Designing Directional Traffic Flow With Edge Mode Combination in 2-D Topological Structures

We demonstrate directional vehicular traffic using a two-dimensional honeycomb-shaped topological structure. We consider a hexagonal street network modeled with vertices and edges, and numerically simulate vehicular transport as a symmetric random walk between vertices. We show that two topologically protected modes lead to traffic flows in orthogonal directions. Additionally, we introduce a synthesized mode that combines topological edge modes. This synthesized mode enables traffic to flow in specific direction by adjusting the combined weights. Our investigation offers an approach for optimizing urban traffic management, enhancing traffic efficiency, and reducing congestion in urban environments.