  As the three-dimensional analogs of graphene, Weyl semimetals display
signatures of chiral anomaly which arises from charge pumping between the
lowest chiral Landau levels of the Weyl nodes in the presence of parallel
electric and magnetic fields. In this work, we study the pseudo chiral anomaly
and its transport signatures in graphene ribbon with zigzag edges. Here
"pseudo" refers to the case where the inverse of width of zigzag graphene
ribbon plays the same role as magnetic field in three-dimensional Weyl
semimetals. The valley chiral bands in zigzag graphene ribbons can be
introduced by edge potentials, giving rise to the nonconservation of chiral
current, i.e., pseudo chiral anomaly, in the presence of a longitudinal
electric field. Further numerical results reveal that pseudo
magnetoconductivity of zigzag graphene ribbons is positive and has a nearly
quadratic dependence on the pseudofield, which is regarded as the transport
signature of pseudo chiral anomaly.
