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We examine vortex flow states in periodic square pinning arrays with one rowand one column of pinning sites removed to create an easy flow crossed channelgeometry. When a drive is simultaneously applied along both major symmetry axesof the pinning array such that vortices move in both channels, a series ofcoherent flow states develop in the channel intersection at rational ratios ofthe drive components in each symmetry direction when the vortices can cross theintersection without local collisions. The coherent flow states are correlatedwith a series of anomalies in the velocity force curves, and in some cases canproduce negative differential conductivity. The same general behavior couldalso be realized in other systems including colloids, particle traffic inmicrofluidic devices, or Wigner crystals in crossed one-dimensional channels.

Coherent and Incoherent Vortex Flow States in Crossed Channels