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We study the momentum- and temperature dependencies of magneticsusceptibilities and magnetic exchange in paramagnetic fcc iron by acombination of density functional theory and supercell dynamical mean-fieldtheory (DFT+DMFT). We find that in agreement with experimental results theantiferromagnetic correlations with the wave vector close to $(0,0,2\pi)$dominate at low temperatures (as was also obtained previously theoretically),while the antiferromagnetic and ferromagnetic correlations closely compete atthe temperatures $T\sim 1000$ K, where $\gamma$-iron exists in nature. Inversestaggered susceptibility has linear temperature dependence at low temperatures,with negative Weiss temperature $\theta_{\rm stagg} \approx -340$ K; theinverse local susceptibility is also linear at not too low temperatures,showing well formed local moments. Analysis of magnetic exchange shows that thedominant contribution comes from first two coordination spheres. In agreementwith the analysis of the susceptibility, the nearest-neighbor exchange is foundto be antiferromagnetic at low temperatures, while at temperature of the$\alpha$-$\gamma$ structural phase transition its absolute value becomes small,and the system appears on the boundary between the regimes with strongestantiferro- and ferromagnetic correlations.

Magnetic exchange and susceptibilities in fcc iron: A supercell dynamical mean-field theory study