Edge transport at the boundary between topologically equivalent lattices

Massana-Cid, Helena; Ernst, Adrian; Heras, Daniel de las; Jarosz, A.; Urbaniak, M.; Stobiecki, F.; Tomita, Andreea; Huhnstock, Rico; Koch, Iris; Ehresmann, A.; Holzinger, Dennis; Fischer, Thomas M.

doi:10.1039/c8sm02005a

Cited by 11 publications

(8 citation statements)

References 26 publications

(42 reference statements)

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“…A recent study showed directed motion for particles interacting with a periodic lattice substrate in what are called colloidal topological insulators [41,43]. Here, a colloid driven in a circular or closed orbit can exhibit directed transport when interacting with the interface between two different types of substrate lattices.…”

Section: Discussionmentioning

confidence: 99%

Guided Skyrmion Motion Along Pinning Array Interfaces

Vizarim,

Reichhardt,

Venegas

et al. 2020

Preprint

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We examine ac driven skyrmions interacting with the interface between two different obstacle array structures. We consider drive amplitudes at which skyrmions in a bulk obstacle lattice undergo only localized motion and show that when an obstacle lattice interface is introduced, directed skyrmion transport can occur along the interface. The skyrmions can be guided by a straight interface and can also turn corners to follow the interface. For a square obstacle lattice embedded in a square pinning array with a larger lattice constant, we find that skyrmions can undergo transport in all four primary symmetry directions under the same fixed ac drive. We map where localized or translating motion occurs as a function of the ac driving parameters. Our results suggest a new method for controlling skyrmion motion based on transport along obstacle lattice interfaces.

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Section: Discussionmentioning

confidence: 99%

Guided Skyrmion Motion Along Pinning Array Interfaces

Vizarim,

Reichhardt,

Venegas

et al. 2020

Preprint

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“…For colloids interacting with periodic 1D surfaces, various effects such as transitions among liquid, 2D hexagonal solid, and smectic states appear as a function of increasing substrate strength (Bechinger et al, 2001;Tierno, 2012;Tierno et al, 2008). The next level of complexity is to consider colloids interacting with two dimensional periodic arrays, such as an egg carton (Agra et al, 2004;Bohlein et al, 2012;Mangold et al, 2003;Reichhardt and Olson, 2002;Šarlah et al, 2005), muffin tin (Bechinger et al, 2001), or more complex potentials (Demirrs et al, 2013;Gunnarsson et al, 2005;de las Heras et al, 2016;Loehr et al, 2016a;Massana-Cid et al, 2019;Tierno and Fischer, 2014;Yellen et al, 2005). Such systems can mimic the ordering of atoms on 2D surfaces (Coppersmith et al, 1982), vortices in type-II superconductors with nanostructured pinning (Baert et al, 1995;Harada et al, 1996;Martín et al, 1999), and vortices in Bose-Einstein condensates (Tung et al, 2006) interacting with 2D optical trap arrays.…”

Section: Colloids As a Model Systemmentioning

confidence: 99%

Colloquium : Ice rule and emergent frustration in particle ice and beyond

et al. 2019

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Geometric frustration and the ice rule are two concepts that are intimately connected and widespread across condensed matter. The first refers to the inability of a system to satisfy competing interactions in the presence of spatial constraints. The second, in its more general sense, represents a prescription for the minimization of the topological charges in a constrained system. Both can lead to manifolds of high susceptibility and non-trivial, constrained disorder where exotic behaviors can appear and even be designed deliberately. In this Colloquium, we describe the emergence of geometric frustration and the ice rule in soft condensed matter. This Review excludes the extensive developments of mathematical physics within the field of geometric frustration, but rather focuses on systems of confined micro-or mesoscopic particles that emerge as a novel paradigm exhibiting spin degrees of freedom. In such systems, geometric frustration can be engineered artificially by controlling the spatial topology and geometry of the lattice, the position of the individual particle units, or their relative filling fraction. These capabilities enable the creation of novel and exotic phases of matter, and also potentially lead towards technological applications related to memory and logic devices that are based on the motion of topological defects. We review the rapid progress in theory and experiments and discuss the intimate physical connections with other frustrated systems at different length scales.

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“…We have also extensively studied (with computer simulations and experimentally) the topologically protected transport of paramagnetic colloids above single periodic magnetic patterns [16][17][18][19][20]. There, the transport is driven by a uniform external magnetic field of varying orientation.…”

Section: Introductionmentioning

confidence: 99%

Competition between drift and topological transport of colloidal particles in twisted magnetic patterns

Stuhlmüller,

Fischer,

de las Heras

2024

New J. Phys.

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We simulate the motion of paramagnetic particles between two magnetic patterns with hexagonal symmetry that are twisted at a magic angle. The resulting Morié pattern develops flat channels in the magnetic potential along which colloidal particles can be transported via a drift force of magnitude larger than a critical value. Colloidal transport is also possible via modulation loops of a uniform external field with time varying orientation, in which case the transport is topologically protected. Drift and topological transport compete or cooperate giving rise to several transport modes. Cooperation makes it possible to move particles at drift forces weaker than the critical force. At supercritical drift forces the competition between the transport modes results e.g. in an increase of the average speed of the particles in integer steps and in the occurrence of subharmonic responses. We characterize the system with a dynamical phase diagram of the average particle speed as a function of the direction of the topological transport and the magnitude of the drift force.

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Edge transport at the boundary between topologically equivalent lattices

Cited by 11 publications

References 26 publications

Guided Skyrmion Motion Along Pinning Array Interfaces

Guided Skyrmion Motion Along Pinning Array Interfaces

Colloquium : Ice rule and emergent frustration in particle ice and beyond

Competition between drift and topological transport of colloidal particles in twisted magnetic patterns

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