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We predict a new family of two-dimensional (2D) rare earth monochalcogenidematerials MX (M = Sc, Y; X = S, Se, Te). Based on first-principlescalculations, we confirm their stability and systematically investigate theirmechanical properties. We find that these materials are metallic andinterestingly, they possess nodal lines in the low-energy band structuresurrounding the whole Brillouin zone, protected by nonsymmorphic crystalsymmetries in the absence of spin-orbit coupling (SOC). SOC opens small energygaps at the nodal line, except for two high-symmetry points, at which fourfolddegenerate 2D spin-orbit Dirac points are obtained. We show that thesetopological band features are robust under uniaxial and biaxial strains, butcan be lifted by the shear strain. We also investigate the opticalconductivities of these materials, and show that the transformation of the bandstructure under strain can be inferred from the optical absorption spectrum.Our work reveals a new family of 2D topological metal materials withinteresting mechanical and electronic properties, which will facilitate thestudy of nonsymmorphic symmetry enabled nodal features in 2D.

Nonsymmorphic nodal-line metals in the two-dimensional rare earth monochalcogenides MX (M = Sc, Y; X = S, Se, Te)