In this study, we investigated the electronic conductance of two typical single-wall nanotubes with square lattice by using Green’s function method in tight-binding approximation. Then the effect of various factors such as presence of symmetrical bond defects, the distance between two defects and the nanotube hopping energies was studied on the system electronic conductance. The square and rhom...

In this study, we derive analytically Green’s function (GF) formalism to calculate the electrical conductance for an armchair SWCNT in the ballistic regime. We obtain an exact analytical formula for the conductance of the SWCNT, in the tight-binding approach and assuming nearest-neighbor interaction by recursion process in the GF formalism. We show that in the presence of uniform external poten...

 Hubbard model is an important model in the theory of strongly correlated electron systems. In this contribution we introduce this model and the concepts of electron correlation by building on a tight binding model. After enumerating various methods of tackling the Hubbard model, we introduce the numerical method of exact diagonalization in detail. The book keeping and practical implementation ...

In this paper, we investigate the electrical conductance and density of states of a nanocrystal including an electrical charge or dipole located at cross section of nanocrystal by using Green’s function method in the nearest neighbor tight-binding approach. The results show that moving the electrical charge from center to the edge of the nanocrystal increases the system transmission coefficient...

  The quantum dynamics of a charged particle in an infinite chain of single-state quantum wells, in tight-binding approximation and under the action of an arbitrary time-dependent external field is investigated. The connection between the Hamiltonian description of this model and the Hamiltonian of a discrete-charge mesoscopic quantum circuit is elucidated. Based on this connection, the persist...