  Quasicrystals have been the subject of intense research in the discipline of
condensed matter physics due to their non-trivial characteristic features. In
the present work we put forward a new prescription to realize both charge and
spin current rectifications considering a one-dimensional quasicrystal whose
site energies and/or nearest-neighbor hopping (NNH) integrals are modulated in
the form of well known Aubry-Andr\'{e} or Harper (AAH) model, a classic example
of an aperiodic system. Each site of the chain contains a finite magnetic
moment which is responsible for spin separation, and, in presence of finite
bias an electric field is generated along the chain which essentially makes the
asymmetric band structures under forward and reverse biased conditions,
yielding finite rectification. Rectification is observed in two forms: (i)
positive and (ii) negative, depending on the sign of currents in two bias
polarities. These two forms can only be observed in the case of spin current
rectification, while charge current shows conventional rectification operation.
Moreover, we discuss how rectification ratio and especially its direction can
be controlled by AAH phase which is always beneficial for efficient designing
of a device. Finally, we critically examine the role of dephasing on
rectification operations. Our study gives a new platform to analyze current
rectification at nano-scale level, and can be verified in different
quasi-crystals along with quantum Hall systems.
