  We demonstrate the existence of a new topologically ordered phase in Kitaev's
honeycomb lattice model. This new phase appears due to the presence of a vortex
lattice and it supports chiral Abelian anyons. We characterize the phase by its
low-energy behavior that is described by a distinct number of Dirac fermions.
We identify two physically distinct types of topological phase transitions and
obtain analytically the critical behavior of the extended phase space. The
Fermi surface evolution associated with the transitions is shown to be due to
the Dirac fermions coupling to chiral gauge fields. Finally, we describe how
the new phase can be understood in terms of interactions between the anyonic
vortices.
