Mechanism and activation energy of magnetic skyrmion annihilation obtained from minimum energy path calculations

Lobanov, I. S.; Jónsson, Hannes; Uzdin, V. M.

doi:10.1103/physrevb.94.174418

Cited by 101 publications

(126 citation statements)

References 26 publications

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“…This energy barrier strongly depends on the magnetic field and system parameters [52,53]. In order to examine the relative stability of the skyrmionic structures, we performed finite-temperature spin dynamics simulations-for the method see, e.g., Ref.…”

Section: A Shape and Energy Of Localized Spin Configurationsmentioning

confidence: 99%

Formation and stability of metastable skyrmionic spin structures with various topologies in an ultrathin film

et al. 2017

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We observe metastable localized spin configurations with topological charges ranging from Q = −3 to Q = 2 in a (Pt 0.95 Ir 0.05 )/Fe bilayer on a Pd(111) surface by performing spin dynamics simulations, using a classical Hamiltonian parametrized by ab initio calculations. We demonstrate that the frustration of the isotropic exchange interactions is responsible for the creation of these various types of skyrmionic structures. The DzyaloshinskyMoriya interaction present due to the breaking of inversion symmetry at the surface energetically favors skyrmions with Q = −1, distorts the shape of the other objects, and defines a preferred orientation for them with respect to the underlying lattice.

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Section: A Shape and Energy Of Localized Spin Configurationsmentioning

confidence: 99%

Formation and stability of metastable skyrmionic spin structures with various topologies in an ultrathin film

et al. 2017

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“…The question then arises as to how general this relation between skyrmion size and skyrmion stability is and whether it is possible to design an optimal medium where magnetic skyrmions are small enough while being sufficiently stable at ambient conditions. Equilibrium properties of skyrmions such as size and shape have intensively been studied since the very discovery of magnetic skyrmions more than twenty years ago [2][3][4][22][23][24][25][26], but quantitative characterization of skyrmion stability has started being addressed rather recently [27][28][29][30][31][32][33][34][35][36][37][38]. Thermal stability can be quantified by calculating skyrmion lifetime using harmonic transition state theory for spins [39].…”

Section: Introductionmentioning

confidence: 99%

“…Theoretical calculations applied to atomistic spin Hamiltonian have previously revealed two mechanisms of skyrmion decay into a polarized, ferromagnetic configuration: Radial collapse of a skyrmion [27,31] and escape of the skyrmion through the system boundary [32][33][34]. Relative contributions of these mechanisms to the skyrmion stability have been studied as a function of relevant material parameters [32], applied magnetic field [35,38] and presence of impurities [33,36].…”

Section: Introductionmentioning

confidence: 99%

Interplay between size and stability of magnetic skyrmions

Varentsova¹,

Potkina²,

Malottki³

et al. 2018

Nanosystems: Phys. Chem. Math.

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The relationship between the size and stability of isolated skyrmions in a magnetic monolayer is analyzed based on minimum energy path calculations and atomistic spin Hamiltonian. It is demonstrated that the energy barrier protecting the skyrmion from collapse to the ferromagnetic state is not uniquely defined by the skyrmion size, although these two properties as functions of relevant material parameters follow similar trends. Stability of nanoscale skyrmions can be enhanced by a concerted adjustment of material parameters. The proposed parameter transformation conserves the skyrmion size, but does not conserve the skyrmion shape which changes from an arrow-like pattern to a profile that resembles magnetic bubbles. This transformation of the skyrmion shape is accompanied by an increase in the collapse energy barrier and thus enhancement of skyrmion stability.

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“…Calculations of transition rates in magnetic systems using this approach have been carried out in studies of, for example, remagnetization in small islands adsorbed on a solid surface [23], analysis of temperature dependence of hysteresis loops [24], annihilation of magnetic skyrmions [25,26] and interaction of a magnetic tip with a solid surface [27]. Quantum mechanical effects can influence the transition rate even at temperature above the onset temperature for tunneling.…”

Section: Over-the-barrier Transitionsmentioning

confidence: 99%

Calculations of the onset temperature for tunneling in multispin systems

Vlasov¹,

Bessarab²,

Uzdin³

et al. 2017

Nanosystems: Phys. Chem. Math.

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Transitions between magnetic states of a system coupled to a heat bath can occur by exceeding the energy barrier, but as temperature is lowered quantum mechanical tunneling through the barrier becomes the dominant transition mechanism. A method is presented for estimating the onset temperature for tunneling in a system with an arbitrary number of spins using the second derivatives of the energy with respect to the orientation of the magnetic vectors at the first order saddle point on the energy surface characterizing the over-the-barrier mechanism. An application to a monomer and a dimer of molecular magnets containing a Mn 4 group is presented and the result found to be in excellent agreement with reported experimental measurements.

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Mechanism and activation energy of magnetic skyrmion annihilation obtained from minimum energy path calculations

Cited by 101 publications

References 26 publications

Formation and stability of metastable skyrmionic spin structures with various topologies in an ultrathin film

Formation and stability of metastable skyrmionic spin structures with various topologies in an ultrathin film

Interplay between size and stability of magnetic skyrmions

Calculations of the onset temperature for tunneling in multispin systems

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