We investigate the low-energy electronic properties of a two-dimensional topological semimetal hosted by a nonsymmorphic system with checkerboard antiferromagnetic order. Such a topological semimetallic state emerges only when the local magnetic moments align along the crystallographic direction, where the hopping is restricted to nearest neighbors and spin-orbit coupling acts between the next-nearest neighbors. We find that the quasiparticle states near Dirac or Weyl points exhibit pronounced anisotropy. Interplay of the spin-orbit coupling and magnetic moment orientation breaks the fourfold rotation symmetry, resulting in a strong directional dependence of the optical response. Using the $T$-matrix formalism, we further analyze quasiparticle interference for magnetic and nonmagnetic impurities exhibiting distinct sublattice- and spin-dependent features. The results highlight how the interplay between magnetic order and spin-orbit coupling governs anisotropic charge dynamics and impurity-induced interference, offering measurable signatures in optical and scanning tunneling spectroscopies.

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• Density of states
• Magnetic order
• Optical conductivity
• Spin-orbit coupling
• Topological materials