Superzone gap formation induced by ferroic orders

We demonstrate that a superzone gap, typically associated with antiferroic ordering, can also emerge from ferroic orders in systems with sublattice degrees of freedom. By analyzing a $p$-orbital tight-binding model on a zigzag chain, we show that a Su--Schrieffer--Heeger-type gap is induced by ferroquadrupolar or ferromagnetic order or by applying an external magnetic field.