Topological Properties of the Nodal Surface Crystal

A cold atomic lattice scheme of realizing the nodal surface crystal was proposed and its topological properties were investigated. By adjusting laser parameters, the system can reach three different phases, i.e., topological metallic phase, trivial metallic phase and band insulating phase. The relation among nodal surface, energy band, edge states and density of states in different phases were studied, and the results reveal that the topologically protected surface state can be found in the nodal surface crystal, i.e., the system shows the features of a topological metal.