Theory of Magnetic Order in $F{e}_{1+y}T{e}_{1-x}S{e}_x$

Abstract

We develop a local spin model to explain the rich magnetic structures in the iron-based superconductors $F{e}_{1+y}T{e}_{1-x}S{e}_x$. We show that our model exhibits both commensurate antiferromagnetic and incommensurate magnetic order along the crystal a-axis. The transition from the commensurate to the incommensurate phase is induced when the concentration of excess $Fe$ atoms is larger than a critical value. Experimentally measurable spin-wave features are calculated, and the mean-field phase diagram of the model is obtained. Our model also suggests the existence of a large quantum critical region due to strong spin frustration upon increasing $Se$ concentration.

5 pages, 4 figures

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