The chiral magnetic soliton, a spiral localized spin texture with quantized topological charges, has garnered significant attention from both scientific and technological perspectives. The Mn-intercalated ${\mathrm{Mn}}_{1/3}{\mathrm{TaS}}_2$ hosts a one-dimensional topological chiral magnetic soliton. This work thoroughly investigates the critical phenomenon of ${\mathrm{Mn}}_{1/3}{\mathrm{TaS}}_2$ single crystals. Fitting the magnetic entropy change yields critical exponents of $\beta =0.268\pm 0.006, \gamma =1.392\pm 0.008$, and $\delta =6.209\pm 0.007$ with a critical temperature $T_C=70.12\pm 0.01$ K. Using these critical exponents, the magnetic entropy change curves are scaled into an independent universal curve, indicating the reliability and convergence of these parameters. The critical exponents of ${\mathrm{Mn}}_{1/3}{\mathrm{TaS}}_2$ are close to those of the two-dimensional (2D) Ising model characterized by a spatial and spin dimensionality of $\{d:n\}=\{2:1\}$, which suggest strong anisotropic spin coupling in this system. Moreover, the spin interaction distance is estimated to decay as $J\left(r\right)\sim r^{-3.37\left(6\right)}$. The $H-T$ phase diagram for $H\perp c$ is constructed, distinguishing the chiral magnetic helimagnetism (CHM), chiral soliton lattice (CSL), forced ferromagnetism (FFM), and paramagnetic (PM) phases. This clarification of the magnetic coupling and phase diagram enhances the understanding of chiral topological magnetism.

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• Magnetic interactions
• Magnetic phase transitions
• Spintronics
• Chiral magnets
• Layered crystals
• Transition metal dichalcogenides
• Magnetization measurements