Tunnel Valley Current Filter in the Partially Overlapped Graphene under the Vertical Electric Field

The tunnel current (TC) and valley current (VC) are crucial in realizing high-speed and energy-saving in next-generation devices. This paper presents the TC and VC link in the partially overlapped graphene. Under the vertical electric field, the two graphene layers have the opposite AB sublattice symmetry, followed by a block on the intravalley transmission. In the allowed intervalley transmission, the difference in the phase of the decay factor prefers only one of the valleys in the output according to the overlapped length. These results suggest that the band gap with no edge state is a new platform of valleytronics.
Comment: 14 pages, 4 figures