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Title: Topological kinetic crossover in a nanomagnet array

Journal Article · · Science

Ergodic kinetics, which are critical to equilibrium thermodynamics, can be constrained by a system’s topology. Here, we studied a model nanomagnetic array in which such constraints visibly affect the behavior of the magnetic moments. In this system, magnetic excitations connect into thermally active one-dimensional strings whose motion can be imaged in real time. At high temperatures, our data showed 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.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Yale Univ., New Haven, CT (United States)
Sponsoring Organization:
USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division (MSE); National Science Foundation (NSF); USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
89233218CNA000001; AC02-05CH11231; DMR-2103711; SC0020162
OSTI ID:
1992263
Alternate ID(s):
OSTI ID: 2547603
Report Number(s):
LA-UR-22-27019; TRN: US2404184
Journal Information:
Science, Vol. 380, Issue 6644; ISSN 0036-8075
Publisher:
AAASCopyright Statement
Country of Publication:
United States
Language:
English

References (42)

The unhappy wanderer journal August 2014
Statistical mechanics and topology of polymer chains journal December 1975
The topological properties of magnetic helicity journal October 1984
Broken ergodicity journal December 1982
The design and verification of MuMax3 journal October 2014
Topological kinetic crossover in a nanomagnet array dataset January 2023
Rigidity and ergodicity of randomly cross-linked macromolecules journal June 1987
Ising formulations of many NP problems journal January 2014
Soap, cells and statistics—random patterns in two dimensions journal January 1984
Advances in artificial spin ice journal November 2019
Topological order of the Rys F-model and its breakdown in realistic square spin ice: Topological sectors of Faraday loops journal November 2020
Vortex Reconnection journal January 1994
Collective magnetic dynamics in artificial spin ice probed by ac susceptibility journal April 2020
Symmetry, Landau theory and polytope models of glass journal August 1984
Topological kinetic crossover in a nanomagnet array dataset January 2023
The effect of confinement on thermal fluctuations in nanomagnets journal April 2021
Dipolar needles in the microcanonical ensemble: Evidence of spontaneous magnetization and ergodicity breaking journal October 2013
Magnetic field dependent thermodynamic properties of square and quadrupolar artificial spin ice journal March 2022
Glass transition in self-organizing cellular patterns journal September 1999
String Phase in an Artificial Spin Ice journal November 2021
Collective magnetic dynamics in artificial spin ice probed by AC susceptibility dataset January 2020
Vortex reconnection in superfluid helium journal August 1993
A taste for anelloni journal December 2014
The structure and statistical mechanics of glass book January 2005
Theory of the Structure Factor of Metallic Glasses journal November 1984
Effects of topology on network evolution journal July 2006
Glassy dynamics of kinetically constrained models journal June 2003
Extending topological surgery to natural processes and dynamical systems journal September 2017
Magnetic reconnection journal March 2010
Order in two-dimensional binary random arrays journal July 1982
Topology Evolution and Gelation Mechanism of Agarose Gel journal March 2005
Direct Observation of Thermal Relaxation in Artificial Spin Ice journal August 2013
A topologically driven glass in ring polymers journal April 2016
Broken Ergodicity in Classically Chaotic Spin Systems journal September 2004
Emergent reduced dimensionality by vertex frustration in artificial spin ice journal October 2015
Unhappy vertices in artificial spin ice: new degeneracies from vertex frustration journal April 2013
Classical height models with topological order journal April 2011
Breaking of Ergodicity and Long Relaxation Times in Systems with Long-Range Interactions journal December 2005
Qubit spin ice journal July 2021
Artificial spin ice: Paths forward journal March 2021
Physics and phenomenology of strain hardening: the FCC case journal January 2003
Qubit Spin Ice dataset January 2021

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