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It should be noted that the value of J is very small, especially in the C1 REC structure. The reason why AFM competes with and narrowly wins over with FM is discussed earlier in the paper. Our tentative conclusion is that it is related to the unfavorable circumstance that a bridging Ir atom must acquire a spin polarization in the FM state, whereas spin polarization has a node at that atom in the AFM state. Of course with J values in the meV range there can be no order, even of the Kosterlitz-Thouless type, unless temperature is hundreds of milliKelvin-which however is where spin-polarized STM experiments are usually performed.
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