The effect of a variable coupling parameter on the tunneling properties from graphene to α-T3 model

The transmission properties for square potential barriers have been investigated and compared from graphene to a dice lattice via a variable coupling parameter. There are two limiting cases of pseudospin 1/2 and 1, respectively. The perfect Klein tunneling has been obtained for all parameter conditions. With the increase of the coupling parameter, the tunneling probability increases at oblique incidence. The tunneling shows little dependence on the number of barriers for the dice model. However, the barrier number is an effective factor to tune the transmission feature in graphene. The tunneling peaks can be analyzed from the energy band structure in the expanded periodic potential system and the wave function distribution in the well/barrier regions. The present findings are useful in the development of electronic devices based on quantum transport property with massless pseudospin particles.