Giant anomalous Hall effect and band folding in a Kagome metal with mixed dimensionality

Magnetic metals with geometric frustration offer a fertile ground for studying novel states of matter with strong quantum fluctuations and unique electromagnetic responses from conduction electrons coupled to spin textures. Recently, TbTi$_3$Bi$_4$ has emerged as such an intriguing platform as it behaves as a quasi-one-dimension (quasi-1D) Ising magnet with antiferromagnetic orderings at 20.4 K and 3 K, respectively. Magnetic fields along the Tb zigzag-chain direction reveal plateaus at 1/3 and 2/3 of saturated magnetization, respectively. At metamagnetic transition boundaries, a record-high anomalous Hall conductivity of 6.2 $\times$ 10$^5$ $\Omega^{-1}$ cm$^{-1}$ is observed. Within the plateau, noncollinear magnetic texture is suggested. In addition to the characteristic Kagome 2D electronic structure, ARPES unequivocally demonstrates quasi-1D electronic structure from the Tb 5$d$ bands and a quasi-1D hybridization gap in the magnetic state due to band folding with $q$ = (1/3, 0, 0) possibly from the spin-density-wave order along the Tb chain. These findings emphasize the crucial role of mixed dimensionality and the strong coupling between magnetic texture and electronic band structure in regulating physical properties of materials, offering new strategies for designing materials for future spintronics applications.