112:. Indeed, it provides, for two- and three-dimensional systems, a theoretical basis for understanding numerous experimental observations on
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at nearest and next-nearest neighbor sites along one of the crystallographic axes of the
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256:(1982). "Commensurate phases, incommensurate phases, and the devil's staircase".
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304:(1988). "The ANNNI model—Theoretical analysis and experimental application".
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218:(1980). "Infinitely many commensurate phases in a simple Ising model".
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The model is a prototype for complicated spatially modulated magnetic
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To describe experimental results on magnetic orderings in
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148:. Further possible applications range from modeling of
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88:. The model has given its name in 1980 by
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80:, the model was introduced in 1961 by
120:structures, as well as accompanying
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102:low temperature series expansions
33:next-nearest neighbor Ising model
43:. In the ANNNI model, competing
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258:Reports on Progress in Physics
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326:10.1016/0370-1573(88)90140-8
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240:10.1103/PhysRevLett.44.1502
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288:10.1088/0034-4885/45/6/001
16:Variant of the Ising model
198:10.1103/PhysRev.124.346
35:, usually known as the
39:, is a variant of the
346:Statistical mechanics
52:exchange interactions
86:University of Oxford
318:1988PhR...170..213S
270:1982RPPh...45..587B
232:1980PhRvL..44.1502F
190:1961PhRv..124..346E
154:quantum information
98:Monte Carlo methods
21:statistical physics
106:devil's staircases
226:(23): 1502–1505.
122:phase transitions
90:Michael E. Fisher
49:antiferromagnetic
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279:10.1.1.131.4735
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150:cerebral cortex
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312:(4): 213–264.
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264:(6): 587–629.
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118:incommensurate
110:Lifshitz point
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144:, and other
114:commensurate
94:Walter Selke
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356:Spin models
212:M.E. Fisher
41:Ising model
37:ANNNI model
29:anisotropic
340:Categories
160:References
134:adsorbates
274:CiteSeerX
178:Phys. Rev
138:polytypes
84:from the
302:W. Selke
216:W. Selke
71:crystals
314:Bibcode
266:Bibcode
228:Bibcode
186:Bibcode
126:magnets
60:lattice
54:couple
276:
254:P. Bak
146:solids
130:alloys
108:and a
78:erbium
23:, the
56:spins
25:axial
214:and
116:and
92:and
47:and
27:(or
322:doi
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152:to
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