DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: String Phase in an Artificial Spin Ice

Journal Article · · Nature Communications

Abstract One-dimensional strings of local excitations are a fascinating feature of the physical behavior of strongly correlated topological quantum matter. Here we study strings of local excitations in a classical system of interacting nanomagnets, the Santa Fe Ice geometry of artificial spin ice. We measured the moment configuration of the nanomagnets, both after annealing near the ferromagnetic Curie point and in a thermally dynamic state. While the Santa Fe Ice lattice structure is complex, we demonstrate that its disordered magnetic state is naturally described within a framework of emergent strings. We show experimentally that the string length follows a simple Boltzmann distribution with an energy scale that is associated with the system’s magnetic interactions and is consistent with theoretical predictions. The results demonstrate that string descriptions and associated topological characteristics are not unique to quantum models but can also provide a simplifying description of complex classical systems with non-trivial frustration.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
National Science Foundation (NSF); UK Royal Society; USDOE; USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division
Grant/Contract Number:
89233218CNA000001; SC0010778; SC0020162
OSTI ID:
1829909
Report Number(s):
LA-UR--20-24782; 6514; PII: 26734
Journal Information:
Nature Communications, Journal Name: Nature Communications Journal Issue: 1 Vol. 12; ISSN 2041-1723
Publisher:
Nature Publishing GroupCopyright Statement
Country of Publication:
United Kingdom
Language:
English

References (35)

Fault-tolerant quantum computation by anyons journal January 2003
Magnetic monopoles in spin ice journal January 2008
Crystallites of magnetic charges in artificial spin ice journal August 2013
Topological frustration of artificial spin ice journal January 2017
Emergent dynamic chirality in a thermally driven artificial spin ratchet journal October 2017
Emergent ice rule and magnetic charge screening from vertex frustration in artificial spin ice journal August 2014
The unhappy wanderer journal August 2014
Emergent reduced dimensionality by vertex frustration in artificial spin ice journal October 2015
Deliberate exotic magnetism via frustration and topology journal March 2017
Nanoscale control of competing interactions and geometrical frustration in a dipolar trident lattice journal October 2017
Collective magnetism in an artificial 2D XY spin system journal July 2018
A tunable magnetic metamaterial based on the dipolar four-state Potts model journal October 2018
Realization of ground state in artificial kagome spin ice via topological defect-driven magnetic writing journal November 2017
Frustration and thermalization in an artificial magnetic quasicrystal journal December 2017
Classical topological order in the kinetics of artificial spin ice journal April 2018
Advances in artificial spin ice journal November 2019
Understanding thermal annealing of artificial spin ice journal November 2019
Artificial spin ice: Paths forward journal March 2021
Reconnection scaling in quantum fluids journal January 2019
Unhappy vertices in artificial spin ice: new degeneracies from vertex frustration journal April 2013
Exploring thermally induced states in square artificial spin-ice arrays journal May 2013
String-net condensation: A physical mechanism for topological phases journal January 2005
Degeneracy and Criticality from Emergent Frustration in Artificial Spin Ice journal October 2013
Classical Topological Order in Abelian and Non-Abelian Generalized Height Models journal December 2013
Gapped Domain Walls, Gapped Boundaries, and Topological Degeneracy journal February 2015
Geometrical Frustration in the Ferromagnetic Pyrochlore Ho 2 Ti 2 O 7 journal September 1997
Chern-Simons theory and topological strings journal August 2005
Colloquium : Zoo of quantum-topological phases of matter journal December 2017
Rewritable artificial magnetic charge ice journal May 2016
Choreographed entanglement dances: Topological states of quantum matter journal February 2019
Non-Abelian band topology in noninteracting metals journal August 2019
Cooperative magnetic phenomena in artificial spin systems: spin liquids, Coulomb phase and fragmentation of magnetism – a colloquium journal March 2019
Topological order of the Rys F-model and its breakdown in realistic square spin ice: Topological sectors of Faraday loops journal November 2020
Extending topological surgery to natural processes and dynamical systems journal September 2017
Data from: String phase in an artificial spin ice dataset January 2021

Similar Records

Classical topological order in the kinetics of artificial spin ice
Journal Article · Mon Apr 02 00:00:00 UTC 2018 · Nature Physics · OSTI ID:1479948

Emergent magnetic monopole dynamics in macroscopically degenerate artificial spin ice
Journal Article · Fri Feb 08 00:00:00 UTC 2019 · Science Advances · OSTI ID:1542371

Ice Nucleation Spectrometer (INS) Instrument Handbook
Technical Report · Fri Mar 15 04:00:00 UTC 2024 · OSTI ID:1846263