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Real-space anisotropic dielectric response in a multiferroic skyrmion lattice.

Chu P, Xie YL, Zhang Y, Chen JP, Chen DP, Yan ZB, Liu JM - Sci Rep (2015)

Bottom Line: In this work, we propose that the spatial contour of dielectric permittivity in a skyrmion lattice with ferromagnetic interaction and in-plane (xy) Dzyaloshinskii-Moriya (DM) interaction can be used to characterize the skyrmion lattice.The phase field and Monte Carlo simulations are employed to develop the one-to-one correspondence between the magnetic skyrmion lattice and dielectric dipole lattice, both exhibiting the hexagonal symmetry.The dependences of the spatial contour of dielectric permittivity on external magnetic field along the z-axis and dielectric frequency dispersion are discussed.

View Article: PubMed Central - PubMed

Affiliation: Laboratory of Solid State Microstructures and Innovation Center of Advanced Microstructures, Nanjing University, Nanjing 210093, China.

ABSTRACT
A magnetic skyrmion lattice is a microstructure consisting of hexagonally aligned skyrmions. While a skyrmion as a topologically protected carrier of information promises a number of applications, an easily accessible probe of the skyrmion and skyrmion lattice at mesoscopic scale is of significance. It is known that neutron scattering, Lorentz transmission electron microscopy, and spin-resolved STM as effective probes of skyrmions have been established. In this work, we propose that the spatial contour of dielectric permittivity in a skyrmion lattice with ferromagnetic interaction and in-plane (xy) Dzyaloshinskii-Moriya (DM) interaction can be used to characterize the skyrmion lattice. The phase field and Monte Carlo simulations are employed to develop the one-to-one correspondence between the magnetic skyrmion lattice and dielectric dipole lattice, both exhibiting the hexagonal symmetry. Under excitation of in-plane electric field in the microwave range, the dielectric permittivity shows the dumbbell-like pattern with the axis perpendicular to the electric field, while it is circle-like for the electric field along the z-axis. The dependences of the spatial contour of dielectric permittivity on external magnetic field along the z-axis and dielectric frequency dispersion are discussed.

No MeSH data available.


Related in: MedlinePlus

Snapshoted patterns of dielectric permittivity real part Re(ε) at constant frequency f = 0.2τ−1 with Eext along the direction of (a) [1, 1], (b) x-axis, (c) y-axis, and (d) z-axis. Hereafter, E0 =  0.5/A1/P0 and magnetic field Hz is along out-of-plane direction.
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f5: Snapshoted patterns of dielectric permittivity real part Re(ε) at constant frequency f = 0.2τ−1 with Eext along the direction of (a) [1, 1], (b) x-axis, (c) y-axis, and (d) z-axis. Hereafter, E0 = 0.5/A1/P0 and magnetic field Hz is along out-of-plane direction.

Mentions: It is found that the dielectric response pattern can be different if the Eext is applied along different orientations. For the in-plane Eext, the dielectric pattern is always dumbbell-like and the axis is perpendicular to the Eext, as shown by three examples shown in Fig. 5(a)~(c). On the other hand, for the Eext along the z-axis, the dielectric pattern is roughly the same as the skyrmion contour and the six-fold symmetry is reserved, as shown in Fig. 5(d).


Real-space anisotropic dielectric response in a multiferroic skyrmion lattice.

Chu P, Xie YL, Zhang Y, Chen JP, Chen DP, Yan ZB, Liu JM - Sci Rep (2015)

Snapshoted patterns of dielectric permittivity real part Re(ε) at constant frequency f = 0.2τ−1 with Eext along the direction of (a) [1, 1], (b) x-axis, (c) y-axis, and (d) z-axis. Hereafter, E0 =  0.5/A1/P0 and magnetic field Hz is along out-of-plane direction.
© Copyright Policy - open-access
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4321174&req=5

f5: Snapshoted patterns of dielectric permittivity real part Re(ε) at constant frequency f = 0.2τ−1 with Eext along the direction of (a) [1, 1], (b) x-axis, (c) y-axis, and (d) z-axis. Hereafter, E0 = 0.5/A1/P0 and magnetic field Hz is along out-of-plane direction.
Mentions: It is found that the dielectric response pattern can be different if the Eext is applied along different orientations. For the in-plane Eext, the dielectric pattern is always dumbbell-like and the axis is perpendicular to the Eext, as shown by three examples shown in Fig. 5(a)~(c). On the other hand, for the Eext along the z-axis, the dielectric pattern is roughly the same as the skyrmion contour and the six-fold symmetry is reserved, as shown in Fig. 5(d).

Bottom Line: In this work, we propose that the spatial contour of dielectric permittivity in a skyrmion lattice with ferromagnetic interaction and in-plane (xy) Dzyaloshinskii-Moriya (DM) interaction can be used to characterize the skyrmion lattice.The phase field and Monte Carlo simulations are employed to develop the one-to-one correspondence between the magnetic skyrmion lattice and dielectric dipole lattice, both exhibiting the hexagonal symmetry.The dependences of the spatial contour of dielectric permittivity on external magnetic field along the z-axis and dielectric frequency dispersion are discussed.

View Article: PubMed Central - PubMed

Affiliation: Laboratory of Solid State Microstructures and Innovation Center of Advanced Microstructures, Nanjing University, Nanjing 210093, China.

ABSTRACT
A magnetic skyrmion lattice is a microstructure consisting of hexagonally aligned skyrmions. While a skyrmion as a topologically protected carrier of information promises a number of applications, an easily accessible probe of the skyrmion and skyrmion lattice at mesoscopic scale is of significance. It is known that neutron scattering, Lorentz transmission electron microscopy, and spin-resolved STM as effective probes of skyrmions have been established. In this work, we propose that the spatial contour of dielectric permittivity in a skyrmion lattice with ferromagnetic interaction and in-plane (xy) Dzyaloshinskii-Moriya (DM) interaction can be used to characterize the skyrmion lattice. The phase field and Monte Carlo simulations are employed to develop the one-to-one correspondence between the magnetic skyrmion lattice and dielectric dipole lattice, both exhibiting the hexagonal symmetry. Under excitation of in-plane electric field in the microwave range, the dielectric permittivity shows the dumbbell-like pattern with the axis perpendicular to the electric field, while it is circle-like for the electric field along the z-axis. The dependences of the spatial contour of dielectric permittivity on external magnetic field along the z-axis and dielectric frequency dispersion are discussed.

No MeSH data available.


Related in: MedlinePlus