  In this work we study the quantum dynamics emerging when quantum emitters
exchange excitations with a two-dimensional bosonic bath with hexagonal
symmetry. We show that a single quantum emitter spectrally tuned to the middle
of the band relaxes following a logarithmic law in time due to the existence of
a singular point with vanishing density of states, i.e., the Dirac point.
Moreover, when several emitters are coupled to the bath at that frequency,
long-range coherent interactions between them appear which decay inversely
proportional to their distance without exponential attenuation. We analyze both
the finite and infinite system situation using both perturbative and
non-perturbative methods.
