  We predict an anomalous thermal Hall effect (ATHE) mediated by photons in
networks of Weyl semi-metals. Contrary to the photon thermal Hall effect in
magneto-optical systems which requires the application of an external magnetic
field the ATHE in a Weyl semi-metals network is an intrinsic property of these
systems. Since the Weyl semi-metals can exhibit a strong nonreciprocal response
in the infrared over a broad spectral range the magnitude of thermal Hall flux
in these systems can be relatively large compared to the primary flux. This
ATHE paves the way for a directional control of heat flux by localy tuning the
magnitude of temperature field without changing the direction of temperature
gradient.
