2020
DOI: 10.1103/physrevb.102.014457
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Ab initio methodology for magnetic exchange parameters: Generic four-state energy mapping onto a Heisenberg spin Hamiltonian

Abstract: The recent development in the field of two-dimensional magnetic materials urges reliable theoretical methodology for determination of magnetic properties. Among the available methods, ab initio four-state energy mapping based on density functional theory stands out as a powerful technique to calculate the magnetic exchange interaction in the Heisenberg spin model. Although the required formulas were explained in earlier works, the considered Hamiltonian in those studies always corresponded to the specific case… Show more

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Cited by 42 publications
(26 citation statements)
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References 30 publications
(85 reference statements)
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“…Here J ij and A i are the exchange and single ion anisotropy (SIA) matrices, respectively, and S i = (S x i , S y i , S z i ) is the spin vector at the i th site. We consider S = 3/2 for the Cr 3+ ions, with 3 unpaired valence electrons and quenched orbital moment (L = 0), which yields a magnetic moment of ∼ 3µ B per Cr atom, in agreement with the experimental observations 11,12,[20][21][22] .…”
Section: Atomistic Spin Simulationssupporting
confidence: 76%
“…Here J ij and A i are the exchange and single ion anisotropy (SIA) matrices, respectively, and S i = (S x i , S y i , S z i ) is the spin vector at the i th site. We consider S = 3/2 for the Cr 3+ ions, with 3 unpaired valence electrons and quenched orbital moment (L = 0), which yields a magnetic moment of ∼ 3µ B per Cr atom, in agreement with the experimental observations 11,12,[20][21][22] .…”
Section: Atomistic Spin Simulationssupporting
confidence: 76%
“…While computational methods to determine the coupling coefficients for magnetic materials from DFT exist 27,28 , they typically require using a spin Hamiltonian and accurately tuning the U parameter in the Hubbard model 28 to produce accurate results. Additionally, the four-state method 7,29,30 also exists to compute the exchange coefficients, though it relies on knowing four precise magnetic configurations of the system to accurately map the energies of these configurations to the Hamiltonian for the system. As such, we instead examine the energy differences between the lowest energy AFM configuration and the FM configuration as a proxy to this coupling term to screen for compounds with interacting spins.…”
Section: Methodsmentioning
confidence: 99%
“…To obtain magnetic parameters, we employed four-state energy mapping methodology. 28,29 When different magnetic configurations are examined, the magnetic moments are constrained in desired directions, in order to prevent their relaxation into the ground state configuration (or any stable configuration other than desired one) during the self-consistent procedure. Heisenberg spin Hamiltonian is considered in the form:…”
Section: Computational Methodologymentioning
confidence: 99%