\%
 with the
piecewise-homogeneous bandgap.