Recurrence in Resonant Transmission of One-Dimensional Array of Delta Potentials

Abstract

The resonant transmission of a moving particle which interacts with an one-dimensional array of N δ-function potentials is investigated. A suitable transfer matrix formulation is used to obtain the particle transmission. We give the parameters for perfect tunnelling and the transcendental equation for the quasi-bound state energies for N = 2, 3 and 4. Conditions for perfect tunnelling and resonant transmission are discussed for arrays with arbitrary N . A model to explain how the tunnelling energy filter works in these systems is proposed here.

Entanglement of magnetic impurities through electron scattering in an electric field

“…3 shows the case when the separation between impurities is increased to 100 nm. We note that the resonant behaviour is evidenced by the presence of pseudo-bound states between δ-function potentials [42], which are more abundant for larger impurities separations and can enhance the spin interaction. In both, transmission and reflection plots, the oscillations in the concurrence and probability values are not periodic.…”