One-dimensional zigzag chains offer a striking platform for hosting Dirac fermions protected by glide reflection symmetry, along with nearly flat electronic bands. Though rich in theoretical promise, these lattices are mostly found as structural fragments rather than in fully formed bulk crystals. In this study, we investigate the electronic structure of ferromagnetic ${\mathrm{FePd}}_2{\mathrm{Te}}_2$, with angle-resolved photoemission spectroscopy and density functional theory. We find out that the Fe zigzag chains contribute to Dirac-like dispersions and flat orbitals near $E_F$. With the presence of strong uniaxial ferromagnetism, both the Dirac fermions and the near-flat band are intrinsically spin polarized. Additionally, the presence of Weyl points near $E_F$ is predicted. ${\mathrm{FePd}}_2{\mathrm{Te}}_2$ could be the first quasi-1D system for investigating the Dirac point and flat bands, as well as emergent topological phenomena.

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• Electronic structure
• First-principles calculations
• Flat bands
• 1-dimensional systems
• Ferromagnets
• Angle-resolved photoemission spectroscopy
• Density functional theory
• Tight-binding model