  We recently developed a scheme to use low-cost calculations to find a single
twist angle where the couple cluster doubles energy of a single calculation
matches the twist-averaged coupled cluster doubles energy in a finite unit
cell. We used initiator full configuration interaction quantum Monte Carlo
($i$-FCIQMC) as an example of an exact method beyond coupled cluster doubles
theory to show that this selected twist angle approach had comparable accuracy
in methods beyond coupled cluster. Further, at least for small system sizes, we
show that the same twist angle can also be found by comparing the energy
directly (at the level of second-order Moller-Plesset theory) suggesting a
route toward twist angle selection which requires minimal modification to
existing codes which can perform twist averaging.
