2019
DOI: 10.1103/physrevb.99.214436
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Landau-Lifshitz-Bloch equation for domain wall motion in antiferromagnets

Abstract: In this work, we derive the Landau-Lifshitz-Bloch equation accounting for the multi-domain antiferromagnetic (AFM) lattice at finite temperature, in order to investigate the domain wall (DW) motion, the core issue for AFM spintronics. The continuity equation of the staggered magnetization is obtained using the continuum approximation, allowing an analytical calculation on the domain wall dynamics. The influence of temperature on the static domain wall profile is investigated, and the analytical calculations re… Show more

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Cited by 10 publications
(6 citation statements)
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“…Using the values for J 1 to J 3 in Table I yields A(T = 0 K) = 2.34 × 10 −11 J/m, which agrees well with calculations of the exchange stiffness through atomistic simulations of the DW width, as shown in Fig. 10 We should emphasize here that we use a different equation for the exchange coupling to Chen et al [58]. They use an exchange term that sums over the opposite sublattice in the neighbouring macrospins.…”
Section: Domain Wall Motionsupporting
confidence: 79%
See 1 more Smart Citation
“…Using the values for J 1 to J 3 in Table I yields A(T = 0 K) = 2.34 × 10 −11 J/m, which agrees well with calculations of the exchange stiffness through atomistic simulations of the DW width, as shown in Fig. 10 We should emphasize here that we use a different equation for the exchange coupling to Chen et al [58]. They use an exchange term that sums over the opposite sublattice in the neighbouring macrospins.…”
Section: Domain Wall Motionsupporting
confidence: 79%
“…Additionally, the dynamics described by the LLB formalism for AFMs is incomplete. First attempts have been made to calculate the domain wall velocity due to a thermal gradient for a generic AFM using an LLB model [58]. However, the proposed model for AFM-LLB lacks a fundamental aspect of the magnetic properties at finite temperatures, the relaxation of the magnetization length.…”
Section: Introductionmentioning
confidence: 99%
“…By contrast, studies for bulk, intrinsic antiferromagnets still need to be reported. Theoretical analysis suggests that, in the absence of in-plane magnetic anisotropy or a Dzyaloshinskii-Moriya interaction (DMI), no preference is expressed for either Bloch or Néel walls [23][24][25][26][27]. The limited experimental knowledge about antiferromagnetic domain walls is due to a lack of techniques capable of spatially resolving the internal wall structure.…”
Section: Introductionmentioning
confidence: 99%
“…Nowadays, the interest in antiferromagnets increases significantly due to the promising application potentials of the so-called antiferromagnetic (AFM) spintronics [1,2]. Comparing with ferromagnet based storage devices, AFM spintronic devices are more stable against magnetic field perturbations and could be designed with high element densities without producing a stray field, attributing to zero net magnetization and the ultralow susceptibility of AFM elements [3][4][5][6]. Moreover, AFM materials show fast magnetic dynamics [7], including ultrahigh frequency spin wave modes resulting from the complex spin configurations, and are highly favored for future devices [8].…”
Section: Introductionmentioning
confidence: 99%