Spatial and Temporal Correlations of XY Macro Spins

Streubel, Robert; Kent, Noah; Dhuey, Scott; Scholl, Andreas; Kevan, Steve; Fischer, Peter

doi:10.1021/acs.nanolett.8b01789

Title: Spatial and Temporal Correlations of XY Macro Spins

Journal Article · Mon Sep 24 00:00:00 EDT 2018 · Nano Letters

DOI:https://doi.org/10.1021/acs.nanolett.8b01789· OSTI ID:1473704

^[1]; Kent, Noah ^[2]; Dhuey, Scott ^[3]; Scholl, Andreas ^[4]; Kevan, Steve ^[5]; Fischer, Peter ^[2]

Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Materials Sciences Division
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Materials Sciences Division; Univ. of California, Santa Cruz, CA (United States). Dept. of Physics
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Molecular Foundry
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Advanced Light Source (ALS)
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Advanced Light Source (ALS); Univ. of Oregon, Eugene, OR (United States). Dept. of Physics

We use nano disk arrays with square and honeycomb symmetry to investigate magnetic phases and spin correlations of XY dipolar systems at the micro scale. Utilizing magnetization sensitive X-ray photoemission electron microscopy, we probe magnetic ground states and the "order-by-disorder" phenomenon predicted 30 years ago. We observe the antiferromagnetic striped ground state in square lattices, and 6-fold symmetric structures, including trigonal vortex lattices and disordered floating vortices, in the honeycomb lattice. The spin frustration in the honeycomb lattice causes a phase transition from a long-range ordered locked phase over a floating phase with quasi long-range order and indications of a Berezinskii-Thouless-Kosterlitz-like character, to the thermally excited paramagnetic state. Absent spatial correlation and quasi periodic switching of isolated vortices in the quasi long-range ordered phase suggest a degeneracy of the vortex circulation.

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Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities Division

Grant/Contract Number:: AC02-05CH11231

OSTI ID:: 1473704

Alternate ID(s):: OSTI ID: 1530322

Journal Information:: Nano Letters, Vol. 18, Issue 12; ISSN 1530-6984

Publisher:: American Chemical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 23 works

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References (40)

Frustration and chiral orderings in correlated electron systems Batista, Cristian D.; Lin, Shi-Zeng; Hayami, Satoru Reports on Progress in Physics, Vol. 79, Issue 8 https://doi.org/10.1088/0034-4885/79/8/084504	journal	July 2016
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
Zero-point entropy in ‘spin ice’ Ramirez, A. P.; Hayashi, A.; Cava, R. J. Nature, Vol. 399, Issue 6734 https://doi.org/10.1038/20619	journal	May 1999
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
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
Solvable Model of a Spin-Glass Sherrington, David; Kirkpatrick, Scott Physical Review Letters, Vol. 35, Issue 26 https://doi.org/10.1103/PhysRevLett.35.1792	journal	December 1975
Spin glasses: Experimental facts, theoretical concepts, and open questions Binder, K.; Young, A. P. Reviews of Modern Physics, Vol. 58, Issue 4 https://doi.org/10.1103/RevModPhys.58.801	journal	October 1986
Resonating valence bonds: A new kind of insulator? Anderson, P. W. Materials Research Bulletin, Vol. 8, Issue 2 https://doi.org/10.1016/0025-5408(73)90167-0	journal	February 1973
Quantum spin liquid states Zhou, Yi; Kanoda, Kazushi; Ng, Tai-Kai Reviews of Modern Physics, Vol. 89, Issue 2 https://doi.org/10.1103/RevModPhys.89.025003	journal	April 2017
Ordering, metastability and phase transitions in two-dimensional systems Kosterlitz, J M; Thouless, D J Journal of Physics C: Solid State Physics, Vol. 6, Issue 7, p. 1181-1203 https://doi.org/10.1088/0022-3719/6/7/010	journal	April 1973
Planar classical dipolar system on a honeycomb lattice Zimmerman, George O.; Ibrahim, A. K.; Wu, F. Y. Physical Review B, Vol. 37, Issue 4 https://doi.org/10.1103/PhysRevB.37.2059	journal	February 1988
Spontaneous skyrmion ground states in magnetic metals Rößler, U. K.; Bogdanov, A. N.; Pfleiderer, C. Nature, Vol. 442, Issue 7104, p. 797-801 https://doi.org/10.1038/nature05056	journal	August 2006
Multiple- $q$ States and the Skyrmion Lattice of the Triangular-Lattice Heisenberg Antiferromagnet under Magnetic Fields Okubo, Tsuyoshi; Chung, Sungki; Kawamura, Hikaru Physical Review Letters, Vol. 108, Issue 1 https://doi.org/10.1103/PhysRevLett.108.017206	journal	January 2012
Multiply periodic states and isolated skyrmions in an anisotropic frustrated magnet Leonov, A. O.; Mostovoy, M. Nature Communications, Vol. 6, Issue 1 https://doi.org/10.1038/ncomms9275	journal	September 2015
Skyrmion dynamics in a frustrated ferromagnetic film and current-induced helicity locking-unlocking transition Zhang, Xichao; Xia, Jing; Zhou, Yan Nature Communications, Vol. 8, Issue 1 https://doi.org/10.1038/s41467-017-01785-w	journal	November 2017
Static three-dimensional topological solitons in fluid chiral ferromagnets and colloids Ackerman, Paul J.; Smalyukh, Ivan I. Nature Materials, Vol. 16, Issue 4 https://doi.org/10.1038/nmat4826	journal	December 2016
Skyrmion Knots in Frustrated Magnets Sutcliffe, Paul Physical Review Letters, Vol. 118, Issue 24 https://doi.org/10.1103/PhysRevLett.118.247203	journal	June 2017
Anisotropic Superexchange Interaction and Weak Ferromagnetism Moriya, Tôru Physical Review, Vol. 120, Issue 1 https://doi.org/10.1103/PhysRev.120.91	journal	October 1960
Order as an effect of disorder Villain, J.; Bidaux, R.; Carton, J. -P. Journal de Physique, Vol. 41, Issue 11 https://doi.org/10.1051/jphys:0198000410110126300	journal	January 1980
Ordering due to disorder in dipolar magnets on two-dimensional lattices Prakash, Sona; Henley, Christopher L. Physical Review B, Vol. 42, Issue 10 https://doi.org/10.1103/PhysRevB.42.6574	journal	October 1990
Dipolar-induced planar anisotropy in ultrathin magnetic films De'Bell, K.; MacIsaac, A. B.; Booth, I. N. Physical Review B, Vol. 55, Issue 22 https://doi.org/10.1103/PhysRevB.55.15108	journal	June 1997
Kosterlitz-Thouless transition of magnetic dipoles on the two-dimensional plane Baek, Seung Ki; Minnhagen, Petter; Kim, Beom Jun Physical Review B, Vol. 83, Issue 18 https://doi.org/10.1103/PhysRevB.83.184409	journal	May 2011
Phase diagram of dipolar-coupled XY moments on disordered square lattices Schildknecht, Dominik; Heyderman, Laura J.; Derlet, Peter M. Physical Review B, Vol. 98, Issue 6 https://doi.org/10.1103/PhysRevB.98.064420	journal	August 2018
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
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
Glassy Spin Dynamics in Geometrically Frustrated Buckled Colloidal Crystals Zhou, Di; Wang, Feng; Li, Bo Physical Review X, Vol. 7, Issue 2 https://doi.org/10.1103/PhysRevX.7.021030	journal	May 2017
Interaction modifiers in artificial spin ices Östman, Erik; Stopfel, Henry; Chioar, Ioan-Augustin Nature Physics, Vol. 14, Issue 4 https://doi.org/10.1038/s41567-017-0027-2	journal	February 2018
Multipolar Ordering and Magnetization Reversal in Two-Dimensional Nanomagnet Arrays Vedmedenko, E. Y.; Mikuszeit, N.; Oepen, H. P. Physical Review Letters, Vol. 95, Issue 20 https://doi.org/10.1103/PhysRevLett.95.207202	journal	November 2005
Magnetic Dipole and Higher Pole Interaction on a Square Lattice Ewerlin, Melanie; Demirbas, Derya; Brüssing, Frank Physical Review Letters, Vol. 110, Issue 17 https://doi.org/10.1103/PhysRevLett.110.177209	journal	April 2013
Thermal transitions in nano-patterned XY-magnets Arnalds, Unnar B.; Ahlberg, Martina; Brewer, Matthew S. Applied Physics Letters, Vol. 105, Issue 4 https://doi.org/10.1063/1.4891479	journal	July 2014
Collective magnetism in an artificial 2D XY spin system Leo, Naëmi; Holenstein, Stefan; Schildknecht, Dominik Nature Communications, Vol. 9, Issue 1 https://doi.org/10.1038/s41467-018-05216-2	journal	July 2018
Soft-x-ray magnetic circular dichroism at the $L_{2, 3}$ edges of nickel Chen, C. T.; Sette, F.; Ma, Y. Physical Review B, Vol. 42, Issue 11 https://doi.org/10.1103/PhysRevB.42.7262	journal	October 1990
X-ray circular dichroism as a probe of orbital magnetization Thole, B. T.; Carra, P.; Sette, F. Physical Review Letters, Vol. 68, Issue 12 https://doi.org/10.1103/PhysRevLett.68.1943	journal	March 1992
Magnetic Microstructure of Rolled-Up Single-Layer Ferromagnetic Nanomembranes Streubel, Robert; Lee, Jehyun; Makarov, Denys Advanced Materials, Vol. 26, Issue 2 https://doi.org/10.1002/adma.201303003	journal	October 2013
Vortex circulation patterns in planar microdisk arrays Velten, Sven; Streubel, Robert; Farhan, Alan Applied Physics Letters, Vol. 110, Issue 26 https://doi.org/10.1063/1.4990990	journal	June 2017
Nanoscale structure of the magnetic induction at monopole defects in artificial spin-ice lattices Phatak, C.; Petford-Long, A. K.; Heinonen, O. Physical Review B, Vol. 83, Issue 17 https://doi.org/10.1103/PhysRevB.83.174431	journal	May 2011
Experimental Evidence of Chiral Ferrimagnetism in Amorphous GdCo Films Streubel, Robert; Lambert, Charles-Henri; Kent, Noah Advanced Materials, Vol. 30, Issue 27 https://doi.org/10.1002/adma.201800199	journal	May 2018
Electron holography—basics and applications Lichte, Hannes; Lehmann, Michael Reports on Progress in Physics, Vol. 71, Issue 1 https://doi.org/10.1088/0034-4885/71/1/016102	journal	December 2007
Real-space observation of a two-dimensional skyrmion crystal Yu, X. Z.; Onose, Y.; Kanazawa, N. Nature, Vol. 465, Issue 7300 https://doi.org/10.1038/nature09124	journal	June 2010
Hartmann characterization of the PEEM-3 aberration-corrected X-ray photoemission electron microscope Scholl, A.; Marcus, M. A.; Doran, A. Ultramicroscopy, Vol. 188 https://doi.org/10.1016/j.ultramic.2018.03.010	journal	May 2018

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Reconfigurable ferromagnetic liquid droplets Liu, Xubo; Kent, Noah; Ceballos, Alejandro Science, Vol. 365, Issue 6450 https://doi.org/10.1126/science.aaw8719	journal	July 2019
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
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
Continuous ground-state degeneracy of classical dipoles on regular lattices Schildknecht, Dominik; Schütt, Michael; Heyderman, Laura J. Physical Review B, Vol. 100, Issue 1 https://doi.org/10.1103/physrevb.100.014426	journal	July 2019
Ice-rule made manifold: phase transitions, topological defects and manifold restoration in two-dimensional artificial spin systems Macauley, Gavin M.; Paterson, Gary W.; Li, Yue arXiv https://doi.org/10.48550/arxiv.1908.08903	text	January 2019

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Related Subjects

77 NANOSCIENCE AND NANOTECHNOLOGY
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
Macro spins
nano disk array
phase transition
spin correlation
X-ray photoemission electron microscopy
XY dipolar systems