A method for designing induced magnetic skyrmions based on geometric structure

Abstract

This invention discloses a method for designing induced magnetic skyrmions based on geometric structures, specifically including: constructing geometric structures such as ripples, folds, and depressions in two-dimensional magnetic materials to break the central inversion symmetry and induce Dzyaloshinskii-Moriya (DM) interactions, providing conditions for designing topological magnetic structures such as magnetic skyrmions; presenting detailed magnetic parameters of the studied system through first-principles calculations, including Heisenberg exchange coupling, DM interactions, and magnetic anisotropy; and solving for the magnetic ground state under various magnetic interaction competitions based on micromagnetic simulations, including topological magnetic structures such as magnetic skyrmions.

Description

Technical Field

[0001] This invention belongs to the field of spintronic device technology, and particularly relates to a method for designing induced magnetic skyrmions based on geometric structure. Background Technology

[0002] Currently, the information storage and logic operation architectures in spintronic devices rely on low-dimensional systems with well-defined symmetries. Research has mainly focused on single crystals, epitaxial thin films, and multilayer stacked structures, which possess near-perfect long-range order and symmetry. However, even in ideal materials and interfaces, structural and chemical inhomogeneities and disorder still exist.

[0003] A novel approach to describing these defects is to define them as curvature functions in real space, reciprocal space, or spin space. Since the microscopic features of entanglement and topological states are largely influenced by local atomic and nanoscale characteristics, local curvature can be used to design systems with spontaneous or non-uniform inversion symmetry breaking, thereby stabilizing three-dimensional magnetization vector fields or modulating topological and magnetic transport properties in electronic systems. Furthermore, experimentally synthesized two-dimensional materials, whether freely suspended or grown on a substrate, inevitably exhibit curvature, as reported in materials such as graphene and MoS2. In real space, the effects of local curvature variations manifest primarily as structural, chemical, electronic, and magnetic inhomogeneities and disorder, with magnitudes proportional to the ratio of spatial variation. Sufficiently large ratios can influence magnetic properties, such as stabilizing topological magnetic structures at corresponding length scales.

[0004] Furthermore, there is a need to design an artificially designed curved nanostructure that can adjust the magnetic exchange interaction without compromising its inherent properties. Moreover, there is a need for a new technical method that, unlike traditional voltage, stress, or strain control methods, can control the magnetic exchange interaction and topological magnetic structure of two-dimensional magnetic materials through curvature. Currently, there is an urgent need for a technology that can conveniently twist, deform, or even change the required three-dimensional curved magnetization vector field to achieve the magnetic chirality effect and design more complex magnetic configurations. Summary of the Invention

[0005] The purpose of this invention is to address the difficulty in generating and controlling magnetic skyrmions in two-dimensional magnetic materials by providing a method for inducing magnetic skyrmions based on geometric structure design. This method involves designing periodic corrugated, folded, and concave structures in monolayer two-dimensional magnetic materials to break their inversion symmetry and induce DM interactions. Furthermore, theoretical calculations show that the dependence of DM interactions on curvature can be well explained by the three-point Fert-Lévy model. By controlling the magnitude of magnetic parameters such as Heisenberg exchange coupling, DM interactions, and magnetic anisotropy using curvature, magnetic skyrmions can be stabilized in monolayer two-dimensional magnetic materials.

[0006] This invention is achieved through the following technical solution: a method for designing induced magnetic skyrmions based on geometric structure, comprising the following steps:

[0007] (1) Based on the planar structure of two-dimensional magnetic materials, the modeling of curved surface geometric configurations at the atomic scale is realized according to the mathematical form of different geometric configurations; and for each curved surface geometric configuration, magnetic curved surface geometric systems with different curvatures are obtained by adjusting the curvature.

[0008] (2) Magnetic parameters in a magnetic surface geometry system with different curvatures are extracted by first-principles calculation, including Heisenberg exchange coupling, DM interaction and magnetic anisotropy.

[0009] (3) The variation law of magnetic parameters under different curvatures is analyzed to obtain the control mode of curvature on the magnetic parameters of the magnetic surface geometric system;

[0010] (4) Based on the calculated magnetic parameters and surface geometry, the positions and nearest-neighbor interactions of magnetic atoms are modeled, and the ground state of the magnetic skyrmion is solved based on micromagnetic simulation.

[0011] Furthermore, the two-dimensional magnetic material in step (1) can be selected from Fe3GaTe2, Fe3GeTe2, Fe5GeTe2, Cr2Te3, Cr3Te4, but is not limited to any one or more combinations thereof.

[0012] Furthermore, the surface geometry in step (1) includes periodic corrugated structures, folded structures, and recessed structures.

[0013] Furthermore, the curvature of the surface geometry in step (1) is...

[0014] Furthermore, in step (2), the ratio of DM interaction and Heisenberg exchange coupling calculated by the magnetic surface geometry system with different curvatures is 0.05 to 0.25, preferably 0.1 to 0.2.

[0015] Furthermore, in step (2), the magnetic anisotropy calculated by the magnetic surface geometry system with different curvatures is the normal along the surface of the magnetic material.

[0016] Furthermore, in (3), the ratio of DM interaction and Heisenberg exchange coupling of the magnetic surface geometry system increases with increasing curvature.

[0017] Furthermore, the ground state of the magnetic skyrmion obtained in (4) includes any one or more combinations of Néel-type magnetic skyrmions, Bloch-type magnetic skyrmions, and antimagnetic skyrmions.

[0018] An electronic device, comprising:

[0019] One or more processors;

[0020] Memory, used to store one or more programs;

[0021] When the one or more programs are executed by the one or more processors, the one or more processors implement the method for designing induced magnetic skyrmions based on geometric structures.

[0022] A computer-readable storage medium having computer instructions stored thereon, which, when executed by a processor, implement the steps of the method for designing induced magnetic skyrmions based on geometric structures.

[0023] The beneficial effects of this invention are as follows:

[0024] This invention discloses the design of periodic corrugated, folded, and concave structures in monolayer two-dimensional magnetic materials, breaking their inversion symmetry and inducing DM interactions. Furthermore, theoretical calculations reveal that the dependence of DM interactions on curvature can be well explained by the three-point Fert-Lévy model. By utilizing curvature to control the magnitudes of magnetic parameters such as Heisenberg exchange coupling, DM interactions, and magnetic anisotropy, this invention achieves a technological innovation in stabilizing magnetic skyrmions in monolayer two-dimensional magnetic materials. Attached Figure Description

[0025] The accompanying drawings, which are incorporated in and form part of this specification, illustrate embodiments consistent with this application and, together with the description, serve to explain the principles of this application.

[0026] Figure 1 The diagram shows the surface geometry model of the present invention; wherein (a) is a periodic ripple diagram of the surface, (b) is a folded diagram of the surface, and (c) is a geometric configuration diagram of the concave structure of the surface.

[0027] Figure 2 The diagram shows the magnetic parameters extracted from the surface geometric model calculated by this invention; where (a) is a diagram showing the variation of the DM interaction energy EDM(q) with the spin helical wave vector q in a single layer of Fe3GeTe2 with a surface geometric structure, and (b) is a diagram showing the variation of the DM interaction parameter d with the curvature κ in a single layer of Fe3GeTe2 with a surface geometric structure.

[0028] Figure 3 The following is a ground state diagram of a magnetic skyrmion obtained by micromagnetic simulation in this invention; wherein, (a) is a magnetic structure diagram of a single layer of Fe3GeTe2 with curved surface geometry, and (b) is an enlarged magnetic configuration diagram of an isolated Néel-type magnetic skyrmion. Detailed Implementation

[0029] Exemplary embodiments will now be described in detail, examples of which are illustrated in the accompanying drawings. When the following description relates to the drawings, unless otherwise indicated, the same numbers in different drawings represent the same or similar elements. The embodiments described in the following exemplary embodiments do not represent all embodiments consistent with this application.

[0030] The terminology used in this application is for the purpose of describing particular embodiments only and is not intended to be limiting of the application. The singular forms “a,” “the,” and “the” used in this application and the appended claims are also intended to include the plural forms unless the context clearly indicates otherwise. It should also be understood that the term “and / or” as used herein refers to and includes any or all possible combinations of one or more of the associated listed items.

[0031] To more clearly illustrate the technical solutions and advantages of the present invention, embodiments and accompanying drawings are provided for further detailed explanation. Note that the specific embodiments described herein are for illustrative purposes only and are not intended to limit the scope of the invention.

[0032] This invention provides a method for inducing magnetic skyrmions in two-dimensional magnetic materials based on geometric structure design, the method comprising the following steps:

[0033] (1) Using the single-layer two-dimensional magnetic material Fe3GaTe2 as an example, a planar structure was used as the basis for atomic-scale modeling based on the mathematical form of the curved surface geometry. For each geometry, material models with different degrees of curvature were obtained by adjusting the curvature. Figure 1 These are geometric configuration diagrams of curved surface periodic ripples, curved surface folds, and curved surface concavities; where (a) is a diagram of curved surface periodic ripples, (b) is a diagram of curved surface folds, and (c) is a geometric configuration diagram of curved surface concavities. From Figure 1 It can be seen that each surface geometry configuration includes a rigid region and a surface geometry region. The rigid region configuration is a planar structure of Fe3GaTe2, and the surface geometry region satisfies the mathematical form distribution of the surface geometry configuration, and the curvature magnitude represents different degrees of bending.

[0034] (2) Magnetic parameters such as Heisenberg exchange coupling, DM interaction and magnetic anisotropy of Fe3GeTe2 with different curvatures were extracted by first-principles calculation. Figure 2 These are magnetic parameter plots calculated and extracted from bent Fe3GeTe2 with different curvatures. (a) shows the variation of the DM interaction energy EDM(q) with the spin helical wave vector q in a monolayer Fe3GeTe2 with curved surface geometry, and (b) shows the variation of the DM interaction parameter d with the curvature κ in a monolayer Fe3GeTe2 with curved surface geometry. Figure 2It can be seen that the DM interaction parameter of bent Fe3GeTe2 increases with increasing curvature. The curvature is... The ratio of DM interaction to Heisenberg exchange coupling in bent Fe3GeTe2 is 0.12.

[0035] (3) Based on the curvature The magnetic atomic positions of bent Fe3GeTe2 and the calculated nearest-neighbor magnetic interaction parameters were modeled, and the ground state of the magnetic skyrmion was solved based on micromagnetic simulation. Figure 3 The curvature obtained from the simulation is The magnetic structure of bent Fe3GeTe2 under zero field. From Figure 3 As can be seen, (a) is a magnetic structure diagram of a single layer of Fe3GeTe2 with curved surface geometry, and (b) is an enlarged view of the magnetic configuration of an isolated Néel-type magnetic skyrmion; the magnetic ground state of bent Fe3GeTe2 is a magnetic skyrmion lattice state. According to the enlarged view of the magnetic moment direction arrangement, it can be seen that the magnetic skyrmion formed in bent Fe3GeTe2 by the method of the present invention is a Néel-type magnetic skyrmion, which has room temperature non-volatility and zero field stability.

[0036] In some embodiments of the present invention, the two-dimensional magnetic material may be selected from, but is not limited to, Fe3GaTe2, Fe3GeTe2, Fe5GeTe2, Cr2Te3, Cr3Te4, or one or more of these.

[0037] An electronic device, comprising:

[0038] One or more processors;

[0039] Memory, used to store one or more programs;

[0040] When the one or more programs are executed by the one or more processors, the one or more processors implement the method for designing induced magnetic skyrmions based on geometric structures.

[0041] A computer-readable storage medium having computer instructions stored thereon, which, when executed by a processor, implement the steps of the method for designing induced magnetic skyrmions based on geometric structures.

[0042] Other embodiments of this application will readily occur to those skilled in the art upon consideration of the specification and practice of the disclosure herein. This application is intended to cover any variations, uses, or adaptations of this application that follow the general principles of this application and include common knowledge or customary techniques in the art not disclosed herein.

[0043] It should be understood that this application is not limited to the precise structure described above and shown in the accompanying drawings, and various modifications and changes can be made without departing from its scope.

Claims

1. A method for designing induced magnetic skyrmions based on geometric structure, characterized in that, Includes the following steps: (1) Based on the planar structure of two-dimensional magnetic materials, the modeling of curved surface geometric configurations at the atomic scale is realized according to the mathematical form of different geometric configurations; and for each curved surface geometric configuration, magnetic curved surface geometric systems with different curvatures are obtained by adjusting the curvature. (2) Magnetic parameters in a magnetic surface geometric system with different curvatures are extracted by first-principles calculation, including Heisenberg exchange coupling, DM interaction and magnetic anisotropy; (3) The variation law of magnetic parameters under different curvatures is analyzed to obtain the control mode of curvature on the magnetic parameters of the magnetic surface geometric system; (4) Based on the calculated magnetic parameters and surface geometry, the positions and nearest-neighbor interactions of magnetic atoms are modeled, and the ground state of the magnetic skyrmion is solved based on micromagnetic simulation.

2. The method for inducing magnetic skyrmions based on geometric structure design according to claim 1, characterized in that, The two-dimensional magnetic material in step (1) is selected from Fe3GaTe2, Fe3GeTe2, Fe5GeTe2, Cr2Te3, Cr3Te4, but is not limited to any one or more combinations thereof.

3. The method for inducing magnetic skyrmions based on geometric structure design according to claim 1, characterized in that, The surface geometry in step (1) includes periodic corrugated structures, folded structures, and recessed structures.

4. The method for inducing magnetic skyrmions based on geometric structure design according to claim 1, characterized in that, The curvature of the surface geometry in step (1) is 0 to 0.15 1 / Å.

5. The method for inducing magnetic skyrmions based on geometric structure design according to claim 1, characterized in that, In step (2), the ratio of DM interaction and Heisenberg exchange coupling calculated by the magnetic surface geometry system with different curvatures is 0.05 to 0.

25.

6. The method for inducing magnetic skyrmions based on geometric structure design according to claim 1, characterized in that, In step (2), the magnetic anisotropy calculated by the geometric system of magnetic surfaces with different curvatures is the normal along the surface of the magnetic material.

7. A method for designing induced magnetic skyrmions based on geometric structure according to claim 1, characterized in that, In step (3), the ratio of DM interaction and Heisenberg exchange coupling of the magnetic surface geometry system increases with increasing curvature.

8. A method for designing induced magnetic skyrmions based on geometric structure according to claim 1, characterized in that, The ground state of the magnetic skyrmion obtained in step (4) includes any one or more combinations of Néel-type magnetic skyrmions, Bloch-type magnetic skyrmions, and antimagnetic skyrmions.

9. An electronic device, characterized in that, include: One or more processors; Memory, used to store one or more programs; When the one or more programs are executed by the one or more processors, the one or more processors implement the method for induced magnetic skyrmions based on geometric design as described in any one of claims 1-8.

10. A computer-readable storage medium storing computer instructions thereon, characterized in that, When executed by the processor, this instruction implements the steps of the method for designing induced magnetic skyrmions based on geometry as described in any one of claims 1-8.

Images