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

Title: Reconfigurable wave band structure of an artificial square ice

Abstract

Artificial square ices are structures composed of magnetic nanoelements arranged on the sites of a twodimensional square lattice, such that there are four interacting magnetic elements at each vertex, leading to geometrical frustration. Using a semianalytical approach, we show that square ices exhibit a rich spin-wave band structure that is tunable both by external magnetic fields and the magnetization configuration of individual elements. Internal degrees of freedom can give rise to equilibrium states with bent magnetization at the element edges leading to characteristic excitations; in the presence of magnetostatic interactions these form separate bands analogous to impurity bands in semiconductors. Full-scale micromagnetic simulations corroborate our semianalytical approach. Our results show that artificial square ices can be viewed as reconfigurable and tunable magnonic crystals that can be used as metamaterials for spin-wave-based applications at the nanoscale.

Authors:
 [1];  [2];  [3];  [4]
  1. Univ. of Colorado, Boulder, CO (United States); Chalmers Univ. of Technology, Gothenburg (Sweden); Univ. of Gothenburg (Sweden)
  2. ETH Zurich (Switzerland); Paul Scherrer Inst. (PSI), Villigen (Switzerland)
  3. Univ. of Glasgow, Scotland (United Kingdom)
  4. Argonne National Lab. (ANL), Lemont, IL (United States); Northwestern-Argonne Inst. for Science and Engineering, Evanston, IL (United States)
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
Swedish Research Council (SRC); USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1339524
Alternate Identifier(s):
OSTI ID: 1247901
Grant/Contract Number:  
AC02-06CH11357
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review, B: Condensed Matter
Additional Journal Information:
Journal Volume: 93; Journal Issue: 13; Journal ID: ISSN 0163-1829
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; atrificial spin ice; magnonics

Citation Formats

lacocca, Ezio, Gliga, Sebastian, Stamps, Robert L., and Heinonen, Olle. Reconfigurable wave band structure of an artificial square ice. United States: N. p., 2016. Web. doi:10.1103/PhysRevB.93.134420.
lacocca, Ezio, Gliga, Sebastian, Stamps, Robert L., & Heinonen, Olle. Reconfigurable wave band structure of an artificial square ice. United States. https://doi.org/10.1103/PhysRevB.93.134420
lacocca, Ezio, Gliga, Sebastian, Stamps, Robert L., and Heinonen, Olle. Mon . "Reconfigurable wave band structure of an artificial square ice". United States. https://doi.org/10.1103/PhysRevB.93.134420. https://www.osti.gov/servlets/purl/1339524.
@article{osti_1339524,
title = {Reconfigurable wave band structure of an artificial square ice},
author = {lacocca, Ezio and Gliga, Sebastian and Stamps, Robert L. and Heinonen, Olle},
abstractNote = {Artificial square ices are structures composed of magnetic nanoelements arranged on the sites of a twodimensional square lattice, such that there are four interacting magnetic elements at each vertex, leading to geometrical frustration. Using a semianalytical approach, we show that square ices exhibit a rich spin-wave band structure that is tunable both by external magnetic fields and the magnetization configuration of individual elements. Internal degrees of freedom can give rise to equilibrium states with bent magnetization at the element edges leading to characteristic excitations; in the presence of magnetostatic interactions these form separate bands analogous to impurity bands in semiconductors. Full-scale micromagnetic simulations corroborate our semianalytical approach. Our results show that artificial square ices can be viewed as reconfigurable and tunable magnonic crystals that can be used as metamaterials for spin-wave-based applications at the nanoscale.},
doi = {10.1103/PhysRevB.93.134420},
journal = {Physical Review, B: Condensed Matter},
number = 13,
volume = 93,
place = {United States},
year = {Mon Apr 18 00:00:00 EDT 2016},
month = {Mon Apr 18 00:00:00 EDT 2016}
}

Journal Article:

Citation Metrics:
Cited by: 55 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Magnonics
journal, June 2010


Broken vertex symmetry and finite zero-point entropy in the artificial square ice ground state
journal, August 2015


Domain-Wall Induced Phase Shifts in Spin Waves
journal, December 2004


Chiral spin-wave edge modes in dipolar magnetic thin films
journal, May 2013


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


Resonant excitation of injection-locked spin-torque oscillators
journal, June 2013


Large Area Artificial Spin Ice and Anti-Spin Ice Ni 80 Fe 20 Structures: Static and Dynamic Behavior
journal, January 2016

  • Zhou, Xue; Chua, Geng-Li; Singh, Navab
  • Advanced Functional Materials, Vol. 26, Issue 9
  • DOI: 10.1002/adfm.201505165

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 2014 Magnetism Roadmap
journal, July 2014

  • Stamps, Robert L.; Breitkreutz, Stephan; Åkerman, Johan
  • Journal of Physics D: Applied Physics, Vol. 47, Issue 33
  • DOI: 10.1088/0022-3727/47/33/333001

Review and prospects of magnonic crystals and devices with reprogrammable band structure
journal, March 2014


Nanostructured Magnonic Crystals with Size-Tunable Bandgaps
journal, January 2010

  • Wang, Zhi Kui; Zhang, Vanessa Li; Lim, Hock Siah
  • ACS Nano, Vol. 4, Issue 2
  • DOI: 10.1021/nn901171u

Colloquium : Artificial spin ice: Designing and imaging magnetic frustration
journal, October 2013

  • Nisoli, Cristiano; Moessner, Roderich; Schiffer, Peter
  • Reviews of Modern Physics, Vol. 85, Issue 4
  • DOI: 10.1103/revmodphys.85.1473

Reconfigurable magnonics heats up
journal, June 2015


The building blocks of magnonics
journal, October 2011


Spin Wave Mode Excited by Spin-Polarized Current in a Magnetic Nanocontact is a Standing Self-Localized Wave Bullet
journal, November 2005


Spin-wave logical gates
journal, October 2005

  • Kostylev, M. P.; Serga, A. A.; Schneider, T.
  • Applied Physics Letters, Vol. 87, Issue 15
  • DOI: 10.1063/1.2089147

From micro- to nanomagnetic dots: evolution of the eigenmode spectrum on reducing the lateral size
journal, June 2014


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


Spin waves in periodic magnetic structures—magnonic crystals
journal, November 2001


Efficient Synchronization of Dipolarly Coupled Vortex-Based Spin Transfer Nano-Oscillators
journal, November 2015

  • Locatelli, Nicolas; Hamadeh, Abbass; Abreu Araujo, Flavio
  • Scientific Reports, Vol. 5, Issue 1
  • DOI: 10.1038/srep17039

Spatial profile of spin excitations in multilayered rectangular nanodots studied by microfocused Brillouin light scattering
journal, April 2011

  • Madami, M.; Carlotti, G.; Gubbiotti, G.
  • Journal of Applied Physics, Vol. 109, Issue 7
  • DOI: 10.1063/1.3536791

Magnonics: Spin Waves on the Nanoscale
journal, July 2009


Ferromagnetic resonance in a topographically modulated permalloy film
journal, April 2015


Topological chiral magnonic edge mode in a magnonic crystal
journal, May 2013


Diagonalization of the quadratic boson hamiltonian
journal, September 1978


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

Nano scale computational architectures with Spin Wave Bus
journal, September 2005

  • Khitun, Alexander; Wang, Kang L.
  • Superlattices and Microstructures, Vol. 38, Issue 3, p. 184-200
  • DOI: 10.1016/j.spmi.2005.07.001

Nonlinear Auto-Oscillator Theory of Microwave Generation by Spin-Polarized Current
journal, April 2009


Magnon transistor for all-magnon data processing
journal, August 2014

  • Chumak, Andrii V.; Serga, Alexander A.; Hillebrands, Burkard
  • Nature Communications, Vol. 5, Issue 1
  • DOI: 10.1038/ncomms5700

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


Optically reconfigurable magnetic materials
journal, May 2015

  • Vogel, Marc; Chumak, Andrii V.; Waller, Erik H.
  • Nature Physics, Vol. 11, Issue 6
  • DOI: 10.1038/nphys3325

Property variation with shape in magnetic nanoelements
journal, December 1999


Band Diagram of Spin Waves in a Two-Dimensional Magnonic Crystal
journal, September 2011


Forbidden Band Gaps in the Spin-Wave Spectrum of a Two-Dimensional Bicomponent Magnonic Crystal
journal, September 2012


Oscillatory Energy Exchange between Waves Coupled by a Dynamic Artificial Crystal
journal, January 2012


Direct observation of the ice rule in an artificial kagome spin ice
journal, March 2008


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


Experimental Evidence of Self-Localized and Propagating Spin Wave Modes in Obliquely Magnetized Current-Driven Nanocontacts
journal, November 2010


Generation linewidth of mode-hopping spin torque oscillators
journal, February 2014


Mode-coupling mechanisms in nanocontact spin-torque oscillators
journal, March 2015


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

Probing a mesoscopic elephant
journal, January 2021


The building blocks of magnonics
text, January 2011


Oscillatory Energy Exchange Between Waves Coupled by a Dynamic Artificial Crystal
text, January 2011


Topological chiral magnonic edge mode in a magnonic crystal
text, January 2012


Chiral spin-wave edge modes in dipolar magnetic thin films
text, January 2013


Colloquium: Artificial spin ice: Designing and imaging magnetic frustration
text, January 2013


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


Works referencing / citing this record:

Tunable magnetization dynamics in artificial spin ice via shape anisotropy modification
journal, August 2019


Magnetization dynamics in artificial spin ice
journal, October 2019


Thermally induced magnetic relaxation in square artificial spin ice
journal, November 2016

  • Andersson, M. S.; Pappas, S. D.; Stopfel, H.
  • Scientific Reports, Vol. 6, Issue 1
  • DOI: 10.1038/srep37097

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

Tuning magnetic ordering in a dipolar square-kite tessellation
journal, February 2018

  • Petersen, Charlotte F.; Farhan, Alan; Dhuey, Scott
  • Applied Physics Letters, Vol. 112, Issue 9
  • DOI: 10.1063/1.5014041

Topologically Nontrivial Magnon Bands in Artificial Square Spin Ices with Dzyaloshinskii-Moriya Interaction
journal, September 2017


Angular-dependent spin dynamics of a triad of permalloy macrospins
journal, January 2019


Spin wave propagation properties across configurational antiferro/ferro-magnetic transitions
journal, December 2018

  • Kuźma, D.; Montoncello, F.; Sobieszczyk, P.
  • Journal of Applied Physics, Vol. 124, Issue 22
  • DOI: 10.1063/1.5057419

Field-induced phase coexistence in an artificial spin ice
journal, December 2018


Thermally induced magnetic relaxation in square artificial spin ice
text, January 2016


High frequency dynamics modulated by collective magnetization reversal in artificial spin ice
text, January 2017


Sculpting the Spin-Wave Response of Artificial Spin Ice via Microstate Selection
text, January 2018


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