  We study generic types of holographic matter residing in Lifshitz invariant
defect field theory as modeled by adding probe D-branes in the bulk black hole
spacetime characterized by dynamical exponent $z$ and with hyperscaling
violation exponent $\theta$. Our main focus will be on the collective
excitations of the dense matter in the presence of an external magnetic field.
Constraining the defect field theory to 2+1 dimensions, we will also allow the
gauge fields become dynamical and study the properties of a strongly coupled
anyonic fluid. We will deduce the universal properties of holographic matter
and find that the Einstein relation always holds.
