  A partially filled Landau level (LL) hosts a variety of correlated states of
matter with unique properties. The ability to control these phases requires
tuning the effective electron interactions within a LL, which has been
difficult to achieve in GaAs-based structures. Here we consider a class of
Dirac materials in which the chiral band structure, along with the mass term,
gives rise to a wide tunability of the effective interactions by the magnetic
field. This tunability is such that different phases can occur in a single LL,
and phase transitions between them can be driven in situ. The incompressible,
Abelian and non-Abelian, liquids are stabilized in interaction regimes
different from GaAs. Our study points to a realistic method of controlling the
correlated phases and studying the phase transitions between them in materials
such as graphene, bilayer graphene, and topological insulators.
