  The spectrum of charged particles hopping on a kagome lattice in a uniform
transverse magnetic field shows an unusual set of Landau levels at low field.
They are unusual in two respects: the lowest Landau levels are paramagnetic so
their energies decrease linearly with increasing field magnitude, and the
spacings between the levels are not equal. These features are shown to follow
from the degeneracy of the energy bands in zero magnetic field. We give a
general discussion of Landau levels in the case of two degenerate bands, and
show how the kagome lattice tight-binding model includes one special case of
this more general problem. We also discuss the consequences of this for the
behavior of the critical temperature of a kagome grid superconducting wire
network, which is the experimental system that originally motivated this work.
