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20242026
most citedNumerical Calculation of the Hopf Index for 3D Magnetic Textures

10 citations · 13 across the 6 of their papers we have counts for

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6 papers

cond-mat.other2026

Topological Classification of Non-Normalizable Vector Fields

Philipp Gessler, Alessandro Pignedoli, Alexander Neuhaus +3

Topological classification of physical vector fields conventionally relies on field normalization and homotopy-based invariants. However, when field amplitudes vanish, normalizatio…

cond-mat.mtrl-sci2026

Quasi-1D Spin Textures: From Chiral Soliton Lattice to Fan State

M. Winter, A. Pignedoli, A. S. Sukhanov +18

In most helimagnets, an applied magnetic field aligns the propagation direction of a helical spin texture with the field, resulting in a conical state and obscuring the unwinding p…

cond-mat.stat-mech2026

Leveraging Interactions for Efficient Swarm-Based Brownian Computing

Alessandro Pignedoli, Atreya Majumdar, Karin Everschor-Sitte

Drawing inspiration from swarm intelligence, we show that short-range attractive interactions between thermally driven Brownian quasiparticles enable energy-efficient optimization.…

cond-mat.mtrl-sci2025

Field-induced condensation of to 2 soliton lattices in chiral magnets

M. Winter, A. Pignedoli, M. C. Rahn +19

Chiral soliton lattices (CSLs) are nontrivial spin textures that emerge from the competition between Dzyaloshinskii-Moriya interaction, anisotropy, and magnetic fields. While well…

cond-mat.mes-hall2024★ 3 cited

3D Magnetic Textures with Mixed Topology: Unlocking the Tunable Hopf Index

Maria Azhar, Sandra C. Shaju, Ross Knapman +2

Knots and links play a crucial role in understanding topology and discreteness in nature. In magnetic systems, twisted, knotted and braided vortex tubes manifest as Skyrmions, Hopf…

cond-mat.mes-hall2024★ 10 cited

Numerical Calculation of the Hopf Index for 3D Magnetic Textures

Ross Knapman, Maria Azhar, Alessandro Pignedoli +4

To gain deeper insight into the complex, stable, and robust configurations of magnetic textures, topological characterisation has proven essential. In particular, while the skyrmio…