Transmission of the Relativistic Fermions With the Pseudospin Equal to One Through the Quasi‐Periodic Barriers

Abstract

The focus of our work is to explore quasiparticle transmission through the quasi‐periodic superlattices based on the Lieb lattice, in which the fermion pseudo‐spin equals 1. We are the first to calculate and analyze the transmission spectra (quasiparticle transmission dependences on their energy) for such structures. The quasi‐periodic modulation is created with the help of the external electrostatic potential in the form of the rectangular barriers located along the axis of the superlattice. Our observations provide that the effective Fibonacci modulation is achieved by the alternation of the potential barriers heights in the various elements of the superlattice. For massless fermions, the quasi‐periodic modulation takes place under the conditions of the oblique incidence of the particles. For massive fermions, the quasi‐periodic modulation is observed both for the oblique and the normal incidence. Besides, we define the special importance of a super Klein tunneling band in the transmission spectra. The present study provides a thorough analysis of the transmission spectra dependence on the parameters of the problem. The conductivity of the structure considered is also analyzed. For a definite parameter set, the transmission spectra values for pseudospin‐1 fermions (Lieb lattice) and those of pseudospin‐1/2 (graphene) coincide. Our findings may have useful implications in the development of nanoelectronic devices based on the Lieb lattice.