  We show conduction bands of artificial gauge field assisted atom flow in
triangle optical lattice. The conduction bands are result from periodicity
boundary condition of artificial magnetic flux induced phases of atoms. The
positions of conduction bands depend on geometry of the atom trajectory. We
consider a cell of the triangle optical lattice which is a opened system
connected to its environment of Fermion atom clouds. The chemical potentials of
the atom clouds are the same and the atom flow is absolutely created by a clock
laser induced spin-orbit coupling. Our results are important for the control of
atom flow in quantum circuits.
