Conductance in modulated nanowires

We study two-dimensional (2D) modulated nanowires of length L and width N atoms. The modulated quantum wire is connected to both sides with two semi-infinite perfectly ordered wires. We study the conductance of the modulated nanowires as a function of the degree of modulation and the Fermi energy of the electron. We employ the tight-binding approximation for the off-diagonal matrix elements of the Hamiltonian in order to describe the quantum wire and a many-channel Landauer formula in order to find its conductance. We present results for the above modulated nanowires where the diagonal matrix elements take values randomly from a set of two energies.