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Under the influence of an external magnetic field and spin-changingcollisions, the band insulator (BI) state of one-dimensional (1D) s-waverepulsively interacting 4-component fermions at half-filling transforms intoMott insulator (MI) states with spontaneously broken translational symmetry: adimerized state for shallow lattices and a N{\'e}el state for deep lattices viaan intermediate topological state. Since a BI has vanishing entropy perparticle, these MI phases could be particularly inviting for experimentalrealization under the similar conditions as those for $^{40}$K atoms [1],provided the magnetic field is changed adiabatically.

Magnetic field induced band insulator to Mott insulator transformations in 4-component alkali fermions at half-filling