Including the Spin-Orbit Coupling: Difference between revisions
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Description: Spin-Orbit Coupling (SOC) included self-consistently | Description: Spin-Orbit Coupling (SOC) included self-consistently | ||
The Magnetocrystalline Anisotropy Energy is determined by rotating all spins according to different directions. To modify the orientation of the spins in the crystal, we consider the second approach | The Magnetocrystalline Anisotropy Energy is determined by rotating all spins according to different directions. To modify the orientation of the spins in the crystal, we consider the second approach described in the [[SAXIS|SAXIS]] page. For the [[MAGMOM|MAGMOM]]-tag, the total local magnetic moment is written according to the z direction (necessarily, the x and y-directions are equal to 0). The spin orientation [uvw] is defined by the [[SAXIS|SAXIS]]-tag in the Cartesian frame. The Magnetocrystalline Anisotropy Energy is calculated by orientating the spins in different directions and the following equation : E<sub>MAE</sub> = E<sub>[uvw]</sub> - E<sub>min</sub>, with E<sub>min</sub> the energy of the most stable spin orientation. | ||
Revision as of 10:21, 20 September 2018
Description: Spin-Orbit Coupling (SOC) included self-consistently
The Magnetocrystalline Anisotropy Energy is determined by rotating all spins according to different directions. To modify the orientation of the spins in the crystal, we consider the second approach described in the SAXIS page. For the MAGMOM-tag, the total local magnetic moment is written according to the z direction (necessarily, the x and y-directions are equal to 0). The spin orientation [uvw] is defined by the SAXIS-tag in the Cartesian frame. The Magnetocrystalline Anisotropy Energy is calculated by orientating the spins in different directions and the following equation : EMAE = E[uvw] - Emin, with Emin the energy of the most stable spin orientation.
More details are available in the SAXIS and LSORBIT pages.
Exercise : Determine the total magnetic moment by adding the orbital moment of the Ni atoms. Calculate the Magnetocrystalline Anisotropy Energy of NiO by orientating the spins along the following path : (2,2,2) --> (2,2,1) --> (2,2,0) --> ... --> (2,2,-6). Identify the most stable spin orientation according to this path.
NiO GGA+U SOC SYSTEM = "NiO" Electronic minimization ENCUT = 450 EDIFF = 1E-7 LORBIT = 11 LREAL = .False. ISTART = 0 ISYM = -1 NELMIN = 6 LSORBIT = .True. LWAVE = .False. LCHARG = .False. DOS ISMEAR = -5 Magnetism ISPIN = 2 MAGMOM = 0 0 2 0 0 -2 6*0 SAXIS = 2 2 2 Orbital Moment LORBMOM = T Mixer AMIX = 0.2 BMIX = 0.00001 AMIX_MAG = 0.8 BMIX_MAG = 0.00001 GGA+U LDAU = .TRUE. LDAUTYPE = 2 LDAUL = 2 -1 LDAUU = 5.00 0.00 LDAUJ = 0.00 0.00 LDAUPRINT = 2 LMAXMIX = 4
k-points 0 gamma 4 4 4 0 0 0
NiO 4.17 1.0 0.5 0.5 0.5 1.0 0.5 0.5 0.5 1.0 2 2 Cartesian 0.0 0.0 0.0 1.0 1.0 1.0 0.5 0.5 0.5 1.5 1.5 1.5
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