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We study what kind of topological crystalline insulator phase emerges fromnodal line semimetal phases in the face-centered cubic system which is notindicated by topological indices when spin-orbit coupling (SOC) is introduced.We construct an effective model which hosts two different nodal lines phases,and calculated mirror Chern numbers in it by introducing SOC. As a result, wefind that the two nodal line phases with different nodal line configurationsare mapped to different topological crystalline insulator phases. This resultshows that turning off SOC and checking the nodal line configuration candistinguish the two topological crystalline insulator phases, which have notbeen distinguished by previous methods.

Mapping rules from nodal line semimetal to topological crystalline insulator in face centered cubic lattice