  We report transport properties and particle current rectification operation
in a double-stranded tight-binding ladder network within non-equilibrium
Green's function (NEGF) formalism that can easily be generalized in
multi-stranded systems. First, we explore the rectification operation
considering the model of an artificial double-stranded DNA (dsDNA) molecular
system with Fibonacci type substitutional sequence. Substitutional sequences
form quasi-periodic potentials. This analysis may shed new light in designing
efficient nanoscale rectifier. It can also be directly implemented to different
biomolecular systems like nucleic acids and most proteins as they follow
quasi-periodic orders. Motivated with this fact, we consider different
configurations depending on the choices of on-site energies and/or inter or
intra strand nearest-neighbor hopping integrals in the form of
Aubry-Andr\'{e}-Harper (AAH) model (that also obeys quasi-periodic order), and
in all the cases we find almost $100\%$ current rectification even at very low
bias region. Along with this, we observe that the phase (positive or negative)
of rectification can suitably be engineered by tuning the Fermi energy and AAH
phase. The effects of electron-electron (e-e) interaction and temperature are
also studied, which show that a reasonably large rectification can be observed
even for moderate temperature range and e-e interaction strength.
