2015/01/09 by Mikito Koshino · 2 citations
Physics and Astronomy · #cond-mat.mes-hall
paper · pdf · doi:10.1088/1367-2630/17/1/015014
published as New J. Phys. 17 015014 (2015) · 12 pages, 5 figures, to be published in New Journal of Physics
arxiv created 2015/01/09 · arxiv updated 2015/06/23
We present a general theoretical formulation to describe the interlayer interaction in incommensurate bilayer systems with arbitrary crystal structures. By starting from the tight- binding model with the distance-dependent transfer integral, we show that the interlayer coupling, which is highly complex in the real space, can be simply written in terms of generalized Umklapp process in the reciprocal space. The formulation is useful to describe the interaction in the two-dimensional interface of different materials with arbitrary lattice structures and relative orientations. We apply the method to the incommensurate bilayer graphene with a large rotation angle, which cannot be treated as a long-range moiré superlattice, and obtain the quasi band structure and density of states within the first-order approximation.