Stability and phase transition of skyrmion crystals generated by Dzyaloshinskii-Moriya interaction

Hog, Sahbi El; Bailly-reyre, A.; Diep, H. T.

doi:10.1016/j.jmmm.2017.10.031

Cited by 27 publications

(12 citation statements)

References 58 publications

(56 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We see that, as the frustration becomes stronger, the ratio N 2 /N 1 tends towards 1. Let us discuss about some theoretical observations of skyrmions in frustrated magnets [31,[37][38][39][40][41][42][43]46]. Each of these works used a different model, so comparison is impossible.…”

Section: Ground Statementioning

confidence: 99%

“…Usually, we discard 10 6 Monte Carlo steps (MCS) per spin in order to equilibrate the system and average physical quantities over the next 10 6 MCS/spin. Such long Monte Carlo times are needed, since it has been tested for the skyrmion crystal similar to that of the present model [31].…”

Section: Skyrmion Phase Transitionmentioning

confidence: 99%

“…To check this, the most efficient way to proceed is to calculate the relaxation time to obtain properties at the infinite time, in the same spirit as the finite-size scaling used to calculate properties at the infinite system size. We have calculated the relaxation time of the 2D skyrmion crystal [31] using the order parameter defined by Equation (9). We have found that skyrmions need more than 10 6 MCS/spin to relax to equilibrium, and the order parameter follows a stretched exponential law as in SG for T < T c .…”

Section: Skyrmion Phase Transitionmentioning

confidence: 99%

“…Skyrmions have been seen also in helimagnets [2,20]. Under an applied magnetic field, it has been shown that the helical spin configuration is transformed into a skyrmion lattice with a triangular structure [31]. In a strong magnetic field, the spin ordering is ferromagnetic (FM), but there exist isolated stable skyrmions as topological defects [32,33].…”

Section: Introductionmentioning

confidence: 99%

“…Real magnetic materials have complicated interactions; there are large families of frustrated systems, such as the heavy lanthanides metals (holmium, terbium, and dysprosium) [34,35] and helical MnSi [36]. Other interesting properties of skyrmions in magnetically frustrated systems have also been investigated [31,[37][38][39][40][41][42][43][44][45][46]. Multiferroics and superlattices of multiferroics (for example, PZT/LSMO and BTO/LSMO) currently attract many research activities on these materials because of the coexistence of ferroelectric and magnetic orderings.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Skyrmion Crystals and Phase Transitions in Magneto-Ferroelectric Superlattices: Dzyaloshinskii–Moriya Interaction in a Frustrated J1 − J2 Model

Sharafullin

Diep

2019

Symmetry

View full text Add to dashboard Cite

The formation of a skyrmion crystal and its phase transition are studied, taking into account the Dzyaloshinskii-Moriya (DM) interaction at the interface between a ferroelectric layer and a magnetic layer in a superlattice. Frustration is introduced in both magnetic and ferroelectric films. The films have a simple cubic lattice structure. The spins inside the magnetic layers are Heisenberg spins interacting with each other via nearest-neighbor (NN) exchange J m and next-nearest-neighbor (NNN) exchange J 2m . The polarizations in the ferroelectric layers are assumed to be of Ising type with NN and NNN interactions J f and J 2 f . At the magnetoelectric interface, a DM interaction J m f between spins and polarizations is supposed. The spin configuration in the ground state is calculated by the steepest descent method. In an applied magnetic field H perpendicular to the layers, we show that the formation of skyrmions at the magnetoelectric interface is strongly enhanced by the frustration brought about by the NNN antiferromagnetic interactions J 2m and J 2 f . Various physical quantities at finite temperatures are obtained by Monte Carlo simulations. We show the critical temperature, the order parameters of magnetic and ferroelectric layers as functions of the interface DM coupling, the applied magnetic field, and J 2m and J 2 f . The phase transition to the disordered phase is studied in detail.

show abstract