Figure 1

Comparison between (a) the Hall effect, (b) the valley Hall effect, and (c) the effect proposed in the text following the scheme of the original implementation of the experiment first proposed by Hall. The arrows indicate the flow of valley polarized electrons under the action of an external electric field or voltage [(a) and (b)] and of a time-dependent strain [in (c)]. In the latter case the total current is $\langle J_K^i+J_{K^{\prime }}^i\rangle \sim E_j^{el}$.Reuse & Permissions

Figure 2

(left) Proposed strain for a graphene ribbon as described in the main text. (right) Direction of the charge current for the two Dirac points in different edges.Reuse & Permissions