  We consider magnetic catalysis in a field-theoretic system of
(3+1)-dimensional Dirac fermions with anisotropic kinetic term. By placing the
system in a strong external magnetic field, we examine magnetically-induced
fermion mass generation. When the coupling anisotropy is strong, in which case
the fermions effectively localize on the plane, we find a significant
enhancement of the induced mass gap compared to the isotropic four-dimensional
case of quantum electrodynamics. As expected on purely dimensional grounds, the
mass and critical temperature scale with the square root of the magnetic field.
This phenomenon might be related to recent experimental findings on
magnetically-induced gaps at the nodes of d-wave superconducting gaps in
high-temperature cuprates.
