Potential energy landscape networks of confined vortex matter.

Magic number ground states of repelling vortices under extreme confinement are linked to a drastic reduction in the potential-energy landscape network’s overall complexity, as shown by large-scale simulations.

• Why it matters: Geometry–vortex-number “magic” stability has been observed experimentally, but a detailed theoretical account of ground and metastable states in confined vortex matter has been lacking.
• What they did: The authors map the potential energy landscape onto a network of minima (nodes) and transition states (edges) and run large-scale molecular dynamics for repelling particles/vortices in small containers of varied shapes.
• The result: The ground state almost always lies within the deepest network core, and increasing confinement shifts magic number configurations toward lower-symmetry states while enabling analysis of melting size dependence across configurations.

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