  Frustrated quantum spin systems exhibit exotic physics induced by external
magnetic field with anisotropic interactions. Here, we study the effect of
non-uniform Dzyaloshinskii-Moriya (DM) interactions on a quasi-two-dimensional
Shastry-Sutherland lattice using a matrix product states (MPS) algorithm. We
first recover the magnetization plateau structure present in this geometry and
then we show that both interdimer and intradimer DM interactions significantly
modify the plateaux. The non-number-conserving intradimer interaction smoothens
the shape of the magnetization curve, while the number-conserving interdimer
interaction induces different small plateaux, which are signatures of the
finite size of the system. Interestingly, the interdimer DM interaction induces
chirality in the system. We thus characterize these chiral phases with
particular emphasis to their robustness against intradimer DM interactions.
