Abstract Let $F_{\pi }$ be a finite Galois-algebra extension of number field F , with group G . Suppose that }/F$ is weakly ramified and the square root $A_\pi $ inverse different $\mathfrak {D}_{\pi }^{-1}$ defined. (This latter condition holds if, for example, $|G|$ odd.) Erez has conjectured class $(A_\pi )$ in locally free $\operatorname {\mathrm {Cl}}(\mathbf {Z} G)$ $\mathbf G$ equal to C...

Periodically driven (Floquet) phases are attractive due to their ability host unique physical phenomena with no static counterparts. We propose a general approach in nontrivially devising square-root version of existing Floquet phases, applicable both noninteracting and interacting setting. The resulting systems found yield richer physics that is otherwise absent the original counterparts robus...