Topological Kinetic Crossover in a Nanomagnet Array

Abstract

Ergodic kinetics, which are critical to equilibrium thermodynamics, can be constrained by a system's topology. We study a model nanomagnetic array in which such constraints visibly affect the behavior. In this system, magnetic excitations connect into thermally active one-dimensional strings whose motion can be imaged in real time. At high temperatures, we observe the merging, breaking, and reconnecting of strings, resulting in the system transitioning between topologically distinct configurations. Below a crossover temperature, the string motion is dominated by simple changes in length and shape. In this low temperature regime, the system is energetically stable because of its inability to explore all possible topological configurations. This kinetic crossover suggests a generalizable conception of topologically broken ergodicity and limited equilibration.

arXiv comment10 pages main text, 5 figures, 11 pages supplementary material

References in corpus (17)

• The design and verification of Mumax3
• Ising formulations of many NP problems
• Glassy dynamics of kinetically constrained models
• Breaking of ergodicity and long relaxation times in systems with long-range interactions
• Unhappy Vertices in Artificial Spin Ice: Degeneracy from Vertex-Frustration
• A Topologically Driven Glass in Ring Polymers
• Qubit spin ice
• Broken Ergodicity in classically chaotic spin systems
• Glass transition in self organizing cellular patterns
• Dipolar needles in the microcanonical ensemble: evidence of spontaneous magnetization and ergodicity breaking
• Field-Induced Magnetic Monopole Plasma in Artificial Spin Ice
• Topological Kinetic Crossover in a Nanomagnet Array
• Collective magnetic dynamics in artificial spin ice probed by AC susceptibility
• Classical topological order of the Rys F-model and its breakdown in realistic spin ice: Topological sectors of Faraday loops
• The effect of confinement on thermally induced fluctuations in nanomagnets
• Extending Topological Surgery to Natural Processes and Dynamical Systems
• Magnetic-Field-Dependent Thermodynamic Properties of Square and Quadrupolar Artificial Spin Ice

Cited by in corpus (4)

• Topological Kinetic Crossover in a Nanomagnet Array
• Artificial Spin Ice: A Tutorial on Design and Control of Geometry, Microstate, Magnon Dynamics & Neuromorphic Computing
• The dipolar Aleppo lattice: Ground state ordering and ergodic dynamics in the absence of vertex frustration
• Long-Range Magnetic Order in Structurally Embedded Mesospin Metamaterials