Topologically protected colloidal transport above a square magnetic lattice

Abstract

We theoretically study the motion of magnetic colloidal particles above a magnetic pattern and compare the predictions with Brownian dynamics simulations. The pattern consists of alternating square domains of positive and negative magnetization. The colloidal motion is driven by periodic modulation loops of an external magnetic field. There exist loops that induce topologically protected colloidal transport between two different unit cells of the pattern. The transport is very robust against internal and external perturbations. Theory and simulations are in perfect agreement.

References in corpus (3)

• Nearly-flat bands with nontrivial topology
• Topological modes bound to dislocations in mechanical metamaterials
• Nonlinear conduction via solitons in a topological mechanical insulator

Cited by in corpus (8)

• Ice Rule and Emergent Frustration in Particle Ice and Beyond
• Lattice symmetries and the topological protected transport of colloidal particles
• Simultaneous polydirectional transport of colloidal bipeds
• Simultaneous and independent topological control of identical microparticles in non-periodic energy landscapes
• Topologically controlled synthesis of active colloidal bipeds
• Enhanced colloidal transport in twisted magnetic patterns
• Disorder scattering in classical flat channel transport of particles between twisted magnetic square patterns
• Topological sorting of magnetic colloidal bipeds