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

Title: Thermally induced magnetic relaxation in square artificial spin ice

Abstract

The properties of natural and artificial assemblies of interacting elements, ranging from Quarks to Galaxies, are at the heart of Physics. The collective response and dynamics of such assemblies are dictated by the intrinsic dynamical properties of the building blocks, the nature of their interactions and topological constraints. Here in this paper, we report on the relaxation dynamics of the magnetization of artificial assemblies of mesoscopic spins. In our model nano-magnetic system $$-$$ square artificial spin ice $$-$$ we are able to control the geometrical arrangement and interaction strength between the magnetically interacting building blocks by means of nano-lithography. Using time resolved magnetometry we show that the relaxation process can be described using the Kohlrausch law and that the extracted temperature dependent relaxation times of the assemblies follow the Vogel-Fulcher law. The results provide insight into the relaxation dynamics of mesoscopic nano-magnetic model systems, with adjustable energy and time scales, and demonstrates that these can serve as an ideal playground for the studies of collective dynamics and relaxations.

Authors:
 [1];  [2];  [2];  [2];  [3];  [1];  [1];  [2];  [2]
  1. Uppsala Univ. (Sweden). Dept. of Engineering Sciences
  2. Uppsala Univ. (Sweden). Dept. of Physics and Astronomy
  3. Brookhaven National Lab. (BNL), Upton, NY (United States). Center for Functional Nanomaterials (CFN)
Publication Date:
Research Org.:
Brookhaven National Laboratory (BNL), Upton, NY (United States). Center for Functional Nanomaterials (CFN)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1349578
Report Number(s):
BNL-113722-2017-JA
Journal ID: ISSN 2045-2322; KC0403020
Grant/Contract Number:  
SC0012704
Resource Type:
Accepted Manuscript
Journal Name:
Scientific Reports
Additional Journal Information:
Journal Volume: 6; Journal Issue: 1; Journal ID: ISSN 2045-2322
Publisher:
Nature Publishing Group
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 77 NANOSCIENCE AND NANOTECHNOLOGY; Center for Functional Nanomaterials

Citation Formats

Andersson, M. S., Pappas, S. D., Stopfel, H., Östman, E., Stein, A., Nordblad, P., Mathieu, R., Hjörvarsson, B., and Kapaklis, V. Thermally induced magnetic relaxation in square artificial spin ice. United States: N. p., 2016. Web. doi:10.1038/srep37097.
Andersson, M. S., Pappas, S. D., Stopfel, H., Östman, E., Stein, A., Nordblad, P., Mathieu, R., Hjörvarsson, B., & Kapaklis, V. Thermally induced magnetic relaxation in square artificial spin ice. United States. https://doi.org/10.1038/srep37097
Andersson, M. S., Pappas, S. D., Stopfel, H., Östman, E., Stein, A., Nordblad, P., Mathieu, R., Hjörvarsson, B., and Kapaklis, V. Thu . "Thermally induced magnetic relaxation in square artificial spin ice". United States. https://doi.org/10.1038/srep37097. https://www.osti.gov/servlets/purl/1349578.
@article{osti_1349578,
title = {Thermally induced magnetic relaxation in square artificial spin ice},
author = {Andersson, M. S. and Pappas, S. D. and Stopfel, H. and Östman, E. and Stein, A. and Nordblad, P. and Mathieu, R. and Hjörvarsson, B. and Kapaklis, V.},
abstractNote = {The properties of natural and artificial assemblies of interacting elements, ranging from Quarks to Galaxies, are at the heart of Physics. The collective response and dynamics of such assemblies are dictated by the intrinsic dynamical properties of the building blocks, the nature of their interactions and topological constraints. Here in this paper, we report on the relaxation dynamics of the magnetization of artificial assemblies of mesoscopic spins. In our model nano-magnetic system $-$ square artificial spin ice $-$ we are able to control the geometrical arrangement and interaction strength between the magnetically interacting building blocks by means of nano-lithography. Using time resolved magnetometry we show that the relaxation process can be described using the Kohlrausch law and that the extracted temperature dependent relaxation times of the assemblies follow the Vogel-Fulcher law. The results provide insight into the relaxation dynamics of mesoscopic nano-magnetic model systems, with adjustable energy and time scales, and demonstrates that these can serve as an ideal playground for the studies of collective dynamics and relaxations.},
doi = {10.1038/srep37097},
journal = {Scientific Reports},
number = 1,
volume = 6,
place = {United States},
year = {Thu Nov 24 00:00:00 EST 2016},
month = {Thu Nov 24 00:00:00 EST 2016}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 16 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Non-symmetrical dielectric relaxation behaviour arising from a simple empirical decay function
journal, January 1970

  • Williams, Graham; Watts, David C.
  • Transactions of the Faraday Society, Vol. 66
  • DOI: 10.1039/tf9706600080

The ‘universal’ dielectric response
journal, June 1977


Models of Hierarchically Constrained Dynamics for Glassy Relaxation
journal, September 1984


Nonexponential relaxations in strong and fragile glass formers
journal, September 1993

  • Böhmer, R.; Ngai, K. L.; Angell, C. A.
  • The Journal of Chemical Physics, Vol. 99, Issue 5
  • DOI: 10.1063/1.466117

A structural approach to relaxation in glassy liquids
journal, February 2016

  • Schoenholz, S. S.; Cubuk, E. D.; Sussman, D. M.
  • Nature Physics, Vol. 12, Issue 5
  • DOI: 10.1038/nphys3644

Ageing dynamics of a superspin glass
journal, September 2014

  • Andersson, Mikael Svante; De Toro, Jose Angel; Lee, Su Seong
  • EPL (Europhysics Letters), Vol. 108, Issue 1
  • DOI: 10.1209/0295-5075/108/17004

Glass-like behaviour of proteins as seen by Mössbauer spectroscopy
journal, June 1991


Relaxation and Diffusion in Complex Systems
book, January 2011


Creation and measurement of long-lived magnetic monopole currents in spin ice
journal, February 2011

  • Giblin, S. R.; Bramwell, S. T.; Holdsworth, P. C. W.
  • Nature Physics, Vol. 7, Issue 3
  • DOI: 10.1038/nphys1896

Evidence of impurity and boundary effects on magnetic monopole dynamics in spin ice
journal, November 2012

  • Revell, H. M.; Yaraskavitch, L. R.; Mason, J. D.
  • Nature Physics, Vol. 9, Issue 1
  • DOI: 10.1038/nphys2466

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

Direct Observation of Thermal Relaxation in Artificial Spin Ice
journal, August 2013


Thermal fluctuations in artificial spin ice
journal, June 2014

  • Kapaklis, Vassilios; Arnalds, Unnar B.; Farhan, Alan
  • Nature Nanotechnology, Vol. 9, Issue 7, p. 514-519
  • DOI: 10.1038/nnano.2014.104

The theory of the Vogel-Fulcher law of spin glasses
journal, October 1981


Effect of Sample Concentration on the Determination of the Anisotropy Constant of Magnetic Nanoparticles
journal, March 2010

  • Calero-Diaz del Castillo, Victoria L.; Rinaldi, Carlos
  • IEEE Transactions on Magnetics, Vol. 46, Issue 3
  • DOI: 10.1109/TMAG.2009.2032240

Demagnetizing Factors of the General Ellipsoid
journal, June 1945


Thermodynamics of emergent magnetic charge screening in artificial spin ice
journal, September 2016

  • Farhan, Alan; Scholl, Andreas; Petersen, Charlotte F.
  • Nature Communications, Vol. 7, Issue 1
  • DOI: 10.1038/ncomms12635

Thermodynamic phase transitions in a frustrated magnetic metamaterial
journal, September 2015

  • Anghinolfi, L.; Luetkens, H.; Perron, J.
  • Nature Communications, Vol. 6, Issue 1
  • DOI: 10.1038/ncomms9278

Emergent reduced dimensionality by vertex frustration in artificial spin ice
journal, October 2015

  • Gilbert, Ian; Lao, Yuyang; Carrasquillo, Isaac
  • Nature Physics, Vol. 12, Issue 2
  • DOI: 10.1038/nphys3520

Reconfigurable wave band structure of an artificial square ice
journal, April 2016


Spectral Analysis of Topological Defects in an Artificial Spin-Ice Lattice
journal, March 2013


Dynamic response of an artificial square spin ice
journal, March 2016


Dimensionality crossover in the induced magnetization of Pd layers
journal, May 2007


A low field superconducting quantum interference device magnetometer for dynamic measurements
journal, October 1997

  • Magnusson, J.; Djurberg, C.; Granberg, P.
  • Review of Scientific Instruments, Vol. 68, Issue 10
  • DOI: 10.1063/1.1148023

Artificial ‘spin ice’ in a geometrically frustrated lattice of nanoscale ferromagnetic islands
journal, March 2007

  • Wang, R. F.; Nisoli, C.; Freitas, R. S.
  • Nature, Vol. 446, Issue 7131
  • DOI: 10.1038/nature05607

The universal dielectric response
conference, January 1990


Models of Hierarchically Constrained Dynamics for Glassy Relaxation
journal, April 1985


Non-exponential relaxations in strong and fragile glass-formers
text, January 1993

  • Böhmer, Roland; Ngai, K. L.; Angell, C. A.
  • The American Institute of Physics
  • DOI: 10.17877/de290r-3412

Thermodynamic phase transitions in a frustrated magnetic metamaterial
text, January 2015


Dynamic response of an artificial square spin ice
text, January 2016


Glass-like behaviour of proteins as seen by Mössbauer spectroscopy
journal, June 1991


Thermodynamic phase transitions in a frustrated magnetic metamaterial
journal, September 2015

  • Anghinolfi, L.; Luetkens, H.; Perron, J.
  • Nature Communications, Vol. 6, Issue 1
  • DOI: 10.1038/ncomms9278

Thermal fluctuations in artificial spin ice
journal, June 2014

  • Kapaklis, Vassilios; Arnalds, Unnar B.; Farhan, Alan
  • Nature Nanotechnology, Vol. 9, Issue 7, p. 514-519
  • DOI: 10.1038/nnano.2014.104

Creation and measurement of long-lived magnetic monopole currents in spin ice
journal, February 2011

  • Giblin, S. R.; Bramwell, S. T.; Holdsworth, P. C. W.
  • Nature Physics, Vol. 7, Issue 3
  • DOI: 10.1038/nphys1896

A low field superconducting quantum interference device magnetometer for dynamic measurements
journal, October 1997

  • Magnusson, J.; Djurberg, C.; Granberg, P.
  • Review of Scientific Instruments, Vol. 68, Issue 10
  • DOI: 10.1063/1.1148023

Dimensionality crossover in the induced magnetization of Pd layers
journal, May 2007


Artificial ferroic systems: novel functionality from structure, interactions and dynamics
journal, August 2013


Spin Ice State in Frustrated Magnetic Pyrochlore Materials
journal, November 2001


A Novel Method for Curvefitting the Stretched Exponential Function to Experimental Data
journal, December 2013

  • K. June, Ronald; P. Cunningham, John; P. Fyhrie, David
  • Biomedical Engineering Research
  • DOI: 10.5963/ber0204001

Works referencing / citing this record:

Magnetization dynamics of weakly interacting sub-100 nm square artificial spin ices
journal, December 2019


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

Collective magnetization dynamics in nanoarrays of thin FePd disks
journal, May 2019


Cooperative magnetic phenomena in artificial spin systems: spin liquids, Coulomb phase and fragmentation of magnetism – a colloquium
journal, March 2019


Collective magnetization dynamics in nano-arrays of thin FePd discs
text, January 2019