Non-Fermi liquid behavior occurs in systems with enhanced electron correlation, violating the conventional Landau's Fermi liquid theory. Understanding the nature of this behavior remains an essential aspect of studying unconventional superconducting and quantum phase transitions. In this paper we report the potential presence of non-Fermi liquid behavior in single crystals of ${\mathrm{TbAl}}_2{\mathrm{Si}}_2$ with ${\mathrm{CaAl}}_2{\mathrm{Si}}_2$-type structure. The magnetic susceptibility and heat capacity reveal two magnetic phase transitions at $T{}_{N1}$ = 15.5 K and $T{}_{N2}$ = 12.5 K. Multiple field-induced magnetic phase transitions are observed in field-dependent magnetization. Neutron powder diffraction reveals an incommensurate spin density wave order for ${\mathrm{TbAl}}_2{\mathrm{Si}}_2$ with a propagation vector $k$ = (0, 0.283, 0.0262) below $T_{N1}$ and a spin reorientation transition at $T_{N2}$. Moreover, the electrical resistivity of ${\mathrm{TbAl}}_2{\mathrm{Si}}_2$ exhibits a nearly linear temperature dependence at 2–5 K reminiscent of non-Fermi liquid behavior, which is also confirmed by the logarithmic increase of magnetic susceptibility $\chi$ in the same temperature range. Upon ramping up the magnetic field, the non-Fermi-liquid-like behavior remains robust until it evolves into a Fermi liquid state at 40 kOe. As a result, this possible coexistence of non-Fermi liquid behavior and an incommensurate spin density wave in a Tb-based compound provides opportunities for investigating non-Fermi liquid behavior and its correlation with magnetism.

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• Magnetism
• Spin density waves
• Triangular lattice
• Neutron diffraction