Dynamic depinning phase transition in magnetic thin film with anisotropy

Xiong, Lun; Zheng, Bo; Jin, Menghao; Wang, Lingshi; Zhou, N. J.

doi:10.1088/1367-2630/aaaa27

Cited by 10 publications

(13 citation statements)

References 30 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…2b), θ depends on σ: For small but finite σ, θ approaches the qEW value of 0.25, while in the limit of large σ it tends to a value close to 1. We note that recent simulations for a specific disorder strength based on the LLG equation of a Heisenberg-like model found θ > θ qEW [29].…”

mentioning

confidence: 56%

Depinning exponents of thin film domain walls depend on disorder strength

Skaugen,

Laurson

2021

Preprint

View full text Add to dashboard Cite

Domain wall dynamics in ferromagnets is complicated by internal degrees of freedom of the domain walls. We develop a model of domain walls in disordered thin films with perpendicular magnetic anisotropy capturing such features, and use it to study the depinning transition. For weak disorder, excitations of the internal magnetization are rare, and the depinning transition takes on exponent values of the quenched Edwards-Wilkinson equation. Stronger disorder results in disorder-dependent exponents concurrently with nucleation of an increasing density of Bloch lines within the domain wall.

show abstract

mentioning

confidence: 56%

Depinning exponents of thin film domain walls depend on disorder strength

Skaugen,

Laurson

2021

Preprint

View full text Add to dashboard Cite

show abstract

“…Due to critical slowing down, it is very difficult to simulate the stationary state around the depinning phase transition. The nonstationary dynamic approach looks novel and efficient in tackling the dynamic phase transitions, since the measurements are carried out in the short-time regime of the dynamic evolution [35,[44][45][46][47]. In addition, it may avoid the errors induced by the finite time step Δt in the molecular dynamics simulations of the stationary state.…”

Section: Introductionmentioning

confidence: 99%

Anisotropic critical behavior of current-driven skyrmion dynamics in chiral magnets with disorder

et al. 2020

Self Cite

View full text Add to dashboard Cite

The dynamic pinning effects are significant in manipulating skymions in chiral magnetic materials with quenched disorder. Through numerical simulations of the non-stationary current-driven dynamics of skyrmions with the Landau-Lifshitz-Gilbert equation, the critical current, static and dynamic critical exponents of the depenning phase transition are accurately determined for both adiabatic and non-adiabatic spin-transfer torques and with different strengths of disorder, based on the dynamic scaling behavior far from stationary. We find that the threshold current is insensitive to a small non-adiabatic coefficient of the spin-transfer torque, but dramatically reduced for a large one. The critical exponents indicate that the critical dynamic behavior is robust for different spin-transfer torques in the perpendicular component of the Hall motion, while exhibits a weak universality class in the direction of the driving current. The anisotropic behavior around the depinning phase transition provides a quantitative analysis of the drive-dependent skyrmion Hall effect in experiments. Further, the theoretical analysis using the Thiele's approach is presented, and the critical current and the static exponents support the simulation results.

show abstract

“…In the past years, much effort of physicists has been devoted to the understanding of the domain-wall dynamics of ferroic materials (ferroelectrics, ferromagnets, ferroelastics) in both experiments and theories [1][2][3][4][5][6][7][8], due to the possible applications in high-density magnetic memories, spin logic devices, and shift registers by means of switching and detecting the polarization orientations of the domains [9][10][11][12]. The dynamic properties of domain walls in the macroscopic, mesoscopic, and microscopic scales have been investigated with different numerical methods, such as the Edwards-Wilkinson equation with quenched disorder [4,13,14], Monte Carlo method in the Isingtype lattice models [15][16][17][18], and Landau-Lifshitz-Gilbert equation in the Heisenberg-like models [19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

“…Driven by a constant external field in the presence of the quenched disorder, a pinning-depinning dynamic transition occurs at zero temperature, separating the regimes of static pinning and friction-limited viscous sliding [22][23][24]. At low temperatures, the sharp depinning transition is softened, and a thermally activated creep motion appears [25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

“…Practically, predicting and controlling the movements of the domain walls play a crucial role in designing new classes of magnetic devices. Moreover, the dynamic approaches can be developed to study the pinning-depinning and other dynamic phase transitions of domain walls at zero or low temperatures, understand the non-stationary properties of the dynamic systems, and determine the static and dynamic exponents as well as the transition points [18,22,24,25]. However, most of efforts were focused on the 180 • domain wall in earlier studies of domain dynamics, and the dynamics of non-180 • one was rarely referred.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Spin-reorientation critical dynamics in the two-dimensional XY model with a domain wall

Zhou

et al. 2019

Phys. Rev. E

View full text Add to dashboard Cite

In recent years, static and dynamic properties of non-180 • domain walls in magnetic materials have attracted a great deal of interest. In this paper, spin-reorientation critical dynamics in the two-dimensional XY model is investigated with Monte Carlo simulations and theoretical analyses based on the Langevin equation. At the Kosterlitz-Thouless phase transition, dynamic scaling behaviors of the magnetization and the two-time correlation function are carefully analyzed, and critical exponents are accurately determined. When the initial value of the angle between adjacent domains is slightly lower than π, a critical exponent is introduced to characterize the abnormal power-law increase of the magnetization in the horizontal direction inside the domain interface, which is measured to be ψ = 0.0568(8). Besides, the relation ψ = η/2z is analytically deduced from the Langevin dynamics in the long-wavelength approximation, well consistent with numerical results.

show abstract

Dynamic depinning phase transition in magnetic thin film with anisotropy

Cited by 10 publications

References 30 publications

Depinning exponents of thin film domain walls depend on disorder strength

Depinning exponents of thin film domain walls depend on disorder strength

Anisotropic critical behavior of current-driven skyrmion dynamics in chiral magnets with disorder

Spin-reorientation critical dynamics in the two-dimensional XY model with a domain wall

Contact Info

Product

Resources

About