Boolean circuits which correspond to L/poly Branching programs are usually used as a computation model for non-uniform logarithmic space $\mathsf{L}/\mathrm{poly}$.
Is there a reference about Boolean circuits corresponding to $\mathsf{L}/\mathrm{poly}$?

Intuitively, bounded space Turing machines seem to correspond to bounded width Boolean circuits, but I can't find a reference.
Is there a reason that branching programs are used for $\mathsf{L}/\mathrm{poly}$ and Boolean circuits are not used?

[Addition after Sam McGuire's answer (in comments)]

Actually, I'm most interested in Boolean circuits corresponding to $\mathsf{L}/\mathrm{quasipoly}$.
I guess that it is quasipolynomial-size $O(\log n)$-width Boolean circuits.

I would like to know that, whether it is right or not, whether I should prove it myself or not, whether it is known and there's a reference or not.
$\mathsf{L}/\mathrm{poly}$ can be characterized by polynomial size skew circuits. A boolean circuit is called skew if every AND-gate has at most one child that is not an input gate. Skew circuits and branching programs can simulate each other with polynomial blow-up, so polynomial size skew circuits and branching programs compute the same class of functions, which is $\mathsf{L}/\mathrm{poly}$.

A proof of these simulations can e.g. be found in this paper by Balaji, Krebs and Limaye.