  We consider the problem of confining the famously elusive Dirac-like
quasiparticles, as found in some recently discovered low-dimensional systems.
After briefly surveying the existing theoretical proposals for creating bound
states in Dirac materials, we study relativistic excitations with a
position-dependent mass term. With the aid of an exactly-solvable model, we
show how bound states begin to emerge after a critical condition on the size of
the mass term is met. We also reveal some exotic properties of the unusual
confinement discovered, including an elegant chevron structure of the bound
state energies as a function of the size of the mass.
