Magnetism in parent Fe-chalcogenides: quantum fluctuations select a plaquette order

Abstract

We analyze magnetic order in iron-chalcogenide Fe${}_{1+y}$Te -- the parent compound of high-temperature superconductor Fe${}_{1+y}$Te${}_{1-x}$Se${}_x$. Neutron scattering experiments show that magnetic order in this material contains components with momentum $Q_1=(\pi /2,\pi /2)$ and $Q_2=(\pi /2,-\pi /2)$ in Fe-only Brillouin zone. The actual spin order depends on the interplay between these two components. Previous works argued that spin order is a single-$Q$ state (either $Q_1$ or $Q_2$). Such an order breaks rotational $C_4$ symmetry and order spins into a double diagonal stripe. We show that quantum fluctuations actually select another order -- a double $Q$ plaquette state with equal weight of $Q_1$ and $Q_2$ components, which preserves $C_4$ symmetry but breaks $Z_4$ translational symmetry. We argue that the plaquette state is consistent with recent neutron scattering experiments on Fe${}_{1+y}$Te.

8 pages, 3 figures

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