Stable Topological Skyrmions on the 2D Lattice

Abstract

In the continuum O(3) sigma model in two spatial dimensions, there are topological solitons whose size can be stabilized by adding Skyrme and potential terms. This paper describes a lattice version, namely a natural way of modifying the 2d Heisenberg model to achieve topological stability on the lattice.

8 pages, plainTeX, figures not included

References in corpus (3)

• Multisolitons in a Two-dimensional Skyrme Model
• Dynamics of Baby Skyrmions
• Kink dynamics in a novel discrete sine-Gordon system

Cited by in corpus (11)

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• Skyrmion-like excitations in dynamical lattices
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• Hopf solitons in the Nicole model
• Topological invariants of vortices, merons, skyrmions, and their combinations in continuous and discrete systems
• Hopf Solitons in the AFZ Model
• Discrete Skyrmions in 2+1 and 3+1 Dimensions
• Topology and metastability in the lattice Skyrme model
• Formation of extended topological defects during symmetry breaking phase transitions in O(2) and O(3) models
• Hopf Solitons on the Lattice
• Nonlinear $O(3)$ sigma model in discrete complex analysis