  We investigate the electronic structure and transport properties of twisted
bilayer graphene (TBLG) at a twist angle of $\theta\approx 1.696\text{{\deg}}$.
Using a combination of molecular dynamics and tight-binding calculations, we
find two superlattice gaps in the energy spectrum of the bulk, which emerge
close to the Fermi level from the atomic rearrangement of the carbon atoms
leading to a corrugation of the graphene sheets. Nanoribbons made from
1.696{\deg}-TBLG show edge-localized states inside the superlattice gaps.
Applying the Green's function method, we demonstrate that the edge states carry
electronic current with conductance values close to the conductance quantum.
The edge states can generate a non-local resistance, which is not due to
one-way transport at the edges but due to the fact that these states are
localized only at certain edges of the system, depending on how the nanoribbon
has been cut from the bulk.
