ISING MODELS ON TWO-DIMENSIONAL QUASI-CRYSTALS: SOME EXACT RESULTS
1988 ◽
Vol 02
(01)
◽
pp. 49-63
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Keyword(s):
Exactly soluble Z-invariant (or Baxter) models of statistical mechanics are generalised on two-dimensional Penrose lattices based on the de Bruijn construction. A unique soluble model is obtained for each realization of the Penrose lattice. Analysis of these models shows that they are soluble along a line in parameter space which intersects the critical surface at a point that can be determined exactly. In the Ising case, critical exponents along this line are identical with the regular two-dimensional Ising model thus supporting the conventional picture of the universality hypothesis.
1990 ◽
Vol 41
(16)
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pp. 11466-11478
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Keyword(s):
2004 ◽
Vol 121
(22)
◽
pp. 11232
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Keyword(s):
1976 ◽
Vol 24
(4)
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pp. 391-395
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1993 ◽
Vol 62
(3)
◽
pp. 873-879
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1989 ◽
Vol 423
(1865)
◽
pp. 279-300
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Keyword(s):
1997 ◽
Vol 243
(1-2)
◽
pp. 199-212
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Keyword(s):
2008 ◽
Vol 77
(1)
◽
pp. 014002
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Keyword(s):
1998 ◽
Vol 12
(20)
◽
pp. 1995-2003
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Keyword(s):