  We present and analyze spin models with long-range interactions whose ground
state features a so-called devil's staircase and where plateaus of the
staircase are accessed by varying two-body interactions. This is in contrast to
the canonical devil's staircase, for example occurring in the one-dimensional
Ising model with long-range interactions, where typically a single-body
chemical potential is varied to scan through the plateaus. These systems,
moreover, typically feature a particle-hole symmetry which trivially connects
the hole part of the staircase (filling fraction $f\geq1/2$) to its particle
part ($f\leq1/2$). Such symmetry is absent in our models and hence the particle
sector and the hole sector can be separately controlled, resulting in exotic
hybrid staircases.
