Abstract
We obtain explicit expressions for elements of the magnetic susceptibility tensor in the dynamic spin-fluctuation theory. Using an analytic continuation of the Green’s functions, we show that the transverse susceptibility has spin-wave poles at low temperatures, yielding the asymptotic T3/2 law for magnetization. We derive an explicit expression for the coefficient in the T3/2 law based on the multiband Hubbard Hamiltonian and real band structure. We demonstrate the correct low-temperature behavior of magnetization in the example of iron.
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