Snake states are open trajectories for charged particles propagating in two dimensions
under the influence of a spatially varying perpendicular magnetic field. In the quantum limit
they are protected edge modes that separate topologically inequivalent ground states and
can also occur when the particle density rather than the field is made nonuniform. We
examine the correspondence of snake trajectories in single-layer graphene in the quantum
limit for two families of domain walls:(a) a uniform doped carrier density in an antisymmetric …

Snake states are open trajectories for charged particles moving in two dimensions under the
influence of a spatially varying perpendicular magnetic field. They can also occur in a
constant perpendicular magnetic field when the particle density is made nonuniform as
realized at a pn junction in a semiconductor, or in graphene. We examine the
correspondence of such trajectories in monolayer graphene in the quantum limit for two
families of domain walls:(a) a uniform doped carrier density in an antisymmetric …