Abstract
Artificial spin ices were originally introduced as analogs of the pyrochlore spin ices, but have since become a much richer field. The original attractions of building nanotechnological analogs of the pyrochlores were threefold: to allow room temperature studies of geometrical frustration; to provide model statistical mechanical systems where all the relevant parameters in an experiment can be tuned by design; and to be able to examine the exact microstate of those systems using advanced magnetic microscopy methods. From this beginning the field has grown to encompass studies of the effects of quenched disorder, thermally activated dynamics, microwave frequency responses, magnetotransport properties, and the development of lattice geometries–with related emergent physics—that have no analog in naturally-occurring crystalline systems. The field also offers the prospect of contributing to novel magnetic logic devices, since the arrays of nanoislands that form artificial spin ices are similar in many respects to those that are used in the development of magnetic quantum cellular automata. In this chapter, I review the experimental aspects of this story, complementing the theoretical chapter, Chap. 15, by Gia-Wei Chern.
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T. Bartels-Rausch, V. Bergeron, J.H.E. Cartwright, R. Escribano, J.L. Finney, H. Grothe, P.J. Gutiérrez, J. Haapala, W.F. Kuhs, J.B.C. Pettersson, S.D. Price, C.I. Sainz-Díaz, D.J. Stokes, G. Strazzulla, E.S. Thomson, H. Trinks, N. Uras-Aytemiz, Rev. Mod. Phys. 84, 885 (2012). https://doi.org/10.1103/RevModPhys.84.885
L. Pauling, J. Am. Chem. Soc. 57, 2680 (1935). https://doi.org/10.1021/ja01315a102
D.L. Stein, C.M. Newman, Spin Glasses and Complexity (Princeton University Press, Princeton, NJ, 2013). ISBN 9780691147338
S.T. Bramwell, M.J.P. Gingras, Science 294, 1495 (2001). https://doi.org/10.1126/science.1064761
C. Nisoli, R. Moessner, P. Schiffer, Rev. Mod. Phys. 85, 1473 (2013). https://doi.org/10.1103/RevModPhys.85.1473
L.J. Heyderman, R.L. Stamps, J. Phys.: Cond. Matt. 25, 363201 (2013). https://doi.org/10.1088/0953-8984/25/36/363201
J. Cumings, L.J. Heyderman, C.H. Marrows, R.L. Stamps, New J. Phys. 16, 075016 (2014). https://doi.org/10.1088/1367-2630/16/7/075016
R.F. Wang, C. Nisoli, R.S. Freitas, J. Li, W. McConville, B.J. Cooley, M.S. Lund, N. Samarth, C. Leighton, V.H. Crespi, P. Schiffer, Nature 439, 303 (2006). https://doi.org/10.1038/nature04447
J.D. Bernal, R.H. Fowler, J. Chem. Phys. 1, 515 (1933). https://doi.org/10.1063/1.1749327
A.P. Ramirez, A. Hayashi, R.J. Cava, R. Siddharthan, B.S. Shastry, Nature 399, 333 (1999). https://doi.org/10.1038/20619
F. Wu, Phys. Rev. Lett. 18, 605 (1967). https://doi.org/10.1103/PhysRevLett.18.605
E. Lieb, Phys. Rev. Lett. 18, 692 (1967). https://doi.org/10.1103/PhysRevLett.18.692
J.C. Slater, J. Chem. Phys. 9, 16 (1941). https://doi.org/10.1063/1.1750821
E.C. Stoner, E.P. Wohlfarth, Phil. Trans. R. Soc. Lond. A 240, 599 (1948). https://doi.org/10.1098/rsta.1948.0007
J.P. Morgan, A. Stein, S. Langridge, C.H. Marrows, Nature Phys. 7, 75 (2011). https://doi.org/10.1038/nphys1853
A.S. Wills, R. Ballou, C. Lacroix, Phys. Rev. B 66, 144407 (2002). https://doi.org/10.1103/PhysRevB.66.144407
K. Matsuhira, Z. Hiroi, T. Tayama, S. Takagi, T. Sakakibara, J. Phys.: Cond. Matt. 14, L559 (2002). https://doi.org/10.1088/0953-8984/14/29/101
M. Tanaka, E. Saitoh, H. Miyajima, T. Yamaoka, Y. Iye, J. Appl. Phys. 97, 10J710 (2005). https://doi.org/10.1063/1.1854572
E. Mengotti, L. Heyderman, A. Rodríguez, A. Bisig, L. Le Guyader, F. Nolting, H. Braun, Phys. Rev. B 78, 144402 (2008). https://doi.org/10.1103/PhysRevB.78.144402
J.I. Martín, J. Nogués, K. Liu, J.L. Vicente, I.K. Schuller, J. Magn. Magn. Mater. 256, 449 (2003). https://doi.org/10.1016/S0304-8853(02)00898-3
S.A. Daunheimer, O. Petrova, O. Tchernyshyov, J. Cumings, Phys. Rev. Lett. 107, 167201 (2011). https://doi.org/10.1103/PhysRevLett.107.167201
C. Nisoli, New J. Phys. 14, 035017 (2012). https://doi.org/10.1088/1367-2630/14/3/035017
K.K. Kohli, A.L. Balk, J. Li, S. Zhang, I. Gilbert, P.E. Lammert, V.H. Crespi, P. Schiffer, N. Samarth, Phys. Rev. B 84, 180412 (2011). https://doi.org/10.1103/PhysRevB.84.180412
A. Westphalen, A. Schumann, A. Remhof, H. Zabel, M. Karolak, B. Baxevanis, E. Vedmedenko, T. Last, U. Kunze, T. Eimüller, Phys. Rev. B. 77, 174407 (2008). https://doi.org/10.1103/PhysRevB.77.174407
V. Kapaklis, U.B. Arnalds, A. Harman-Clarke, E.T. Papaioannou, M. Karimipour, P. Korelis, A. Taroni, P.C.W. Holdsworth, S.T. Bramwell, B. Hjörvarsson, New J. Phys. 14, 035009 (2012). https://doi.org/10.1088/1367-2630/14/3/035009
M. Tanaka, E. Saitoh, H. Miyajima, T. Yamaoka, Y. Iye, Phys. Rev. B 73, 052411 (2006). https://doi.org/10.1103/PhysRevB.73.052411
B.L. Le, D.W. Rench, R. Misra, L. O’Brien, C. Leighton, N. Samarth, P. Schiffer, New J. Phys. 17, 023047 (2015). https://doi.org/10.1088/1367-2630/17/2/023047
J.P. Morgan, C.J. Kinane, T.R. Charlton, A. Stein, C. Sánchez-Hanke, D.A. Arena, S. Langridge, C.H. Marrows, AIP Advances 2, 022163 (2012). https://doi.org/10.1063/1.4732147
J. Perron, L. Anghinolfi, B. Tudu, N. Jaouen, J.M. Tonnerre, M. Sacchi, F. Nolting, J. Lüning, L.J. Heyderman, Phys. Rev. B 88, 214424 (2013). https://doi.org/10.1103/PhysRevB.88.214424
J. Sklenar, V.S. Bhat, L.E. DeLong, J.B. Ketterson, J. Appl. Phys. 113, 17B530 (2013). https://doi.org/10.1063/1.4800740
S. Gliga, A. Kákay, R. Hertel, O.G. Heinonen, Phys. Rev. Lett. 110, 117205 (2013). https://doi.org/10.1103/PhysRevLett.110.117205
S. Ladak, D.E. Read, G.K. Perkins, L.F. Cohen, W.R. Branford, Nat. Phys. 6, 359 (2010). https://doi.org/10.1038/nphys1628
A. Schumann, B. Sothmann, P. Szary, H. Zabel, Appl. Phys. Lett. 97, 022509 (2010). https://doi.org/10.1063/1.3463482
P. Lammert, X. Ke, J. Li, C. Nisoli, D. Garand, V. Crespi, P. Schiffer, Nat. Phys. 6, 786 (2010). https://doi.org/10.1038/nphys1728
C. Nisoli, J. Li, X. Ke, D. Garand, P. Schiffer, V.H. Crespi, Phys. Rev. Lett. 105, 047205 (2010). https://doi.org/10.1103/PhysRevLett.105.047205
J.P. Morgan, A. Stein, S. Langridge, C.H. Marrows, New J. Phys. 13, 105002 (2011). https://doi.org/10.1088/1367-2630/13/10/105002
J.M. Porro, A. Bedoya-Pinto, A. Berger, P. Vavassori, New J. Phys. 15, 055012 (2013). https://doi.org/10.1088/1367-2630/15/5/055012
S. Zhang, I. Gilbert, C. Nisoli, G.W. Chern, M.J. Erickson, L. O’Brien, C. Leighton, P.E. Lammert, V.H. Crespi, P. Schiffer, Nature 500, 553 (2013). https://doi.org/10.1038/nature12399
I. Gilbert, G.W. Chern, S. Zhang, L. O’Brien, B. Fore, C. Nisoli, P. Schiffer, Nat. Phys. 10, 670 (2014). https://doi.org/10.1038/nphys3037
Y. Qi, T. Brintlinger, J. Cumings, Phys. Rev. B 77, 094418 (2008). https://doi.org/10.1103/PhysRevB.77.094418
C. Phatak, M. Pan, A.K. Petford-Long, S. Hong, M. De Graef, New J. Phys. 14, 075028 (2012). https://doi.org/10.1088/1367-2630/14/7/075028
S.D. Pollard, V. Volkov, Y. Zhu, Phys. Rev. B 85, 180402 (2012). https://doi.org/10.1103/PhysRevB.85.180402
Y. Shen, O. Petrova, P. Mellado, S. Daunheimer, J. Cumings, O. Tchernyshyov, New J. Phys. 14, 035022 (2012). https://doi.org/10.1088/1367-2630/14/3/035022
C. Phatak, A.K. Petford-Long, O. Heinonen, M. Tanase, M. De Graef, Phys. Rev. B 83, 174431 (2011). https://doi.org/10.1103/PhysRevB.83.174431
E. Mengotti, L.J. Heyderman, A. Fraile Rodríguez, F. Nolting, R.V. Hügli, H.B. Braun, Nat. Phys. 7, 68 (2011) https://doi.org/10.1038/nphys1794
N. Rougemaille, F. Montaigne, B. Canals, A. Duluard, D. Lacour, M. Hehn, R. Belkhou, O. Fruchart, S. El Moussaoui, A. Bendounan, F. Maccherozzi, Phys. Rev. Lett. 106, 057209 (2011). https://doi.org/10.1103/PhysRevLett.106.057209
N. Rougemaille, F. Montaigne, B. Canals, M. Hehn, H. Riahi, D. Lacour, J.C. Toussaint, New J. Phys. 15, 035026 (2013). https://doi.org/10.1088/1367-2630/15/3/035026
A. Pushp, T. Phung, C. Rettner, B.P. Hughes, S.H. Yang, L. Thomas, S.S.P. Parkin, Nat. Phys. 9, 505 (2013). https://doi.org/10.1038/nphys2669
F. Montaigne, D. Lacour, I.A. Chioar, N. Rougemaille, D. Louis, S.M. Murtry, H. Riahi, B.S. Burgos, T.O. Menteş, A. Locatelli, B. Canals, M. Hehn, Sci. Rep. 4, 5702 (2014). https://doi.org/10.1038/srep05702
A. Farhan, P.M. Derlet, A. Kleibert, A. Balan, R.V. Chopdekar, M. Wyss, L. Anghinolfi, F. Nolting, L.J. Heyderman, Nat. Phys. 9, 375 (2013). https://doi.org/10.1038/NPHYS2613
A. Farhan, P.M. Derlet, A. Kleibert, A. Balan, R.V. Chopdekar, M. Wyss, J. Perron, A. Scholl, F. Nolting, L.J. Heyderman, Phys. Rev. Lett. 111, 057204 (2013). https://doi.org/10.1103/PhysRevLett.111.057204
V. Kapaklis, U.B. Arnalds, A. Farhan, R.V. Chopdekar, A. Balan, A. Scholl, L.J. Heyderman, B. Hjörvarsson, Nat. Nanotechnol. 9, 514 (2014). https://doi.org/10.1038/NNANO.2014.104
Morley et al., Sci Rep. 9, 15989 (2019). https://doi.org/10.1038/s41598-019-52460-7
S. Ladak, S.K. Walton, K. Zeissler, T. Tyliszczak, D.E. Read, W.R. Branford, L.F. Cohen, New J. Phys. 14, 045010 (2012). https://doi.org/10.1088/1367-2630/14/4/045010
K. Zeissler, S.K. Walton, S. Ladak, D.E. Read, T. Tyliszczak, L.F. Cohen, W.R. Branford, Sci. Rep. 3, 1252 (2013). https://doi.org/10.1038/srep01252
S.K. Walton, K. Zeissler, D.M. Burn, S. Ladak, D.E. Read, T. Tyliszczak, L.F. Cohen, W.R. Branford, New J. Phys. 17, 013054 (2015). https://doi.org/10.1088/1367-2630/17/1/013054
C. Castelnovo, R. Moessner, S.L. Sondhi, Nature 451, 42 (2008). https://doi.org/10.1038/nature06433
P.A.M. Dirac, Proc. Roy. Soc. London A 133, 60 (1931). https://doi.org/10.1098/rspa.1931.0130
T. Fennell, P.P. Deen, A.R. Wildes, K. Schmalzl, D. Prabhakaran, A.T. Boothroyd, R.J. Aldus, D.F. McMorrow, S.T. Bramwell, Science 326, 415 (2009). https://doi.org/10.1126/science.1177582
D.J.P. Morris, D.A. Tennant, S.A. Grigera, B. Klemke, C. Castelnovo, R. Moessner, C. Czternasty, M. Meissner, K.C. Rule, J.U. Hoffmann, K. Kiefer, S. Gerischer, D. Slobinsky, R.S. Perry, Science 326, 411 (2009). https://doi.org/10.1126/science.1178868
H. Kadowaki, N. Doi, Y. Aoki, Y. Tabata, T.J. Sato, J.W. Lynn, K. Matsuhira, Z. Hiroi, J. Phys. Soc. Jpn. 78, 103706 (2009). https://doi.org/10.1143/JPSJ.78.103706
S.T. Bramwell, S.R. Giblin, S. Calder, R. Aldus, D. Prabhakaran, T. Fennell, Nature 461, 956 (2009). https://doi.org/10.1038/nature08500
S.R. Giblin, S.T. Bramwell, P.C.W. Holdsworth, D. Prabhakaran, I. Terry, Nat. Phys. 7, 252 (2011). https://doi.org/10.1038/NPHYS1896
G. Möller, R. Moessner, Phys. Rev. B 80, 140409(R) (2009). https://doi.org/10.1103/PhysRevB.80.140409
R.C. Silva, R.J.C. Lopes, L.A.S. Mól, W.A. Moura-Melo, G.M. Wysin, A.R. Pereira, Phys. Rev. B 87, 014414 (2013). https://doi.org/10.1103/PhysRevB.87.014414
Y. Nambu, Phys. Rev. D 10, 4262 (1974). https://doi.org/10.4262
J. Li, X. Ke, S. Zhang, D. Garand, C. Nisoli, P. Lammert, V.H. Crespi, P. Schiffer, Phys. Rev. B 81, 092406 (2010). https://doi.org/10.1103/PhysRevB.81.092406
S. Zhang, J. Li, I. Gilbert, J. Bartell, M.J. Erickson, Y. Pan, P.E. Lammert, C. Nisoli, K.K. Kohli, R. Misra, V.H. Crespi, N. Samarth, C. Leighton, P. Schiffer, Phys. Rev. Lett. 109, 087201 (2012). https://doi.org/10.1103/PhysRevLett.109.087201
V.S. Bhat, J. Sklenar, B. Farmer, J. Woods, J.T. Hastings, S.J. Lee, J.B. Ketterson, L.E. De Long, Phys. Rev. Lett. 111, 077201 (2013). https://doi.org/10.1103/PhysRevLett.111.077201
D. Shi et al., Nat. Phys. 14, 309 (2018). https://doi.org/10.1038/s41567-017-0009-4
E. Mengotti, L.J. Heyderman, A. Bisig, A. Fraile Rodraguez, L. Le Guyader, F. Nolting, H.B. Braun, J. Appl. Phys. 105, 113113 (2009) https://doi.org/10.1063/1.3133202
M.J. Morrison, T.R. Nelson, C. Nisoli, New J. Phys. 15, 045009 (2013). https://doi.org/10.1088/1367-2630/15/4/045009
G.W. Chern, M.J. Morrison, C. Nisoli, Phys. Rev. Lett. 111, 177201 (2013). https://doi.org/10.1103/PhysRevLett.111.177201
G.W. Chern, P. Mellado, EPL (Europhysics Letters) 114, 37004 (2016). https://doi.org/10.1103/PhysRevLett.102.237004
A. Farhan, A. Scholl, C.F. Petersen, L. Anghinolfi, C. Wuth, S. Dhuey, R.V. Chopdekar, P. Mellado, M.J. Alava, S. van Dijken, Nat. Commun. 7, 12635 (2016). https://doi.org/10.1038/ncomms12635
J.A. Mydosh, Spin Glasses: An Experimental Introduction (Taylor & Francis. London (1993). https://doi.org/10.1201/9781482295191
Z. Islam, I.R. Fisher, J. Zarestky, P.C. Canfield, C. Stassis, A.I. Goldman, Phys. Rev. B 57, R11047 (1998). https://doi.org/10.1103/PhysRevB.57.R11047
M.A. Chernikov, A. Bernasconi, C. Beeli, A. Schilling, H.R. Ott, Phys. Rev. B 48, 3058 (1993). https://doi.org/10.1103/PhysRevB.48.3058
D. Shechtman, I. Blech, D. Gratias, J.W. Cahn, Phys. Rev. Lett. 53, 1951 (1984). https://doi.org/10.1103/PhysRevLett.53.1951
T.J. Sato, H. Takakura, A.P. Tsai, K. Shibata, K. Ohoyama, K.H. Andersen, Phys. Rev. B 61, 476 (2000). https://doi.org/10.1103/PhysRevB.61.476
R. Penrose, Bull. Inst. Math. & Appl. 10, 266 (1974)
E.Y. Vedmedenko, H.P. Oepen, J. Kirschner, Phys. Rev. Lett. 90, 137203 (2003). https://doi.org/10.1103/PhysRevLett.90.137203
E.Y. Vedmedenko, U. Grimm, R. Wiesendanger, Phil. Mag. 86, 733 (2006). https://doi.org/10.1080/14786430500363569
Shi et al., Nat. Phys. 14, 309–314 (2018). https://doi.org/10.1038/s41567-017-0009-4
J. Li, S. Zhang, J. Bartell, C. Nisoli, X. Ke, P.E. Lammert, V.H. Crespi, P. Schiffer, Phys. Rev. B 82, 134407 (2010). https://doi.org/10.1103/PhysRevB.82.134407
H.M. Jaeger, S.R. Nagel, Science 255, 1523 (1992). https://doi.org/10.1126/science.255.5051.1523
G. D’Anna, P. Mayor, A. Barrat, V. Loreto, F. Nori, Nature 424, 909 (2003). https://doi.org/10.1038/nature01867
R.F. Wang, C. Nisoli, R.S. Freitas, J. Li, W. McConville, B.J. Cooley, M.S. Lund, N. Samarth, C. Leighton, V.H. Crespi, P. Schiffer, J. Appl. Phys. 101, 09J104 (2007). https://doi.org/10.1063/1.2712528
C. Nisoli, R. Wang, J. Li, W.F. McConville, P.E. Lammert, P. Schiffer, V.H. Crespi, Phys. Rev. Lett. 98, 217103 (2007). https://doi.org/10.1103/PhysRevLett.98.217103
X. Ke, J. Li, C. Nisoli, P.E. Lammert, W. McConville, R.F. Wang, V.H. Crespi, P. Schiffer, Phys. Rev. Lett. 101, 037205 (2008). https://doi.org/10.1103/PhysRevLett.101.037205
J.P. Morgan, A. Bellew, A. Stein, S. Langridge, C.H. Marrows, Front. Phys. 1, 28 (2013). https://doi.org/10.3389/fphy.2013.00028
Z. Budrikis, P. Politi, R.L. Stamps, Phys. Rev. Lett. 105, 017201 (2010). https://doi.org/10.1103/PhysRevLett.105.017201
Z. Budrikis, J.P. Morgan, J. Akerman, A. Stein, P. Politi, S. Langridge, C.H. Marrows, R.L. Stamps, Phys. Rev. Lett. 109, 037203 (2012). https://doi.org/10.1103/PhysRevLett.109.037203
P.E. Lammert, X. Ke, J. Li, C. Nisoli, D.M. Garand, V.H. Crespi, P. Schiffer, Nat. Phys. 6, 786 (2010). https://doi.org/10.1038/nphys1728
S.J. Greaves, H. Muraoka, J. Appl. Phys. 112, 043909 (2012). https://doi.org/10.1063/1.4747910
Z. Budrikis, K.L. Livesey, J.P. Morgan, J. Akerman, A. Stein, S. Langridge, C.H. Marrows, R.L. Stamps, New J. Phys. 14, 035014 (2012). https://doi.org/10.1088/1367-2630/14/3/035014
J.P. Morgan, J. Akerman, A. Stein, C. Phatak, R.M.L. Evans, S. Langridge, C.H. Marrows, Phys. Rev. B 87, 024405 (2013). https://doi.org/10.1103/PhysRevB.87.024405
D. Levis, L.F. Cugliandolo, L. Foini, M. Tarzia, Phys. Rev. Lett. 110, 207206 (2013). https://doi.org/10.1103/PhysRevLett.110.207206
G.W. Chern, P. Mellado, O. Tchernyshyov, Phys. Rev. Lett. 106, 207202 (2011). https://doi.org/10.1103/PhysRevLett.106.207202
J. Drisko, S. Daunheimer, J. Cumings, Phys. Rev. B 91, 224406 (2015). https://doi.org/10.1103/PhysRevB.91.224406
J. Drisko, T. Marsh, J. Cumings, Nat. Commun. 8, 14009 (2017). https://doi.org/10.1038/ncomms14009
U.B. Arnalds, A. Farhan, R.V. Chopdekar, V. Kapaklis, A. Balan, E.T. Papaioannou, M. Ahlberg, F. Nolting, L.J. Heyderman, B. Hjörvarsson, Appl. Phys. Lett. 101, 112404 (2012). https://doi.org/10.1063/1.4751844
I. Gilbert, Y. Lao, I. Carrasquillo, L. O’Brien, J.D. Watts, M. Manno, C. Leighton, A. Scholl, C. Nisoli, P. Schiffer, Nat. Phys. 12, 162 (2015). https://doi.org/10.1038/nphys3520
X. Zhou, G.L. Chua, N. Singh, A.O. Adeyeye, Adv. Funct. Mater. 26, 1437 (2016). https://doi.org/10.1002/adfm.201505165
V.S. Bhat, F. Heimbach, I. Stasinopoulos, D. Grundler, Phys. Rev. B 93, 140401 (2016). https://doi.org/10.1103/PhysRevB.93.140401
G.W. Chern, C. Reichhardt, C.J. Olson Reichhardt, New J. Phys. 16, 063051 (2014) https://doi.org/10.1088/1367-2630/16/6/063051
G.W. Chern, C. Reichhardt, C. Nisoli, Appl. Phys. Lett. 104, 013101 (2014). https://doi.org/10.1063/1.4861118
Z. Budrikis, P. Politi, R.L. Stamps, New J. Phys. 14(4), 045008 (2012). https://doi.org/10.1088/1367-2630/14/4/045008
D. Davidović, S. Kumar, D. Reich, J. Siegel, S. Field, R.C. Tiberio, R. Hey, K. Ploog, Phys. Rev. Lett. 76, 815 (1996). https://doi.org/10.1103/PhysRevLett.76.815
D. Davidović, S. Kumar, D.H. Reich, J. Siegel, S.B. Field, R.C. Tiberio, R. Hey, K. Ploog, Phys. Rev. B 55, 6518 (1997). https://doi.org/10.1103/PhysRevB.55.6518
A. Libál, C.J.O. Reichhardt, C. Reichhardt, Phys. Rev. Lett. 102, 237004 (2009). https://doi.org/10.1103/PhysRevLett.102.237004
M.L. Latimer, G.R. Berdiyorov, Z.L. Xiao, F.M. Peeters, W.K. Kwok, Phys. Rev. Lett. 111, 067001 (2013). https://doi.org/10.1103/PhysRevLett.111.067001
A. Libál, C. Reichhardt, C.J. Olson Reichhardt, Phys. Rev. Lett. 97, 228302 (2006) https://doi.org/10.1103/PhysRevLett.97.228302
Y. Han, Y. Shokef, A.M. Alsayed, P. Yunker, T.C. Lubensky, A.G. Yodh, Nature 456, 898 (2008). https://doi.org/10.1038/nature07595
P. Mellado, A. Concha, L. Mahadevan, Phys. Rev. Lett. 109, 257203 (2012). https://doi.org/10.1103/PhysRevLett.109.257203
Y.L. Wang, Z.L. Xiao, A. Snezhko, J. Xu, L.E. Ocola, R. Divan, J.E. Pearson, G.W. Crabtree, W.K. Kwok, Science 352, 962 (2016). https://doi.org/10.1126/science.aad8037
R.P. Cowburn, M.E. Welland, Science 287, 1466 (2000). https://doi.org/10.1126/science.287.5457.1466
A. Imre, G. Csaba, L. Ji, A. Orlov, G.H. Bernstein, W. Porod, Science 311, 205 (2006). https://doi.org/10.1126/science.1120506
J.J. Hopfield, Proc. Nat. Acad. Sci. 79, 2554 (1982). https://doi.org/10.1073/pnas.79.8.2554
D. Bhowmik, L. You, S. Salahuddin, Nat. Nanotechnol. 9, 59 (2014). https://doi.org/10.1038/nnano.2013.241
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Marrows, C.H. (2021). Experimental Studies of Artificial Spin Ice. In: Udagawa, M., Jaubert, L. (eds) Spin Ice. Springer Series in Solid-State Sciences, vol 197. Springer, Cham. https://doi.org/10.1007/978-3-030-70860-3_16
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Publisher Name: Springer, Cham
Print ISBN: 978-3-030-70858-0
Online ISBN: 978-3-030-70860-3
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)