  Using ab initio density functional theory (DFT), we demonstrated the
possibility of controlling the magnetic ground-state properties of bilayer
CrCl$_{3}$ by means of mechanical strains and electric fields. In principle, we
investigated the influence of these two fields on parameters describing the
spin Hamiltonian of the system. The obtained results show that biaxial strains
change the magnetic ground state between ferromagnetic (FM) and
antiferromagnetic (AFM) phases. The mechanical strain also affects the
direction and amplitude of the uniaxial magnetic anisotropy (MAE). Importantly,
the direction and amplitude of the Dzyaloshinskii-Moriya vectors are also
highly tunable under external strain and electric fields. The competition
between nearest neighbor interaction, MAE, and Dzyaloshinskii-Moriya
interactions can lead to the stabilization of various exotic spin textures and
novel magnetic excitations. The high tunability of magnetic properties by
external fields makes bilayer CrCl$_{3}$ a promising candidate for application
in the emerging field of two-dimensional quantum spintronics and magnonics.
