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Magnetic barriers in graphene are not easily tunable. However, introducingboth electric and magnetic fields, provides tunable and far more controllableelectronic states in graphene. Here we study such systems. A one-dimensionalchannel can be formed in graphene using perpendicular electric and magneticfields. This channel (quantum wire) supports localized electron-hole states,with parameters that can be controlled by an electric field. Such quantum wireoffers peculiar conducting properties, like unidirectional conductivity androbustness to disorder. Two separate quantum wires comprise a waveguide withtwo types of eigenmodes: one type is similar to traditional waveguides, theother type is formed by coupled surface waves propagating along the boundariesof the waveguide.

Tunable electronic transport and unidirectional quantum wires in graphene subjected to electric and magnetic fields