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Title: Inner Phases of Colloidal Hexagonal Spin Ice

 [1];  [2];  [2];  [2]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Babeş-Bolyai Univ., Cluj (Romania). Mathematics and Computer Science Dept.
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
Alternate Identifier(s):
OSTI ID: 1416838; OSTI ID: 1514975
Report Number(s):
LA-UR-18-29684; LA-UR-17-27913
Journal ID: ISSN 0031-9007
Grant/Contract Number:  
AC52-06NA25396; 89233218CNA000001
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 120; Journal Issue: 2; Journal ID: ISSN 0031-9007
American Physical Society (APS)
Country of Publication:
United States
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; phase transitions; spin ice; colloids; Material Science

Citation Formats

Libál, A., Nisoli, C., Reichhardt, C. J. O., and Reichhardt, C. Inner Phases of Colloidal Hexagonal Spin Ice. United States: N. p., 2018. Web.
Libál, A., Nisoli, C., Reichhardt, C. J. O., & Reichhardt, C. Inner Phases of Colloidal Hexagonal Spin Ice. United States.
Libál, A., Nisoli, C., Reichhardt, C. J. O., and Reichhardt, C. Fri . "Inner Phases of Colloidal Hexagonal Spin Ice". United States.
title = {Inner Phases of Colloidal Hexagonal Spin Ice},
author = {Libál, A. and Nisoli, C. and Reichhardt, C. J. O. and Reichhardt, C.},
abstractNote = {},
doi = {10.1103/PhysRevLett.120.027204},
journal = {Physical Review Letters},
number = 2,
volume = 120,
place = {United States},
year = {2018},
month = {1}

Journal Article:

Citation Metrics:
Cited by: 7 works
Citation information provided by
Web of Science

Figures / Tables:

FIG. 1 FIG. 1: Schematic of the particle-based hexagonal artificial spin ice. Each double well trap (light grey) holds a single paramagnetic colloid (dark grey dots). The hexagonal plaquettes contain arrows indicating the pseudospin $\overrightarrow{σ}$i of the adjacent traps, colored according to the chirality χi = +1 (clockwise, dark grey) or χimore » = −1 (counter-clockwise, white). The plaquettes are colored according to their net spin chirality χ: clockwise (red), counter-clockwise (blue), or achiral (grey). Colored disks are guides to the eye and indicate the vertex type: n = 0 or 0-in (dark blue), n = 1 (light blue), n = 2 (light red), and n = 3 (dark red); arrows (of length 2) or dots (of length 0) on the disks indicate the vectorial sum $\overrightarrow{s}$i of the pseudospins adjacent to each vertex.« less

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Works referenced in this record:

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

Freezing and thawing of artificial ice by thermal switching of geometric frustration in magnetic flux lattices
journal, August 2014

  • Trastoy, J.; Malnou, M.; Ulysse, C.
  • Nature Nanotechnology, Vol. 9, Issue 9, p. 710-715
  • DOI: 10.1038/nnano.2014.158

Artificial Square Ice and Related Dipolar Nanoarrays
journal, June 2006

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

Multi-step ordering in kagome and square artificial spin ice
journal, February 2012

Degeneracy and Criticality from Emergent Frustration in Artificial Spin Ice
journal, October 2013

Size distribution of magnetic charge domains in thermally activated but out-of-equilibrium artificial spin ice
journal, July 2014

  • Montaigne, F.; Lacour, D.; Chioar, I. A.
  • Scientific Reports, Vol. 4, Issue 1
  • DOI: 10.1038/srep05702

Dumping topological charges on neighbors: ice manifolds for colloids and vortices
journal, November 2014

Emergent geometric frustration of artificial magnetic skyrmion crystals
journal, October 2016

Crystallites of magnetic charges in artificial spin ice
journal, August 2013

  • Zhang, Sheng; Gilbert, Ian; Nisoli, Cristiano
  • Nature, Vol. 500, Issue 7464
  • DOI: 10.1038/nature12399

Direct observation of magnetic monopole defects in an artificial spin-ice system
journal, April 2010

  • Ladak, S.; Read, D. E.; Perkins, G. K.
  • Nature Physics, Vol. 6, Issue 5
  • DOI: 10.1038/nphys1628

Two-Stage Ordering of Spins in Dipolar Spin Ice on the Kagome Lattice
journal, May 2011

Hysteresis and return-point memory in colloidal artificial spin ice systems
journal, August 2012

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

Fragmentation of magnetism in artificial kagome dipolar spin ice
journal, May 2016

  • Canals, Benjamin; Chioar, Ioan-Augustin; Nguyen, Van-Dai
  • Nature Communications, Vol. 7, Issue 1
  • DOI: 10.1038/ncomms11446

Doped colloidal artificial spin ice
journal, October 2015

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

Emergent ice rule and magnetic charge screening from vertex frustration in artificial spin ice
journal, August 2014

  • Gilbert, Ian; Chern, Gia-Wei; Zhang, Sheng
  • Nature Physics, Vol. 10, Issue 9
  • DOI: 10.1038/nphys3037

Engineering of frustration in colloidal artificial ices realized on microfeatured grooved lattices
journal, February 2016

  • Ortiz-Ambriz, Antonio; Tierno, Pietro
  • Nature Communications, Vol. 7, Issue 1
  • DOI: 10.1038/ncomms10575

A new look on the two-dimensional Ising model: thermal artificial spins
journal, January 2016

Tunable Flux-Matching Effects in High- T c Superconductors with Nonuniform Pinning Arrays
journal, November 2015

Magnetic multipole analysis of kagome and artificial spin-ice dipolar arrays
journal, October 2009

Realization of Artificial Ice Systems for Magnetic Vortices in a Superconducting MoGe Thin Film with Patterned Nanostructures
journal, August 2013

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

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

Creating Artificial Ice States Using Vortices in Nanostructured Superconductors
journal, June 2009

Geometric Frustration of Colloidal Dimers on a Honeycomb Magnetic Lattice
journal, January 2016

Dynamic Control of Topological Defects in Artificial Colloidal Ice
journal, April 2017

Defect Dynamics in Artificial Colloidal Ice: Real-Time Observation, Manipulation, and Logic Gate
journal, October 2016

Realizing three-dimensional artificial spin ice by stacking planar nano-arrays
journal, January 2014

  • Chern, Gia-Wei; Reichhardt, Charles; Nisoli, Cristiano
  • Applied Physics Letters, Vol. 104, Issue 1
  • DOI: 10.1063/1.4861118

Rewritable artificial magnetic charge ice
journal, May 2016

Realizing Colloidal Artificial Ice on Arrays of Optical Traps
journal, November 2006

Frustrated colloidal ordering and fully packed loops in arrays of optical traps
journal, June 2013

Frustration by design
journal, July 2016

  • Gilbert, Ian; Nisoli, Cristiano; Schiffer, Peter
  • Physics Today, Vol. 69, Issue 7
  • DOI: 10.1063/PT.3.3237

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

Mapping degenerate vortex states in a kagome lattice of elongated antidots via scanning Hall probe microscopy
journal, July 2017

Melting artificial spin ice
journal, March 2012

Deliberate exotic magnetism via frustration and topology
journal, March 2017

  • Nisoli, Cristiano; Kapaklis, Vassilios; Schiffer, Peter
  • Nature Physics, Vol. 13, Issue 3
  • DOI: 10.1038/nphys4059

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

Direct imaging of coexisting ordered and frustrated sublattices in artificial ferromagnetic quasicrystals
journal, April 2016

Unhappy vertices in artificial spin ice: new degeneracies from vertex frustration
journal, April 2013

    Works referencing / citing this record:

    Competing orders in colloidal kagome ice: Importance of the in-trap motion of the particles
    journal, April 2019

    Ice rule fragility via topological charge transfer in artificial colloidal ice
    journal, October 2018

    High-order elastic multipoles as colloidal atoms
    journal, April 2019

    Colloquium : Ice rule and emergent frustration in particle ice and beyond
    journal, December 2019

    • Ortiz-Ambriz, Antonio; Nisoli, Cristiano; Reichhardt, Charles
    • Reviews of Modern Physics, Vol. 91, Issue 4
    • DOI: 10.1103/revmodphys.91.041003

    Attraction Controls the Entropy of Fluctuations in Isosceles Triangular Networks
    journal, February 2018

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