Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2004-10-29
Phys. Rev. B 71, 184434 (2005)
Physics
Condensed Matter
Strongly Correlated Electrons
8 pages, 2 figures
Scientific paper
10.1103/PhysRevB.71.184434
The problem of weak ferromagnetism in antiferromagnets due to canting of magnetic moments was treated using Green's function technique. At first the eigenvalues and eigenfunctions of the electronic Hamiltonian corresponding to collinear magnetic configuration are calculated which are then used to determine first and second variations of the total energy as a function of the magnetic moments canting angle. Spin-orbit coupling is taken into account via perturbation theory. The results of calculations are used to determine an effective spin Hamiltonian. This Hamiltonian can be mapped on conventional spin Hamiltonian that allows to determine parameters of isotropic and anisotropic (Dzyaloshinskii-Moriya) exchange interactions. The method was applied to the typical antiferromagnets with weak ferromagnetism Fe$_{2}$O$_{3}$ and La$_{2}$CuO$_{4}$. The obtained directions and values of the magnetic moments canting angles are in a reasonable agreement with experimental data.
Anisimov Vladimir I.
Mazurenko V. V.
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