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Gauge invariant and gauge dependent aspects of topological walking colloidal bipeds

Title data

Mirzaee-Kakhki, Mahla ; Ernst, Adrian ; de las Heras, Daniel ; Urbaniak, Maciej ; Stobiecki, Feliks ; Tomita, Andreea ; Huhnstock, Rico ; Koch, Iris ; Ehresmann, Arno ; Holzinger, Dennis ; Fischer, Thomas:
Gauge invariant and gauge dependent aspects of topological walking colloidal bipeds.
In: Soft Matter. Vol. 17 (2021) Issue 6 . - pp. 1663-1674.
ISSN 1744-6848

Abstract in another language

Paramagnetic colloidal spheres assemble to colloidal bipeds of various length in an external magnetic field. When the bipeds reside above a magnetic pattern and we modulate the direction of the external magnetic field, the rods perform topologically distinct classes of protected motion above the pattern. The topological protection allows each class to be robust against small continuous deformations of the driving loop of the external field. We observe motion of the rod from a passive central sliding and rolling motion for short bipeds toward a walking motion with both ends of the rod alternately touching down on the pattern for long bipeds. The change of character of the motion occurs in form of discrete topological transitions. The topological protection makes walking a form of motion robust against the breaking of the non symmorphic symmetry. In patterns with non symmorphic symmetry walking is reversible. In symmorphic patterns lacking a glide plane the walking can be irreversible or reversible involving or not involving ratchet jumps. Using different gauges allows us to unravel the active and passive aspects of the topological walks.

Further data

Item Type: Article in a journal
Refereed: Yes
Keywords: topology; physics; transport; gauge theory; walking
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Professor Experimental Physics X > Professor Experimental Physics X - Univ.-Prof. Dr. Thomas Fischer
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 530 Physics
Date Deposited: 16 Mar 2023 10:28
Last Modified: 16 Mar 2023 10:28