  The chirality in soft triaxial nuclei is investigated for the first time with
the time-dependent and tilted axis cranking covariant density functional
theories on a three-dimensional space lattice in a microscopic and
self-consistent way. Taking the puzzling chiral nucleus $^{106}$Ag as an
example, the experimental energies of the observed nearly degenerate bands are
well reproduced without any free parameters beyond the well-defined density
functional. A novel chiral mode in soft triaxial nuclei is newly revealed from
the microscopic dynamics of the total angular momentum. This opens a new
research area for the study of chirality, particularly in relation to soft
nuclear shapes.
