Quenched dynamics of artificial colloidal spin ice

Libál, A.; del Campo, A.; Nisoli, C.; Reichhardt, C.; Reichhardt, C. J. O.

doi:10.1103/PhysRevResearch.2.033433

Title: Quenched dynamics of artificial colloidal spin ice

Journal Article · Thu Sep 17 00:00:00 EDT 2020 · Physical Review Research

DOI:https://doi.org/10.1103/PhysRevResearch.2.033433· OSTI ID:2325512

;

; Nisoli, C.; Reichhardt, C.;

Artificial spin ices are ideal frustrated model systems in which to explore or design emergent phenomena with unprecedented characterization of the constituent degrees of freedom. In square spin ice, violations of the ice rule are topological excitations essential to the kinetics of the system, providing an ideal test bed for studying the dynamics of such defects under varied quench rates. In this work we examine possible scenarios including the Kibble-Zurek mechanism and critical coarsening in colloidal square and hexagonal ice under quenches from a weakly interacting liquid state into a strongly interacting regime. As expected, for infinitely slow quenches, the system is free of defects such as monopoles, while for increasing quench rate, an increasing number of defects in the form of monopoles or grain boundaries remain in the sample. For square ice, we find regimes in which the defect population decreases as a power law with decreasing quench rate. A detailed scaling analysis shows that for a wide range of parameters, including quench rates that are accessible by experiments, the behavior is best described by critical coarsening rather than the Zurek-Kibble scenario if we assume that the equilibrium phase transition in this system is in the Ising universality class. The appearance of critical coarsening is likely due to the strong defect interactions in the colloidal ice system leading to relevant defect dynamics during the quench. For hexagonal ice we do not find evidence for a power-law decay in the defect density, which is consistent with the absence of an equilibrium phase transition in the hexagonal ice as well as a lack of critical coarsening.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE Laboratory Directed Research and Development (LDRD) Program

Grant/Contract Number:: 892333218NCA000001; 89233218CNA000001

OSTI ID:: 2325512

Alternate ID(s):: OSTI ID: 1734716

Report Number(s):: LA-UR-19-27840; PPRHAI; 033433

Journal Information:: Physical Review Research, Journal Name: Physical Review Research Vol. 2 Journal Issue: 3; ISSN 2643-1564

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

References (58)

Direct observation of the ice rule in an artificial kagome spin ice Qi, Yi; Brintlinger, T.; Cumings, John Physical Review B, Vol. 77, Issue 9 https://doi.org/10.1103/PhysRevB.77.094418	journal	March 2008
Artificial Square Ice and Related Dipolar Nanoarrays Möller, G.; Moessner, R. Physical Review Letters, Vol. 96, Issue 23 https://doi.org/10.1103/PhysRevLett.96.237202	journal	June 2006
Dumping topological charges on neighbors: ice manifolds for colloids and vortices Nisoli, Cristiano New Journal of Physics, Vol. 16, Issue 11 https://doi.org/10.1088/1367-2630/16/11/113049	journal	November 2014
Geometrical frustration Moessner, Roderich; Ramirez, Arthur P. Physics Today, Vol. 59, Issue 2 https://doi.org/10.1063/1.2186278	journal	February 2006
Crystallites of magnetic charges in artificial spin ice Zhang, Sheng; Gilbert, Ian; Nisoli, Cristiano Nature, Vol. 500, Issue 7464 https://doi.org/10.1038/nature12399	journal	August 2013
The Cosmological Kibble Mechanism in the Laboratory: String Formation in Liquid Crystals Bowick, M. J.; Chandar, L.; Schiff, E. A. Science, Vol. 263, Issue 5149 https://doi.org/10.1126/science.263.5149.943	journal	February 1994
Thermal ground-state ordering and elementary excitations in artificial magnetic square ice Morgan, Jason P.; Stein, Aaron; Langridge, Sean Nature Physics, Vol. 7, Issue 1 https://doi.org/10.1038/nphys1853	journal	November 2010
Unexpected Phenomenology in Particle-Based Ice Absent in Magnetic Spin Ice Nisoli, Cristiano Physical Review Letters, Vol. 120, Issue 16 https://doi.org/10.1103/PhysRevLett.120.167205	journal	April 2018
Advances in artificial spin ice Skjærvø, Sandra H.; Marrows, Christopher H.; Stamps, Robert L. Nature Reviews Physics, Vol. 2, Issue 1 https://doi.org/10.1038/s42254-019-0118-3	journal	November 2019
Thermal Phase Transitions in Artificial Spin Ice Levis, Demian; Cugliandolo, Leticia F.; Foini, Laura Physical Review Letters, Vol. 110, Issue 20 https://doi.org/10.1103/PhysRevLett.110.207206	journal	May 2013
Engineering of frustration in colloidal artificial ices realized on microfeatured grooved lattices Ortiz-Ambriz, Antonio; Tierno, Pietro Nature Communications, Vol. 7, Issue 1 https://doi.org/10.1038/ncomms10575	journal	February 2016
Domain dynamics and fluctuations in artificial square ice at finite temperatures Budrikis, Z.; Livesey, K. L.; Morgan, J. P. New Journal of Physics, Vol. 14, Issue 3 https://doi.org/10.1088/1367-2630/14/3/035014	journal	March 2012
Tuning magnetic order with geometry: Thermalization and defects in two-dimensional artificial spin ices Macauley, Gavin M.; Paterson, Gary W.; Li, Yue Physical Review B, Vol. 101, Issue 14 https://doi.org/10.1103/PhysRevB.101.144403	journal	April 2020
Spontaneous vortices in the formation of Bose–Einstein condensates Weiler, Chad N.; Neely, Tyler W.; Scherer, David R. Nature, Vol. 455, Issue 7215 https://doi.org/10.1038/nature07334	journal	October 2008
Realization of Artificial Ice Systems for Magnetic Vortices in a Superconducting MoGe Thin Film with Patterned Nanostructures Latimer, M. L.; Berdiyorov, G. R.; Xiao, Z. L. Physical Review Letters, Vol. 111, Issue 6 https://doi.org/10.1103/PhysRevLett.111.067001	journal	August 2013
Field-induced phase coexistence in an artificial spin ice Sklenar, Joseph; Lao, Yuyang; Albrecht, Alan Nature Physics, Vol. 15, Issue 2 https://doi.org/10.1038/s41567-018-0348-9	journal	December 2018
Thermodynamic phase transitions in a frustrated magnetic metamaterial Anghinolfi, L.; Luetkens, H.; Perron, J. Nature Communications, Vol. 6, Issue 1 https://doi.org/10.1038/ncomms9278	journal	September 2015
Creating Artificial Ice States Using Vortices in Nanostructured Superconductors Libál, A.; Reichhardt, C. J. Olson; Reichhardt, C. Physical Review Letters, Vol. 102, Issue 23 https://doi.org/10.1103/PhysRevLett.102.237004	journal	June 2009
Thermal fluctuations in artificial spin ice Kapaklis, Vassilios; Arnalds, Unnar B.; Farhan, Alan Nature Nanotechnology, Vol. 9, Issue 7, p. 514-519 https://doi.org/10.1038/nnano.2014.104	journal	June 2014
Dynamic Control of Topological Defects in Artificial Colloidal Ice Libál, A.; Nisoli, C.; Reichhardt, C. Scientific Reports, Vol. 7, Issue 1 https://doi.org/10.1038/s41598-017-00452-w	journal	April 2017
Classical topological order in the kinetics of artificial spin ice Lao, Yuyang; Caravelli, Francesco; Sheikh, Mohammed Nature Physics, Vol. 14, Issue 7 https://doi.org/10.1038/s41567-018-0077-0	journal	April 2018
Mapping degenerate vortex states in a kagome lattice of elongated antidots via scanning Hall probe microscopy Xue, C.; Ge, J. -Y.; He, A. Physical Review B, Vol. 96, Issue 2 https://doi.org/10.1103/PhysRevB.96.024510	journal	July 2017
Spontaneous creation of Kibble–Zurek solitons in a Bose–Einstein condensate Lamporesi, Giacomo; Donadello, Simone; Serafini, Simone Nature Physics, Vol. 9, Issue 10 https://doi.org/10.1038/nphys2734	journal	September 2013
Kibble-Zurek mechanism and infinitely slow annealing through critical points Biroli, Giulio; Cugliandolo, Leticia F.; Sicilia, Alberto Physical Review E, Vol. 81, Issue 5 https://doi.org/10.1103/PhysRevE.81.050101	journal	May 2010
Emergent Coulombic criticality and Kibble-Zurek scaling in a topological magnet Hamp, James; Chandran, Anushya; Moessner, Roderich Physical Review B, Vol. 92, Issue 7 https://doi.org/10.1103/PhysRevB.92.075142	journal	August 2015
Topological frustration of artificial spin ice Drisko, Jasper; Marsh, Thomas; Cumings, John Nature Communications, Vol. 8, Issue 1 https://doi.org/10.1038/ncomms14009	journal	January 2017
Dynamic scaling at classical phase transitions approached through nonequilibrium quenching Liu, Cheng-Wei; Polkovnikov, Anatoli; Sandvik, Anders W. Physical Review B, Vol. 89, Issue 5 https://doi.org/10.1103/PhysRevB.89.054307	journal	February 2014
Scaling Behavior and Beyond Equilibrium in the Hexagonal Manganites Griffin, S. M.; Lilienblum, M.; Delaney, K. T. Physical Review X, Vol. 2, Issue 4 https://doi.org/10.1103/PhysRevX.2.041022	journal	December 2012
Ice rule fragility via topological charge transfer in artificial colloidal ice Libál, András; Lee, Dong Yun; Ortiz-Ambriz, Antonio Nature Communications, Vol. 9, Issue 1 https://doi.org/10.1038/s41467-018-06631-1	journal	October 2018
Ordering and Antiferromagnetism in Ferrites Anderson, P. W. Physical Review, Vol. 102, Issue 4 https://doi.org/10.1103/PhysRev.102.1008	journal	May 1956
Cosmological experiments in superfluid helium? Zurek, W. H. Nature, Vol. 317, Issue 6037 https://doi.org/10.1038/317505a0	journal	October 1985
Emergent magnetic monopole dynamics in macroscopically degenerate artificial spin ice Farhan, Alan; Saccone, Michael; Petersen, Charlotte F. Science Advances, Vol. 5, Issue 2 https://doi.org/10.1126/sciadv.aav6380	journal	February 2019
Critical Behavior of Two-Dimensional Hydrogen-Bonded Antiferroelectrics Wu, F. Y. Physical Review Letters, Vol. 22, Issue 22 https://doi.org/10.1103/PhysRevLett.22.1174	journal	June 1969
Freezing and thawing of artificial ice by thermal switching of geometric frustration in magnetic flux lattices Trastoy, J.; Malnou, M.; Ulysse, C. Nature Nanotechnology, Vol. 9, Issue 9, p. 710-715 https://doi.org/10.1038/nnano.2014.158	journal	August 2014
Nanoscale control of competing interactions and geometrical frustration in a dipolar trident lattice Farhan, Alan; Petersen, Charlotte F.; Dhuey, Scott Nature Communications, Vol. 8, Issue 1 https://doi.org/10.1038/s41467-017-01238-4	journal	October 2017
Theory of dynamic critical phenomena Hohenberg, P. C.; Halperin, B. I. Reviews of Modern Physics, Vol. 49, Issue 3 https://doi.org/10.1103/RevModPhys.49.435	journal	July 1977
Direct observation of magnetic monopole defects in an artificial spin-ice system Ladak, S.; Read, D. E.; Perkins, G. K. Nature Physics, Vol. 6, Issue 5 https://doi.org/10.1038/nphys1628	journal	April 2010
Exact Solution of the $F$ Model of An Antiferroelectric Lieb, Elliott H. Physical Review Letters, Vol. 18, Issue 24 https://doi.org/10.1103/PhysRevLett.18.1046	journal	June 1967
Critical dynamics of spontaneous symmetry breaking in a homogeneous Bose gas Navon, N.; Gaunt, A. L.; Smith, R. P. Science, Vol. 347, Issue 6218 https://doi.org/10.1126/science.1258676	journal	January 2015
Ising Model with Second-Neighbor Interaction. I. Some Exact Results and an Approximate Solution Fan, Chungpeng; Wu, F. Y. Physical Review, Vol. 179, Issue 2 https://doi.org/10.1103/PhysRev.179.560	journal	March 1969
Real-space observation of emergent magnetic monopoles and associated Dirac strings in artificial kagome spin ice Mengotti, Elena; Heyderman, Laura J.; Rodríguez, Arantxa Fraile Nature Physics, Vol. 7, Issue 1 https://doi.org/10.1038/nphys1794	journal	October 2010
Switchable geometric frustration in an artificial-spin-ice–superconductor heterosystem Wang, Yong-Lei; Ma, Xiaoyu; Xu, Jing Nature Nanotechnology, Vol. 13, Issue 7 https://doi.org/10.1038/s41565-018-0162-7	journal	June 2018
Energetics and the ground state quest in an artificial triangular colloidal ice Lee, Dong Yun; Tierno, Pietro Physical Review Materials, Vol. 2, Issue 11 https://doi.org/10.1103/PhysRevMaterials.2.112601	journal	November 2018
Extensive degeneracy, Coulomb phase and magnetic monopoles in artificial square ice Perrin, Yann; Canals, Benjamin; Rougemaille, Nicolas Nature, Vol. 540, Issue 7633 https://doi.org/10.1038/nature20155	journal	November 2016
Topology of cosmic domains and strings Kibble, T. W. B. Journal of Physics A: Mathematical and General, Vol. 9, Issue 8 https://doi.org/10.1088/0305-4470/9/8/029	journal	August 1976
Artificial ‘spin ice’ in a geometrically frustrated lattice of nanoscale ferromagnetic islands Wang, R. F.; Nisoli, C.; Freitas, R. S. Nature, Vol. 439, Issue 7074 https://doi.org/10.1038/nature04447	journal	January 2006
Topological defect formation and spontaneous symmetry breaking in ion Coulomb crystals Pyka, K.; Keller, J.; Partner, H. L. Nature Communications, Vol. 4, Issue 1 https://doi.org/10.1038/ncomms3291	journal	August 2013
Observation of the Kibble–Zurek scaling law for defect formation in ion crystals Ulm, S.; Roßnagel, J.; Jacob, G. Nature Communications, Vol. 4, Issue 1 https://doi.org/10.1038/ncomms3290	journal	August 2013
Spontaneous fluxoid formation in superconducting loops Monaco, R.; Mygind, J.; Rivers, R. J. Physical Review B, Vol. 80, Issue 18 https://doi.org/10.1103/PhysRevB.80.180501	journal	November 2009
Defect Dynamics in Artificial Colloidal Ice: Real-Time Observation, Manipulation, and Logic Gate Loehr, Johannes; Ortiz-Ambriz, Antonio; Tierno, Pietro Physical Review Letters, Vol. 117, Issue 16 https://doi.org/10.1103/PhysRevLett.117.168001	journal	October 2016
Rewritable artificial magnetic charge ice Wang, Y. -L.; Xiao, Z. -L.; Snezhko, A. Science, Vol. 352, Issue 6288 https://doi.org/10.1126/science.aad8037	journal	May 2016
Inner Phases of Colloidal Hexagonal Spin Ice Libál, A.; Nisoli, C.; Reichhardt, C. J. O. Physical Review Letters, Vol. 120, Issue 2 https://doi.org/10.1103/PhysRevLett.120.027204	journal	January 2018
Continuous magnetic phase transition in artificial square ice Sendetskyi, Oles; Scagnoli, Valerio; Leo, Naëmi Physical Review B, Vol. 99, Issue 21 https://doi.org/10.1103/PhysRevB.99.214430	journal	June 2019
Realizing Colloidal Artificial Ice on Arrays of Optical Traps Libál, A.; Reichhardt, C.; Reichhardt, C. J. Olson Physical Review Letters, Vol. 97, Issue 22 https://doi.org/10.1103/PhysRevLett.97.228302	journal	November 2006
Colloquium : Artificial spin ice: Designing and imaging magnetic frustration Nisoli, Cristiano; Moessner, Roderich; Schiffer, Peter Reviews of Modern Physics, Vol. 85, Issue 4 https://doi.org/10.1103/RevModPhys.85.1473	journal	October 2013
Geometrical Frustration in the Ferromagnetic Pyrochlore ${Ho}_{2} {Ti}_{2} O_{7}$ Harris, M. J.; Bramwell, S. T.; McMorrow, D. F. Physical Review Letters, Vol. 79, Issue 13 https://doi.org/10.1103/PhysRevLett.79.2554	journal	September 1997
Spin Ice State in Frustrated Magnetic Pyrochlore Materials Bramwell, S. T. Science, Vol. 294, Issue 5546 https://doi.org/10.1126/science.1064761	journal	November 2001
Magnetic monopoles in spin ice Castelnovo, C.; Moessner, R.; Sondhi, S. L. Nature, Vol. 451, Issue 7174 https://doi.org/10.1038/nature06433	journal	January 2008

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