Landauer conductance of generalized Fibonacci-type semiconductor superlattices

The quantum model of quasi-one dimensional generalized Fibonacci semiconductor superlattice with mass of the charge carriers depending on the position in superlattice is formulated. The Landauer electrical conductance σL of generalized Fibonacci semiconductor superlattice is studied analytically and numerically. The dynamical maps allowing us to calculate σL of the studied systems are presented. It is shown that σL as a function of incident energy E of charge carriers oscillates strongly and exhibits the resonant character. We have verified numerically that σL(E) reaches its local maximum for energies E corresponding to energy eigenvalues of charges in superlattice. (author)