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Winding number selection on merons by Gaussian curvature's sign
Ricardo Gabriel Elías1,2, Nicolás Vidal-Silva3,4, Vagson L Carvalho-Santos5
1Departamento de Física, Universidad de Santiago de Chile, Avda. Ecuador, 3493, Santiago, Chile. gabriel.elias@usach.cl.
Scientific Reports
|October 6, 2019
Summary
We found that the geometry of magnetic surfaces directly influences magnetic merons. Positive (negative) surface curvature favors merons with positive (negative) winding numbers, linking geometry to topology.
Area of Science:
- Condensed matter physics
- Materials science
- Geometric mechanics
Background:
- Magnetic merons are topological solitons in magnetic systems.
- The winding number characterizes the topology of magnetic merons.
- Gaussian curvature quantifies the local geometry of surfaces.
Purpose of the Study:
- To investigate the relationship between magnetic meron winding number and surface Gaussian curvature.
- To explore how surface geometry influences the topological properties of magnetic solitons.
- To connect geometric effects with emergent phenomena in curved magnetic systems.
Main Methods:
- Theoretical analysis of magnetic meron configurations on curved surfaces.
- Mathematical formulation relating winding number to Gaussian curvature.
- Comparison with existing theories on domain walls and emergent terms.
Main Results:
- Positive Gaussian curvature favors merons with positive winding numbers; negative curvature favors negative winding numbers.
- Chirality of merons is linked to the polarity of their core.
- Geometric properties of surfaces can predict the topological characteristics of metastable magnetic states.
Conclusions:
- A direct correlation exists between the geometric properties of magnetic surfaces and the topology of hosted magnetic solitons (merons).
- These findings offer insights into the Dzyaloshinskii-Moriya emergent term on curved surfaces.
- This work establishes a novel link between surface geometry and soliton topology in magnetic materials.
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