Based on ab initio Monte Carlo approach, finite-temperature magnetism of tetragonal Fe is studied. It is shown that the ground state magnetic structure changes from ferromagnetic to antiferromagnetic as the structure transforms from bcc to fcc. The Curie temperature (TC) or Néel temperatures (TN) are very sensitive to the lattice distortion, which decreases from bcc to fcc and then increases over the fcc range. There are a maximum of TC at the bcc and a minimum of TN around the fcc limit due to the change of the coupling distance and symmetry consideration.

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The total exchange energy can be described with 12[8J1L+2J2L+4J0].

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Here, the exchange parameter J is insensitive to the small change in volume. For example, the 4J1L with bcc structure are estimated to be 14.56 and 14.97mRy as the volume changing from 11.35to11.67Å3at., respectively.

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