  The emergent concept of magnetic charge quasi-particle provides a new realm
to study the evolution of magnetic properties in two-dimensional artificially
frustrated magnets. We report on the exploration of magnetic phases due to
various magnetic charge correlation using the complementary numerical
techniques of micromagnetic and distorted wave Born approximation simulations
in artificial permalloy honeycomb lattice. The honeycomb element length varies
between 10 nm and 100 nm, while the width and thickness are kept within the
single domain limit. In addition to the charge ordered loop state, we observe
disordered charge arrangement, characterized by the random distribution of
$\pm$Q charges, in single domain size honeycomb lattice. As the length of
honeycomb element increases, low multiplicity magnetic charges tend to form
contiguous bands in thinner lattice. Thin honeycomb lattice with 100 nm element
length exhibits a perfect spin ice pattern, which remains unaffected to the
modest increase in the width of element size. We simulate scattering profiles
under the pretext of distorted wave Born approximation formalism for the
micromagnetic phases. The results are expected to provide useful guidance in
the experimental investigation of magnetic phases in artificial honeycomb
magnet.
