  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.
