  The AdS/CFT correspondence is a realization of the holographic principle in
the context of string theory. It is a map between a quantum field theory and a
string theory living in one or more extra dimensions. Holography provides new
tools to study strongly-coupled quantum field theories. It has important
applications in quantum chromodynamics (QCD) and condensed matter (CM) systems,
which are usually complicated and strongly coupled. Quantum critical CM
theories have scaling symmetries and can be connected to higher-dimensional
scale invariant space-times. The Effective Holographic Theory paradigm may be
used to describe the low-energy (IR) holographic dynamics of quantum critical
systems by the Einstein-Maxwell-Dilaton (EMD) theory. We find the magnetic
critical scaling solutions of an EMD theory containing an extra parity-odd term
$F\wedge F$. Previous studies in the absence of magnetic fields have shown the
existence of quantum critical lines separated by quantum critical points. We
find this is also true in the presence of a magnetic field. The critical
solutions are characterized by the triplet of critical exponents
($\theta,z,\zeta$), the first two describing the geometry, while the latter
describes the charge density.
