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

Title: Experimental Realization of the 1D Random Field Ising Model

Abstract

Here we have measured magnetic-field-induced avalanches in a square artificial spin ice array of interacting nanomagnets. Starting from the ground state ordered configuration, we imaged the individual nanomagnet moments after each successive application of an incrementally increasing field. The statistics of the evolution of the moment configuration show good agreement with the canonical one-dimensional random field Ising model. We extract information about the microscopic structure of the arrays from our macroscopic measurements of their collective behavior, demonstrating a process that could be applied to other systems exhibiting avalanches.

Authors:
ORCiD logo [1];  [2];  [2];  [1]; ORCiD logo [1];  [3];  [4];  [4]; ORCiD logo [4];  [2]; ORCiD logo [3]
  1. Yale University, New Haven, CT (United States)
  2. University of Illinois at Urbana-Champaign, IL (United States)
  3. Yale University, New Haven, CT (United States); University of Illinois at Urbana-Champaign, IL (United States)
  4. University of Minnesota, Minneapolis, MN (United States)
Publication Date:
Research Org.:
Univ. of Illinois at Urbana-Champaign, IL (United States); Yale Univ., New Haven, CT (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division (MSE); National Science Foundation (NSF)
OSTI Identifier:
1980230
Grant/Contract Number:  
SC0010778; SC0020162; DMR-1807124; DMR-2103711
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 127; Journal Issue: 20; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; spin ice; magnetic force microscopy; random field lsing model

Citation Formats

Bingham, N.  S., Rooke, S., Park, J., Simon, A., Zhu, W., Zhang, X., Batley, J., Watts, J.  D., Leighton, C., Dahmen, K.  A., and Schiffer, P. Experimental Realization of the 1D Random Field Ising Model. United States: N. p., 2021. Web. doi:10.1103/physrevlett.127.207203.
Bingham, N.  S., Rooke, S., Park, J., Simon, A., Zhu, W., Zhang, X., Batley, J., Watts, J.  D., Leighton, C., Dahmen, K.  A., & Schiffer, P. Experimental Realization of the 1D Random Field Ising Model. United States. https://doi.org/10.1103/physrevlett.127.207203
Bingham, N.  S., Rooke, S., Park, J., Simon, A., Zhu, W., Zhang, X., Batley, J., Watts, J.  D., Leighton, C., Dahmen, K.  A., and Schiffer, P. Thu . "Experimental Realization of the 1D Random Field Ising Model". United States. https://doi.org/10.1103/physrevlett.127.207203. https://www.osti.gov/servlets/purl/1980230.
@article{osti_1980230,
title = {Experimental Realization of the 1D Random Field Ising Model},
author = {Bingham, N.  S. and Rooke, S. and Park, J. and Simon, A. and Zhu, W. and Zhang, X. and Batley, J. and Watts, J.  D. and Leighton, C. and Dahmen, K.  A. and Schiffer, P.},
abstractNote = {Here we have measured magnetic-field-induced avalanches in a square artificial spin ice array of interacting nanomagnets. Starting from the ground state ordered configuration, we imaged the individual nanomagnet moments after each successive application of an incrementally increasing field. The statistics of the evolution of the moment configuration show good agreement with the canonical one-dimensional random field Ising model. We extract information about the microscopic structure of the arrays from our macroscopic measurements of their collective behavior, demonstrating a process that could be applied to other systems exhibiting avalanches.},
doi = {10.1103/physrevlett.127.207203},
journal = {Physical Review Letters},
number = 20,
volume = 127,
place = {United States},
year = {Thu Nov 11 00:00:00 EST 2021},
month = {Thu Nov 11 00:00:00 EST 2021}
}

Works referenced in this record:

Chiral switching and dynamic barrier reductions in artificial square ice
journal, March 2021


Common dependence on stress for the statistics of granular avalanches and earthquakes
journal, July 2015

  • Hatano, Takahiro; Narteau, Clément; Shebalin, Peter
  • Scientific Reports, Vol. 5, Issue 1
  • DOI: 10.1038/srep12280

Cascade failure analysis of power grid using new load distribution law and node removal rule
journal, January 2016

  • Ren, Hai-Peng; Song, Jihong; Yang, Rong
  • Physica A: Statistical Mechanics and its Applications, Vol. 442
  • DOI: 10.1016/j.physa.2015.08.039

Micromagnetic simulations of magnetization reversal in kagome artificial spin ice
journal, December 2020

  • Ferreira Velo, Murilo; Malvezzi Cecchi, Breno; Pirota, Kleber Roberto
  • Physical Review B, Vol. 102, Issue 22
  • DOI: 10.1103/PhysRevB.102.224420

Disorder Strength and Field-Driven Ground State Domain Formation in Artificial Spin Ice: Experiment, Simulation, and Theory
journal, July 2012


Experimental realization of the 1D random field Ising model
dataset, January 2022


Magneto-optical Kerr effect studies of square artificial spin ice
journal, November 2011


Superconducting Vortex Avalanches
journal, February 1995


Crackling noise
journal, March 2001

  • Sethna, James P.; Dahmen, Karin A.; Myers, Christopher R.
  • Nature, Vol. 410, Issue 6825
  • DOI: 10.1038/35065675

Thermally and field-driven mobility of emergent magnetic charges in square artificial spin ice
journal, November 2019


Experimental realization of the 1D random field Ising model
dataset, January 2022


Thermal ground-state ordering and elementary excitations in artificial magnetic square ice
journal, November 2010

  • Morgan, Jason P.; Stein, Aaron; Langridge, Sean
  • Nature Physics, Vol. 7, Issue 1
  • DOI: 10.1038/nphys1853

Advances in artificial spin ice
journal, November 2019

  • Skjærvø, Sandra H.; Marrows, Christopher H.; Stamps, Robert L.
  • Nature Reviews Physics, Vol. 2, Issue 1
  • DOI: 10.1038/s42254-019-0118-3

Domain wall trajectory determined by its fractional topological edge defects
journal, July 2013

  • Pushp, Aakash; Phung, Timothy; Rettner, Charles
  • Nature Physics, Vol. 9, Issue 8
  • DOI: 10.1038/nphys2669

Real-space observation of emergent magnetic monopoles and associated Dirac strings in artificial kagome spin ice
journal, October 2010

  • Mengotti, Elena; Heyderman, Laura J.; Rodríguez, Arantxa Fraile
  • Nature Physics, Vol. 7, Issue 1
  • DOI: 10.1038/nphys1794

Kerr microscopy real-time imaging of the magnetization reversal process in kagome artificial spin ice
journal, April 2020


Magnetic domain dynamics in an insulating quantum ferromagnet
journal, October 2019


Experimental realization of the 1D random field Ising model
other, January 2022


History-induced critical behavior in disordered systems
journal, August 2005


Avalanches and disorder-induced criticality in artificial spin ices
journal, June 2014


Artificial kagome spin ice: dimensional reduction, avalanche control and emergent magnetic monopoles
journal, December 2012

  • Hügli, R. V.; Duff, G.; O'Conchuir, B.
  • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 370, Issue 1981
  • DOI: 10.1098/rsta.2011.0538

Artificial ‘spin ice’ in a geometrically frustrated lattice of nanoscale ferromagnetic islands
journal, January 2006

  • Wang, R. F.; Nisoli, C.; Freitas, R. S.
  • Nature, Vol. 439, Issue 7074
  • DOI: 10.1038/nature04447

Control of emergent magnetic monopole currents in artificial spin ice
journal, October 2020


Random Field Driven Spatial Complexity at the Mott Transition in VO 2
journal, January 2016


Direct visualization of memory effects in artificial spin ice
journal, September 2015


Real-space observation of magnetic excitations and avalanche behavior in artificial quasicrystal lattices
journal, October 2016

  • Brajuskovic, V.; Barrows, F.; Phatak, C.
  • Scientific Reports, Vol. 6, Issue 1
  • DOI: 10.1038/srep34384

Disorder regimes and equivalence of disorder types in artificial spin ice
journal, April 2012

  • Budrikis, Zoe; Politi, Paolo; Stamps, R. L.
  • Journal of Applied Physics, Vol. 111, Issue 7
  • DOI: 10.1063/1.3671434

Scale-free avalanche dynamics in the stock market
journal, October 2006

  • Bartolozzi, M.; Leinweber, D. B.; Thomas, A. W.
  • Physica A: Statistical Mechanics and its Applications, Vol. 370, Issue 1
  • DOI: 10.1016/j.physa.2006.04.024

Spatial complexity due to bulk electronic nematicity in a superconducting underdoped cuprate
journal, January 2012

  • Phillabaum, B.; Carlson, E. W.; Dahmen, K. A.
  • Nature Communications, Vol. 3, Issue 1
  • DOI: 10.1038/ncomms1920

Noise in disordered systems: The power spectrum and dynamic exponents in avalanche models
journal, November 2000


Direct observation of individual Barkhausen avalanches in nucleation-mediated magnetization reversal processes
journal, November 2009

  • Im, Mi-Young; Fischer, Peter; Kim, Dong-Hyun
  • Applied Physics Letters, Vol. 95, Issue 18
  • DOI: 10.1063/1.3256188

Dynamics of Magnetic Charges in Artificial Spin Ice
journal, October 2010


Hysteresis and hierarchies: Dynamics of disorder-driven first-order phase transformations
journal, May 1993


Topological effects in nanomagnetism: from superparamagnetism to chiral quantum solitons
journal, February 2012


Hysteresis, avalanches, and disorder-induced critical scaling: A renormalization-group approach
journal, June 1996


Dynamics of artificial spin ice: a continuous honeycomb network
journal, March 2012


Imaging the stochastic microstructure and dynamic development of correlations in perpendicular artificial spin ice
journal, January 2020


Artificial spin ice: Paths forward
journal, March 2021

  • Schiffer, Peter; Nisoli, Cristiano
  • Applied Physics Letters, Vol. 118, Issue 11
  • DOI: 10.1063/5.0044790