Abstract
A tight-binding model is used to study the energy band of graphene and
graphene ribbon under simple shear strain. The ribbon consists of lines
of carbon atoms in an armchair or zigzag orientation where a simple
shear strain is applied in the x-direction keeping the atomic distances
in the y-direction unchanged. Such modification in the lattice gives an
energy band that differs in several aspects from the one without any
shear and with pure shear. The changes in the spectrum depend on the
line displacement of the ribbon, and also on the modified hopping
parameter. It is also shown that this simple shear strain tunes the
electronic properties of both graphene and graphene ribbon, opening and
closing energy gaps for different displacements of the system. The
modified density of states is also shown.
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