  We show that topological frequency band structures emerge in two-dimensional
electromagnetic lattices of metamaterial components without the application of
an external magnetic field. The topological nature of the band structure
manifests itself by the occurrence of exceptional points in the band structure
or by the emergence of one-way guided modes. Based on an EM network with nearly
flat frequency bands of nontrivial topology, we propose a coupled-cavity
lattice made of superconducting transmission lines and cavity QED components
which is described by the Janes-Cummings-Hubbard model and can serve as
simulator of the fractional quantum Hall effect.
